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<a href="routing__sat_8cc.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// Copyright 2010-2021 Google LLC</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">// you may not use this file except in compliance with the License.</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// You may obtain a copy of the License at</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">// See the License for the specific language governing permissions and</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment">// limitations under the License.</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> </div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#include <algorithm></span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="preprocessor">#include <cstdint></span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="preprocessor">#include <functional></span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="preprocessor">#include <limits></span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="preprocessor">#include <map></span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="preprocessor">#include <memory></span></div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="preprocessor">#include <utility></span></div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="preprocessor">#include <vector></span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span> </div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="preprocessor">#include "absl/container/flat_hash_map.h"</span></div><div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="preprocessor">#include "absl/time/time.h"</span></div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="preprocessor">#include "<a class="code" href="integral__types_8h.html">ortools/base/integral_types.h</a>"</span></div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#include "<a class="code" href="base_2logging_8h.html">ortools/base/logging.h</a>"</span></div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#include "<a class="code" href="map__util_8h.html">ortools/base/map_util.h</a>"</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="preprocessor">#include "<a class="code" href="constraint__solver_8h.html">ortools/constraint_solver/constraint_solver.h</a>"</span></div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include "<a class="code" href="routing_8h.html">ortools/constraint_solver/routing.h</a>"</span></div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="preprocessor">#include "<a class="code" href="routing__parameters_8pb_8h.html">ortools/constraint_solver/routing_parameters.pb.h</a>"</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="preprocessor">#include "<a class="code" href="routing__types_8h.html">ortools/constraint_solver/routing_types.h</a>"</span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="preprocessor">#include "<a class="code" href="cp__model_8pb_8h.html">ortools/sat/cp_model.pb.h</a>"</span></div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="preprocessor">#include "<a class="code" href="cp__model__solver_8h.html">ortools/sat/cp_model_solver.h</a>"</span></div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor">#include "<a class="code" href="integer_8h.html">ortools/sat/integer.h</a>"</span></div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor">#include "<a class="code" href="sat_2model_8h.html">ortools/sat/model.h</a>"</span></div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="preprocessor">#include "<a class="code" href="sat__parameters_8pb_8h.html">ortools/sat/sat_parameters.pb.h</a>"</span></div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="preprocessor">#include "<a class="code" href="optional__boolean_8pb_8h.html">ortools/util/optional_boolean.pb.h</a>"</span></div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="preprocessor">#include "<a class="code" href="saturated__arithmetic_8h.html">ortools/util/saturated_arithmetic.h</a>"</span></div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span> </div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div><div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1sat.html"> 41</a></span> <span class="keyword">namespace </span>sat {</div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="keyword">namespace </span>{</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span> </div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment">// As of 07/2019, TSPs and VRPs with homogeneous fleets of vehicles are</span></div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment">// supported.</span></div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment">// TODO(user): Support any type of constraints.</span></div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment">// TODO(user): Make VRPs properly support optional nodes.</span></div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="keywordtype">bool</span> RoutingModelCanBeSolvedBySat(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1_routing_model.html">RoutingModel</a>& <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) {</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="keywordflow">return</span> <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetVehicleClassesCount() == 1;</div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span> }</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span> </div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment">// Adds an integer variable to a CpModelProto, returning its index in the proto.</span></div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="keywordtype">int</span> AddVariable(<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html">CpModelProto</a>* cp_model, int64_t lb, int64_t ub) {</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#abef5f55c3278c137faca92b8e433f8ea">variables_size</a>();</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="code" href="classoperations__research_1_1sat_1_1_integer_variable_proto.html">IntegerVariableProto</a>* <span class="keyword">const</span> <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#ad03d1e2f94c4ca4c8004ac5355e6504a">add_variables</a>();</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>->add_domain(lb);</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>->add_domain(ub);</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="keywordflow">return</span> <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>;</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span> }</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span> </div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="comment">// Adds a linear constraint, enforcing</span></div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="comment">// enforcement_literals -> lower_bound <= sum variable * coeff <= upper_bound.</span></div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="keywordtype">void</span> AddLinearConstraint(</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html">CpModelProto</a>* cp_model, int64_t <a class="code" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>, int64_t <a class="code" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>,</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keyword">const</span> std::vector<std::pair<int, double>>& variable_coeffs,</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keyword">const</span> std::vector<int>& enforcement_literals) {</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <a class="code" href="base_2logging_8h.html#ae4db23f10f5d4aad6d735f5a74cd6f8c">CHECK_LE</a>(<a class="code" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>, <a class="code" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>);</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <a class="code" href="classoperations__research_1_1sat_1_1_constraint_proto.html">ConstraintProto</a>* <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a> = cp_model-><a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#ac01de597eeeff5521a8bf54568bf1373">add_constraints</a>();</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> enforcement_literal : enforcement_literals) {</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>->add_enforcement_literal(enforcement_literal);</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  }</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_proto.html">LinearConstraintProto</a>* arg = <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>->mutable_linear();</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  arg-><a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_proto.html#abd89087d68515434d861e10adb0f055e">add_domain</a>(<a class="code" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>);</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  arg-><a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_proto.html#abd89087d68515434d861e10adb0f055e">add_domain</a>(<a class="code" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>);</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> [<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, coeff] : variable_coeffs) {</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  arg-><a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_proto.html#a52d17efda66accf5a25aab163625e0dc">add_vars</a>(<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  arg-><a class="code" href="classoperations__research_1_1sat_1_1_linear_constraint_proto.html#a4b9572c4b6c4b51f1e98efdcd69a7d0f">add_coeffs</a>(coeff);</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  }</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span> }</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span> </div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="comment">// Adds a linear constraint, enforcing</span></div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="comment">// lower_bound <= sum variable * coeff <= upper_bound.</span></div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="keywordtype">void</span> AddLinearConstraint(</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html">CpModelProto</a>* cp_model, int64_t <a class="code" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>, int64_t <a class="code" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>,</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keyword">const</span> std::vector<std::pair<int, double>>& variable_coeffs) {</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  AddLinearConstraint(cp_model, <a class="code" href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a>, <a class="code" href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a>, variable_coeffs, {});</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span> }</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span> </div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="comment">// Returns the unique depot node used in the CP-SAT models (as of 01/2020).</span></div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span> int64_t GetDepotFromModel(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1_routing_model.html">RoutingModel</a>& <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>) { <span class="keywordflow">return</span> <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Start(0); }</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span> </div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="comment">// Structure to keep track of arcs created.</span></div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="keyword">struct </span><a class="code" href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">Arc</a> {</div><div class="line"><a name="l00094"></a><span class="lineno"><a class="line" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe"> 94</a></span>  <span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>;</div><div class="line"><a name="l00095"></a><span class="lineno"><a class="line" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653"> 95</a></span>  <span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>;</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span> </div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceoperations__research.html#ae161405d349af5d521fa0fd25c3b6f83">operator==</a>(<span class="keyword">const</span> <a class="code" href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">Arc</a>& <a class="code" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <span class="keyword">const</span> <a class="code" href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">Arc</a>& <a class="code" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>) {</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keywordflow">return</span> <a class="code" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.tail == <a class="code" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>.tail && <a class="code" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.head == <a class="code" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>.head;</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  }</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> <a class="code" href="namespaceoperations__research_1_1math__opt.html#ab178aaedd4038bc74e549075b3b09a92">operator!=</a>(<span class="keyword">const</span> <a class="code" href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">Arc</a>& <a class="code" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <span class="keyword">const</span> <a class="code" href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">Arc</a>& <a class="code" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>) { <span class="keywordflow">return</span> !(<a class="code" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a> == <a class="code" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>); }</div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keyword">friend</span> <span class="keywordtype">bool</span> operator<(<span class="keyword">const</span> <a class="code" href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">Arc</a>& <a class="code" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>, <span class="keyword">const</span> <a class="code" href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">Arc</a>& <a class="code" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>) {</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="keywordflow">return</span> <a class="code" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.tail == <a class="code" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>.tail ? <a class="code" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.head < <a class="code" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>.head : <a class="code" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.tail < <a class="code" href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a>.tail;</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  }</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keyword">friend</span> std::ostream& <a class="code" href="namespaceoperations__research_1_1sat.html#a15ca399ada8a279dc92f693ede7e4004">operator<<</a>(std::ostream& strm, <span class="keyword">const</span> <a class="code" href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">Arc</a>& arc) {</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="keywordflow">return</span> strm << <span class="stringliteral">"{"</span> << arc.tail << <span class="stringliteral">", "</span> << arc.head << <span class="stringliteral">"}"</span>;</div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  }</div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> H></div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="keyword">friend</span> H <a class="code" href="namespaceoperations__research_1_1math__opt.html#ad1ca9c7e257cf39f0bad100661bc9550">AbslHashValue</a>(H h, <span class="keyword">const</span> <a class="code" href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">Arc</a>& <a class="code" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>) {</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keywordflow">return</span> H::combine(std::move(h), <a class="code" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.tail, <a class="code" href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a>.head);</div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  }</div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span> };</div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span> </div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="keyword">using</span> ArcVarMap = std::map<Arc, int>; <span class="comment">// needs to be stable when iterating</span></div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span> </div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="comment">// Adds all dimensions to a CpModelProto. Only adds path cumul constraints and</span></div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="comment">// cumul bounds.</span></div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="keywordtype">void</span> AddDimensions(<span class="keyword">const</span> RoutingModel& <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <span class="keyword">const</span> ArcVarMap& arc_vars,</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  CpModelProto* cp_model) {</div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> RoutingDimension* dimension : <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetDimensions()) {</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="comment">// Only a single vehicle class.</span></div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1_routing_model.html#a5fa8aee5b0c67072dbbb03f1899ec60a">RoutingModel::TransitCallback2</a>& transit =</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  dimension->transit_evaluator(0);</div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  std::vector<int> cumuls(dimension->cumuls().size(), -1);</div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keyword">const</span> int64_t min_start = dimension->cumuls()[<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Start(0)]->Min();</div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keyword">const</span> int64_t max_end = <a class="code" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(dimension->cumuls()[<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.End(0)]->Max(),</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  dimension->vehicle_capacities()[0]);</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < cumuls.size(); ++i) {</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsStart(i) || <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsEnd(i)) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="comment">// Reducing bounds supposing the triangular inequality.</span></div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="keyword">const</span> int64_t cumul_min =</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(<a class="code" href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">sat::kMinIntegerValue</a>.<a class="code" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>(),</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(dimension->cumuls()[i]->Min(),</div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <a class="code" href="namespaceoperations__research.html#a111f44b9b9cf67a8e8d83794ac9f5291">CapAdd</a>(transit(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Start(0), i), min_start)));</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keyword">const</span> int64_t cumul_max =</div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <a class="code" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(<a class="code" href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">sat::kMaxIntegerValue</a>.<a class="code" href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a>(),</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <a class="code" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(dimension->cumuls()[i]->Max(),</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <a class="code" href="namespaceoperations__research.html#a4a43d435871f16c321861fa5de32df82">CapSub</a>(max_end, transit(i, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.End(0)))));</div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  cumuls[i] = AddVariable(cp_model, cumul_min, cumul_max);</div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  }</div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> arc_var : arc_vars) {</div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> = arc_var.first.tail;</div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> = arc_var.first.head;</div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keywordflow">if</span> (<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> == <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> || <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsStart(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>) || <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsStart(<a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>)) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="comment">// arc[tail][head] -> cumuls[head] >= cumuls[tail] + transit.</span></div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="comment">// This is a relaxation of the model as it does not consider slack max.</span></div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  AddLinearConstraint(</div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  cp_model, transit(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>, <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>), <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::numeric_limits<int64_t>::max</a>(),</div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  {{cumuls[<a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>], 1}, {cumuls[<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>], -1}}, {arc_var.second});</div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  }</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  }</div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span> }</div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span> </div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span> std::vector<int> CreateRanks(<span class="keyword">const</span> RoutingModel& <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="keyword">const</span> ArcVarMap& arc_vars,</div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  CpModelProto* cp_model) {</div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> depot = GetDepotFromModel(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> size = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Size() + <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles();</div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> rank_size = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Size() - <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles();</div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  std::vector<int> ranks(size, -1);</div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < size; ++i) {</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsStart(i) || <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsEnd(i)) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  ranks[i] = AddVariable(cp_model, 0, rank_size);</div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  }</div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  ranks[depot] = AddVariable(cp_model, 0, 0);</div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> arc_var : arc_vars) {</div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> = arc_var.first.tail;</div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> = arc_var.first.head;</div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <span class="keywordflow">if</span> (<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> == <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> || <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> == depot) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="comment">// arc[tail][head] -> ranks[head] == ranks[tail] + 1.</span></div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  AddLinearConstraint(cp_model, 1, 1, {{ranks[<a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>], 1}, {ranks[<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>], -1}},</div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  {arc_var.second});</div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  }</div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="keywordflow">return</span> ranks;</div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span> }</div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span> </div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span> <span class="comment">// Vehicle variables do not actually represent the index of the vehicle</span></div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span> <span class="comment">// performing a node, but we ensure that the values of two vehicle variables</span></div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span> <span class="comment">// are the same if and only if the corresponding nodes are served by the same</span></div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span> <span class="comment">// vehicle.</span></div><div class="line"><a name="l00180"></a><span class="lineno"> 180</span> std::vector<int> CreateVehicleVars(<span class="keyword">const</span> RoutingModel& <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keyword">const</span> ArcVarMap& arc_vars,</div><div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  CpModelProto* cp_model) {</div><div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> depot = GetDepotFromModel(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div><div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> size = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Size() + <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles();</div><div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  std::vector<int> vehicles(size, -1);</div><div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < size; ++i) {</div><div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsStart(i) || <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsEnd(i)) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  vehicles[i] = AddVariable(cp_model, 0, size - 1);</div><div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  }</div><div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> arc_var : arc_vars) {</div><div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> = arc_var.first.tail;</div><div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> = arc_var.first.head;</div><div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="keywordflow">if</span> (<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> == <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> || <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> == depot) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <span class="keywordflow">if</span> (<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> == depot) {</div><div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="comment">// arc[depot][head] -> vehicles[head] == head.</span></div><div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  AddLinearConstraint(cp_model, <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>, <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>, {{vehicles[<a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>], 1}},</div><div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  {arc_var.second});</div><div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  }</div><div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  <span class="comment">// arc[tail][head] -> vehicles[head] == vehicles[tail].</span></div><div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  AddLinearConstraint(cp_model, 0, 0,</div><div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  {{vehicles[<a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>], 1}, {vehicles[<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>], -1}},</div><div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  {arc_var.second});</div><div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  }</div><div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="keywordflow">return</span> vehicles;</div><div class="line"><a name="l00206"></a><span class="lineno"> 206</span> }</div><div class="line"><a name="l00207"></a><span class="lineno"> 207</span> </div><div class="line"><a name="l00208"></a><span class="lineno"> 208</span> <span class="keywordtype">void</span> AddPickupDeliveryConstraints(<span class="keyword">const</span> RoutingModel& <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <span class="keyword">const</span> ArcVarMap& arc_vars,</div><div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  CpModelProto* cp_model) {</div><div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetPickupAndDeliveryPairs().empty()) <span class="keywordflow">return</span>;</div><div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="keyword">const</span> std::vector<int> ranks = CreateRanks(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, arc_vars, cp_model);</div><div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="keyword">const</span> std::vector<int> vehicles =</div><div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  CreateVehicleVars(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, arc_vars, cp_model);</div><div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& pairs : <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetPickupAndDeliveryPairs()) {</div><div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <span class="keyword">const</span> int64_t pickup = pairs.first[0];</div><div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="keyword">const</span> int64_t delivery = pairs.second[0];</div><div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="comment">// ranks[pickup] + 1 <= ranks[delivery].</span></div><div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  AddLinearConstraint(cp_model, 1, <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::numeric_limits<int64_t>::max</a>(),</div><div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  {{ranks[delivery], 1}, {ranks[pickup], -1}});</div><div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <span class="comment">// vehicles[pickup] == vehicles[delivery]</span></div><div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  AddLinearConstraint(cp_model, 0, 0,</div><div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  {{vehicles[delivery], 1}, {vehicles[pickup], -1}});</div><div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  }</div><div class="line"><a name="l00225"></a><span class="lineno"> 225</span> }</div><div class="line"><a name="l00226"></a><span class="lineno"> 226</span> </div><div class="line"><a name="l00227"></a><span class="lineno"> 227</span> <span class="comment">// Converts a RoutingModel to CpModelProto for models with multiple vehicles.</span></div><div class="line"><a name="l00228"></a><span class="lineno"> 228</span> <span class="comment">// All non-start/end nodes have the same index in both models. Start/end nodes</span></div><div class="line"><a name="l00229"></a><span class="lineno"> 229</span> <span class="comment">// map to a single depot index; its value is arbitrarly the index of the start</span></div><div class="line"><a name="l00230"></a><span class="lineno"> 230</span> <span class="comment">// node of the first vehicle in the RoutingModel.</span></div><div class="line"><a name="l00231"></a><span class="lineno"> 231</span> <span class="comment">// The map between CPModelProto arcs and their corresponding arc variable is</span></div><div class="line"><a name="l00232"></a><span class="lineno"> 232</span> <span class="comment">// returned.</span></div><div class="line"><a name="l00233"></a><span class="lineno"> 233</span> ArcVarMap PopulateMultiRouteModelFromRoutingModel(<span class="keyword">const</span> RoutingModel& <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  CpModelProto* cp_model) {</div><div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  ArcVarMap arc_vars;</div><div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_nodes = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Nexts().size();</div><div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> depot = GetDepotFromModel(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div><div class="line"><a name="l00238"></a><span class="lineno"> 238</span> </div><div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  <span class="comment">// Create "arc" variables and set their cost.</span></div><div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> = 0; <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> < num_nodes; ++<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>) {</div><div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> tail_index = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsStart(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>) ? depot : <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>;</div><div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  std::unique_ptr<IntVarIterator> iter(</div><div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.NextVar(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>)->MakeDomainIterator(<span class="keyword">false</span>));</div><div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> : InitAndGetValues(iter.get())) {</div><div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <span class="comment">// Vehicle start and end nodes are represented as a single node in the</span></div><div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="comment">// CP-SAT model. We choose the start index of the first vehicle to</span></div><div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="comment">// represent both. We can also skip any head representing a vehicle start</span></div><div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <span class="comment">// as the CP solver will reject those.</span></div><div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsStart(<a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>)) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> head_index = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsEnd(<a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>) ? depot : <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>;</div><div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keywordflow">if</span> (head_index == tail_index && head_index == depot) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keyword">const</span> int64_t <a class="code" href="routing__flow_8cc.html#a75d7b5e4cab1e156cc7a2c5eba1e16f1">cost</a> = <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> != <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> ? <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetHomogeneousCost(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>, <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>)</div><div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  : <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.UnperformedPenalty(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>);</div><div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <span class="keywordflow">if</span> (<a class="code" href="routing__flow_8cc.html#a75d7b5e4cab1e156cc7a2c5eba1e16f1">cost</a> == <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::numeric_limits<int64_t>::max</a>()) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">Arc</a> arc = {tail_index, head_index};</div><div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="keywordflow">if</span> (<a class="code" href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a>(arc_vars, arc)) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = AddVariable(cp_model, 0, 1);</div><div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <a class="code" href="namespacegtl.html#a5c0d4dea208db4deaa285c06b78d8181">gtl::InsertOrDie</a>(&arc_vars, arc, <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>);</div><div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  cp_model->mutable_objective()->add_vars(<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>);</div><div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  cp_model->mutable_objective()->add_coeffs(<a class="code" href="routing__flow_8cc.html#a75d7b5e4cab1e156cc7a2c5eba1e16f1">cost</a>);</div><div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  }</div><div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  }</div><div class="line"><a name="l00263"></a><span class="lineno"> 263</span> </div><div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  <span class="comment">// Limit the number of routes to the maximum number of vehicles.</span></div><div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  {</div><div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  std::vector<std::pair<int, double>> variable_coeffs;</div><div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> node = 0; node < num_nodes; ++node) {</div><div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsStart(node) || <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsEnd(node)) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <span class="keywordtype">int</span>* <span class="keyword">const</span> <a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> = <a class="code" href="namespacegtl.html#ab9e05694d7776f2eef357feca8b9d647">gtl::FindOrNull</a>(arc_vars, {depot, node});</div><div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  <span class="keywordflow">if</span> (<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> == <span class="keyword">nullptr</span>) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  variable_coeffs.push_back({*<a class="code" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, 1});</div><div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  }</div><div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  AddLinearConstraint(</div><div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  cp_model, 0,</div><div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <a class="code" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles(), <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetMaximumNumberOfActiveVehicles()),</div><div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  variable_coeffs);</div><div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  }</div><div class="line"><a name="l00278"></a><span class="lineno"> 278</span> </div><div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  AddPickupDeliveryConstraints(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, arc_vars, cp_model);</div><div class="line"><a name="l00280"></a><span class="lineno"> 280</span> </div><div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  AddDimensions(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, arc_vars, cp_model);</div><div class="line"><a name="l00282"></a><span class="lineno"> 282</span> </div><div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="comment">// Create Routes constraint, ensuring circuits from and to the depot.</span></div><div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <span class="comment">// This one is a bit tricky, because we need to remap the depot to zero.</span></div><div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <span class="comment">// TODO(user): Make Routes constraints support optional nodes.</span></div><div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  RoutesConstraintProto* routes_ct =</div><div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  cp_model->add_constraints()->mutable_routes();</div><div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> arc_var : arc_vars) {</div><div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> = arc_var.first.tail;</div><div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> = arc_var.first.head;</div><div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  routes_ct->add_tails(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> == 0 ? depot : <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> == depot ? 0 : <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>);</div><div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  routes_ct->add_heads(<a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> == 0 ? depot : <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> == depot ? 0 : <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>);</div><div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  routes_ct->add_literals(arc_var.second);</div><div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  }</div><div class="line"><a name="l00295"></a><span class="lineno"> 295</span> </div><div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  <span class="comment">// Add demands and capacities to improve the LP relaxation and cuts. These are</span></div><div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  <span class="comment">// based on the first "unary" dimension in the model if it exists.</span></div><div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <span class="comment">// TODO(user): We might want to try to get demand lower bounds from</span></div><div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <span class="comment">// non-unary dimensions if no unary exist.</span></div><div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <span class="keyword">const</span> RoutingDimension* master_dimension = <span class="keyword">nullptr</span>;</div><div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> RoutingDimension* dimension : <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetDimensions()) {</div><div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <span class="comment">// Only a single vehicle class is supported.</span></div><div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  <span class="keywordflow">if</span> (dimension->GetUnaryTransitEvaluator(0) != <span class="keyword">nullptr</span>) {</div><div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  master_dimension = dimension;</div><div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  <span class="keywordflow">break</span>;</div><div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  }</div><div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  }</div><div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <span class="keywordflow">if</span> (master_dimension != <span class="keyword">nullptr</span>) {</div><div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1_routing_model.html#a204041e5264282d54dfd198011e776d3">RoutingModel::TransitCallback1</a>& transit =</div><div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  master_dimension->GetUnaryTransitEvaluator(0);</div><div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> node = 0; node < num_nodes; ++node) {</div><div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  <span class="comment">// Tricky: demand is added for all nodes in the sat model; this means</span></div><div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  <span class="comment">// start/end nodes other than the one used for the depot must be ignored.</span></div><div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  <span class="keywordflow">if</span> (!<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsEnd(node) && (!<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsStart(node) || node == depot)) {</div><div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  routes_ct->add_demands(transit(node));</div><div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  }</div><div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  }</div><div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  <a class="code" href="base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0">DCHECK_EQ</a>(routes_ct->demands_size(), num_nodes + 1 - <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles());</div><div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  routes_ct->set_capacity(master_dimension->vehicle_capacities()[0]);</div><div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  }</div><div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="keywordflow">return</span> arc_vars;</div><div class="line"><a name="l00322"></a><span class="lineno"> 322</span> }</div><div class="line"><a name="l00323"></a><span class="lineno"> 323</span> </div><div class="line"><a name="l00324"></a><span class="lineno"> 324</span> <span class="comment">// Converts a RoutingModel with a single vehicle to a CpModelProto.</span></div><div class="line"><a name="l00325"></a><span class="lineno"> 325</span> <span class="comment">// The mapping between CPModelProto arcs and their corresponding arc variables</span></div><div class="line"><a name="l00326"></a><span class="lineno"> 326</span> <span class="comment">// is returned.</span></div><div class="line"><a name="l00327"></a><span class="lineno"> 327</span> ArcVarMap PopulateSingleRouteModelFromRoutingModel(<span class="keyword">const</span> RoutingModel& <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  CpModelProto* cp_model) {</div><div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  ArcVarMap arc_vars;</div><div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_nodes = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Nexts().size();</div><div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  CircuitConstraintProto* circuit =</div><div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  cp_model->add_constraints()->mutable_circuit();</div><div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> = 0; <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> < num_nodes; ++<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>) {</div><div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  std::unique_ptr<IntVarIterator> iter(</div><div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.NextVar(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>)->MakeDomainIterator(<span class="keyword">false</span>));</div><div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> : InitAndGetValues(iter.get())) {</div><div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  <span class="comment">// Vehicle start and end nodes are represented as a single node in the</span></div><div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  <span class="comment">// CP-SAT model. We choose the start index to represent both. We can also</span></div><div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  <span class="comment">// skip any head representing a vehicle start as the CP solver will reject</span></div><div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  <span class="comment">// those.</span></div><div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsStart(<a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>)) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsEnd(<a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>)) <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Start(0);</div><div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  <span class="keyword">const</span> int64_t <a class="code" href="routing__flow_8cc.html#a75d7b5e4cab1e156cc7a2c5eba1e16f1">cost</a> = <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> != <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> ? <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetHomogeneousCost(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>, <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>)</div><div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  : <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.UnperformedPenalty(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>);</div><div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  <span class="keywordflow">if</span> (<a class="code" href="routing__flow_8cc.html#a75d7b5e4cab1e156cc7a2c5eba1e16f1">cost</a> == <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::numeric_limits<int64_t>::max</a>()) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a> = AddVariable(cp_model, 0, 1);</div><div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  circuit->add_literals(<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>);</div><div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  circuit->add_tails(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>);</div><div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  circuit->add_heads(<a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>);</div><div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  cp_model->mutable_objective()->add_vars(<a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>);</div><div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  cp_model->mutable_objective()->add_coeffs(<a class="code" href="routing__flow_8cc.html#a75d7b5e4cab1e156cc7a2c5eba1e16f1">cost</a>);</div><div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  <a class="code" href="namespacegtl.html#a5c0d4dea208db4deaa285c06b78d8181">gtl::InsertOrDie</a>(&arc_vars, {<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>, <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>}, <a class="code" href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a>);</div><div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  }</div><div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  }</div><div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  AddPickupDeliveryConstraints(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, arc_vars, cp_model);</div><div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  AddDimensions(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, arc_vars, cp_model);</div><div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  <span class="keywordflow">return</span> arc_vars;</div><div class="line"><a name="l00358"></a><span class="lineno"> 358</span> }</div><div class="line"><a name="l00359"></a><span class="lineno"> 359</span> </div><div class="line"><a name="l00360"></a><span class="lineno"> 360</span> <span class="comment">// Converts a RoutingModel to a CpModelProto.</span></div><div class="line"><a name="l00361"></a><span class="lineno"> 361</span> <span class="comment">// The mapping between CPModelProto arcs and their corresponding arc variables</span></div><div class="line"><a name="l00362"></a><span class="lineno"> 362</span> <span class="comment">// is returned.</span></div><div class="line"><a name="l00363"></a><span class="lineno"> 363</span> ArcVarMap PopulateModelFromRoutingModel(<span class="keyword">const</span> RoutingModel& <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  CpModelProto* cp_model) {</div><div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles() == 1) {</div><div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  <span class="keywordflow">return</span> PopulateSingleRouteModelFromRoutingModel(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, cp_model);</div><div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  }</div><div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  <span class="keywordflow">return</span> PopulateMultiRouteModelFromRoutingModel(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, cp_model);</div><div class="line"><a name="l00369"></a><span class="lineno"> 369</span> }</div><div class="line"><a name="l00370"></a><span class="lineno"> 370</span> </div><div class="line"><a name="l00371"></a><span class="lineno"> 371</span> <span class="comment">// Converts a CpSolverResponse to an Assignment containing next variables.</span></div><div class="line"><a name="l00372"></a><span class="lineno"> 372</span> <span class="keywordtype">bool</span> ConvertToSolution(<span class="keyword">const</span> CpSolverResponse& <a class="code" href="cp__model__solver_8cc.html#abcd33b18ce6d5a90a4ba5c37cfa58829">response</a>,</div><div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  <span class="keyword">const</span> RoutingModel& <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <span class="keyword">const</span> ArcVarMap& arc_vars,</div><div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  Assignment* solution) {</div><div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  <span class="keywordflow">if</span> (<a class="code" href="cp__model__solver_8cc.html#abcd33b18ce6d5a90a4ba5c37cfa58829">response</a>.status() != <a class="code" href="namespaceoperations__research.html#aa0787bf78fb09d1e30f2451b5a68d4b8af00c8dbdd6e1f11bdae06be94277d293">CpSolverStatus::OPTIMAL</a> &&</div><div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  <a class="code" href="cp__model__solver_8cc.html#abcd33b18ce6d5a90a4ba5c37cfa58829">response</a>.status() != <a class="code" href="namespaceoperations__research_1_1packing_1_1vbp.html#a4604191fbd84a43686f44c25d7bd0161a03f919221217f95d21a593a7120165e1">CpSolverStatus::FEASIBLE</a>)</div><div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> depot = GetDepotFromModel(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div><div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  <span class="keywordtype">int</span> vehicle = 0;</div><div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& arc_var : arc_vars) {</div><div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  <span class="keywordflow">if</span> (<a class="code" href="cp__model__solver_8cc.html#abcd33b18ce6d5a90a4ba5c37cfa58829">response</a>.solution(arc_var.second) != 0) {</div><div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> = arc_var.first.tail;</div><div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> = arc_var.first.head;</div><div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  <span class="keywordflow">if</span> (<a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> == depot) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  <span class="keywordflow">if</span> (<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> != depot) {</div><div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  solution->Add(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.NextVar(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>))->SetValue(<a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>);</div><div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  solution->Add(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.NextVar(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Start(vehicle)))->SetValue(<a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>);</div><div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  ++vehicle;</div><div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  }</div><div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  }</div><div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  }</div><div class="line"><a name="l00393"></a><span class="lineno"> 393</span>  <span class="comment">// Close open routes.</span></div><div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> v = 0; v < <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles(); ++v) {</div><div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  <span class="keywordtype">int</span> current = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Start(v);</div><div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  <span class="keywordflow">while</span> (solution->Contains(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.NextVar(current))) {</div><div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  current = solution->Value(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.NextVar(current));</div><div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  }</div><div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  solution->Add(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.NextVar(current))->SetValue(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.End(v));</div><div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  }</div><div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div><div class="line"><a name="l00402"></a><span class="lineno"> 402</span> }</div><div class="line"><a name="l00403"></a><span class="lineno"> 403</span> </div><div class="line"><a name="l00404"></a><span class="lineno"> 404</span> <span class="comment">// Adds dimensions to a CpModelProto for heterogeneous fleet. Adds path</span></div><div class="line"><a name="l00405"></a><span class="lineno"> 405</span> <span class="comment">// cumul constraints and cumul bounds.</span></div><div class="line"><a name="l00406"></a><span class="lineno"> 406</span> <span class="keywordtype">void</span> AddGeneralizedDimensions(</div><div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  <span class="keyword">const</span> RoutingModel& <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <span class="keyword">const</span> ArcVarMap& arc_vars,</div><div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  <span class="keyword">const</span> std::vector<absl::flat_hash_map<int, int>>& vehicle_performs_node,</div><div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  <span class="keyword">const</span> std::vector<absl::flat_hash_map<int, int>>&</div><div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  vehicle_class_performs_arc,</div><div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  CpModelProto* cp_model) {</div><div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_cp_nodes = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Nexts().size() + <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles() + 1;</div><div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> RoutingDimension* dimension : <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetDimensions()) {</div><div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  <span class="comment">// Initialize cumuls.</span></div><div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  std::vector<int> cumuls(num_cp_nodes, -1);</div><div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> cp_node = 1; cp_node < num_cp_nodes; ++cp_node) {</div><div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> node = cp_node - 1;</div><div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  int64_t cumul_min = dimension->cumuls()[node]->Min();</div><div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  int64_t cumul_max = dimension->cumuls()[node]->Max();</div><div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsStart(node) || <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsEnd(node)) {</div><div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> vehicle = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.VehicleIndex(node);</div><div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  cumul_max =</div><div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  <a class="code" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(cumul_max, dimension->vehicle_capacities()[vehicle]);</div><div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  }</div><div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  cumuls[cp_node] = AddVariable(cp_model, cumul_min, cumul_max);</div><div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  }</div><div class="line"><a name="l00427"></a><span class="lineno"> 427</span> </div><div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  <span class="comment">// Constrain cumuls with vehicle capacities.</span></div><div class="line"><a name="l00429"></a><span class="lineno"> 429</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> vehicle = 0; vehicle < <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles(); vehicle++) {</div><div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> cp_node = 1; cp_node < num_cp_nodes; cp_node++) {</div><div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  <span class="keywordflow">if</span> (!vehicle_performs_node[vehicle].contains(cp_node)) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  <span class="keyword">const</span> int64_t vehicle_capacity =</div><div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  dimension->vehicle_capacities()[vehicle];</div><div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  AddLinearConstraint(cp_model, <a class="code" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::numeric_limits<int64_t>::min</a>(),</div><div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  vehicle_capacity, {{cumuls[cp_node], 1}},</div><div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  {vehicle_performs_node[vehicle].at(cp_node)});</div><div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  }</div><div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  }</div><div class="line"><a name="l00439"></a><span class="lineno"> 439</span> </div><div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  <span class="keywordflow">for</span> (<span class="keyword">auto</span> <a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a> = RoutingVehicleClassIndex(0);</div><div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  <a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a> < <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetVehicleClassesCount(); <a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a>++) {</div><div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  std::vector<int> slack(num_cp_nodes, -1);</div><div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  <span class="keyword">const</span> int64_t span_cost =</div><div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  dimension->GetSpanCostCoefficientForVehicleClass(<a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a>);</div><div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> [arc, arc_var] : arc_vars) {</div><div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  <span class="keyword">const</span> <span class="keyword">auto</span> [cp_tail, cp_head] = arc;</div><div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  <span class="keywordflow">if</span> (cp_tail == cp_head || cp_tail == 0 || cp_head == 0) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  <span class="keywordflow">if</span> (!vehicle_class_performs_arc[<a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a>.value()].contains(</div><div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  arc_var)) {</div><div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  }</div><div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  <span class="comment">// Create slack variable and add span cost to the objective.</span></div><div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  <span class="keywordflow">if</span> (slack[cp_tail] == -1) {</div><div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  <span class="keyword">const</span> int64_t slack_max =</div><div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  cp_tail - 1 < dimension->slacks().size()</div><div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  ? dimension->slacks()[cp_tail - 1]->Max()</div><div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  : 0;</div><div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  slack[cp_tail] = AddVariable(cp_model, 0, slack_max);</div><div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  <span class="keywordflow">if</span> (slack_max > 0 && span_cost > 0) {</div><div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  cp_model->mutable_objective()->add_vars(slack[cp_tail]);</div><div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  cp_model->mutable_objective()->add_coeffs(span_cost);</div><div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  }</div><div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  }</div><div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  <span class="keyword">const</span> int64_t transit = dimension->class_transit_evaluator(</div><div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  <a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a>)(cp_tail - 1, cp_head - 1);</div><div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  <span class="comment">// vehicle_class_performs_arc[vehicle][arc_var] = 1 -></span></div><div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  <span class="comment">// cumuls[cp_head] - cumuls[cp_tail] - slack[cp_tail] = transit</span></div><div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  AddLinearConstraint(</div><div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  cp_model, transit, transit,</div><div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  {{cumuls[cp_head], 1}, {cumuls[cp_tail], -1}, {slack[cp_tail], -1}},</div><div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  {vehicle_class_performs_arc[<a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a>.value()].at(arc_var)});</div><div class="line"><a name="l00472"></a><span class="lineno"> 472</span>  }</div><div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  }</div><div class="line"><a name="l00474"></a><span class="lineno"> 474</span> </div><div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  <span class="comment">// Constrain cumuls with span limits.</span></div><div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> vehicle = 0; vehicle < <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles(); vehicle++) {</div><div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  <span class="keyword">const</span> int64_t span_limit =</div><div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  dimension->vehicle_span_upper_bounds()[vehicle];</div><div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  <span class="keywordflow">if</span> (span_limit == <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::numeric_limits<int64_t>::max</a>()) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  <span class="keywordtype">int</span> cp_start = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Start(vehicle) + 1;</div><div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  <span class="keywordtype">int</span> cp_end = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.End(vehicle) + 1;</div><div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  AddLinearConstraint(cp_model, <a class="code" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::numeric_limits<int64_t>::min</a>(),</div><div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  span_limit,</div><div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  {{cumuls[cp_end], 1}, {cumuls[cp_start], -1}});</div><div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  }</div><div class="line"><a name="l00486"></a><span class="lineno"> 486</span> </div><div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  <span class="comment">// Set soft span upper bound costs.</span></div><div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  <span class="keywordflow">if</span> (dimension->HasSoftSpanUpperBounds()) {</div><div class="line"><a name="l00489"></a><span class="lineno"> 489</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> vehicle = 0; vehicle < <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles(); vehicle++) {</div><div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  <span class="keyword">const</span> <span class="keyword">auto</span> [<a class="code" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a>, <a class="code" href="routing__flow_8cc.html#a75d7b5e4cab1e156cc7a2c5eba1e16f1">cost</a>] =</div><div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  dimension->GetSoftSpanUpperBoundForVehicle(vehicle);</div><div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> cp_start = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Start(vehicle) + 1;</div><div class="line"><a name="l00493"></a><span class="lineno"> 493</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> cp_end = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.End(vehicle) + 1;</div><div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> extra =</div><div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  AddVariable(cp_model, 0,</div><div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  <a class="code" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(dimension->cumuls()[<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.End(vehicle)]->Max(),</div><div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  dimension->vehicle_capacities()[vehicle]));</div><div class="line"><a name="l00498"></a><span class="lineno"> 498</span>  <span class="comment">// -inf <= cumuls[cp_end] - cumuls[cp_start] - extra <= bound</span></div><div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  AddLinearConstraint(</div><div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  cp_model, <a class="code" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::numeric_limits<int64_t>::min</a>(), <a class="code" href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a>,</div><div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  {{cumuls[cp_end], 1}, {cumuls[cp_start], -1}, {extra, -1}});</div><div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  <span class="comment">// Add extra * cost to objective.</span></div><div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  cp_model->mutable_objective()->add_vars(extra);</div><div class="line"><a name="l00504"></a><span class="lineno"> 504</span>  cp_model->mutable_objective()->add_coeffs(<a class="code" href="routing__flow_8cc.html#a75d7b5e4cab1e156cc7a2c5eba1e16f1">cost</a>);</div><div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  }</div><div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  }</div><div class="line"><a name="l00507"></a><span class="lineno"> 507</span>  }</div><div class="line"><a name="l00508"></a><span class="lineno"> 508</span> }</div><div class="line"><a name="l00509"></a><span class="lineno"> 509</span> </div><div class="line"><a name="l00510"></a><span class="lineno"> 510</span> std::vector<int> CreateGeneralizedRanks(<span class="keyword">const</span> RoutingModel& <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  <span class="keyword">const</span> ArcVarMap& arc_vars,</div><div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  <span class="keyword">const</span> std::vector<int>& is_unperformed,</div><div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  CpModelProto* cp_model) {</div><div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> depot = 0;</div><div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_cp_nodes = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Nexts().size() + <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles() + 1;</div><div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  <span class="comment">// Maximum length of a single route (excluding the depot & vehicle end nodes).</span></div><div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="alldiff__cst_8cc.html#a5c4f8c31d1c77116201f5c497e1e19f8">max_rank</a> = num_cp_nodes - 2 * <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles();</div><div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  std::vector<int> ranks(num_cp_nodes, -1);</div><div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  ranks[depot] = AddVariable(cp_model, 0, 0);</div><div class="line"><a name="l00520"></a><span class="lineno"> 520</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> cp_node = 1; cp_node < num_cp_nodes; cp_node++) {</div><div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsEnd(cp_node - 1)) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00522"></a><span class="lineno"> 522</span>  ranks[cp_node] = AddVariable(cp_model, 0, <a class="code" href="alldiff__cst_8cc.html#a5c4f8c31d1c77116201f5c497e1e19f8">max_rank</a>);</div><div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  <span class="comment">// For unperformed nodes rank is 0.</span></div><div class="line"><a name="l00524"></a><span class="lineno"> 524</span>  AddLinearConstraint(cp_model, 0, 0, {{ranks[cp_node], 1}},</div><div class="line"><a name="l00525"></a><span class="lineno"> 525</span>  {is_unperformed[cp_node]});</div><div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  }</div><div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> [arc, arc_var] : arc_vars) {</div><div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  <span class="keyword">const</span> <span class="keyword">auto</span> [cp_tail, cp_head] = arc;</div><div class="line"><a name="l00529"></a><span class="lineno"> 529</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsEnd(cp_head - 1)) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  <span class="keywordflow">if</span> (cp_tail == cp_head || cp_head == depot) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  <span class="comment">// arc[tail][head] -> ranks[head] == ranks[tail] + 1.</span></div><div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  AddLinearConstraint(cp_model, 1, 1,</div><div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  {{ranks[cp_head], 1}, {ranks[cp_tail], -1}}, {arc_var});</div><div class="line"><a name="l00534"></a><span class="lineno"> 534</span>  }</div><div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  <span class="keywordflow">return</span> ranks;</div><div class="line"><a name="l00536"></a><span class="lineno"> 536</span> }</div><div class="line"><a name="l00537"></a><span class="lineno"> 537</span> </div><div class="line"><a name="l00538"></a><span class="lineno"> 538</span> <span class="keywordtype">void</span> AddGeneralizedPickupDeliveryConstraints(</div><div class="line"><a name="l00539"></a><span class="lineno"> 539</span>  <span class="keyword">const</span> RoutingModel& <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, <span class="keyword">const</span> ArcVarMap& arc_vars,</div><div class="line"><a name="l00540"></a><span class="lineno"> 540</span>  <span class="keyword">const</span> std::vector<absl::flat_hash_map<int, int>>& vehicle_performs_node,</div><div class="line"><a name="l00541"></a><span class="lineno"> 541</span>  <span class="keyword">const</span> std::vector<int>& is_unperformed, CpModelProto* cp_model) {</div><div class="line"><a name="l00542"></a><span class="lineno"> 542</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetPickupAndDeliveryPairs().empty()) <span class="keywordflow">return</span>;</div><div class="line"><a name="l00543"></a><span class="lineno"> 543</span>  <span class="keyword">const</span> std::vector<int> ranks =</div><div class="line"><a name="l00544"></a><span class="lineno"> 544</span>  CreateGeneralizedRanks(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, arc_vars, is_unperformed, cp_model);</div><div class="line"><a name="l00545"></a><span class="lineno"> 545</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& pairs : <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetPickupAndDeliveryPairs()) {</div><div class="line"><a name="l00546"></a><span class="lineno"> 546</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> delivery : pairs.second) {</div><div class="line"><a name="l00547"></a><span class="lineno"> 547</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> cp_delivery = delivery + 1;</div><div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> vehicle = 0; vehicle < <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles(); vehicle++) {</div><div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">Arc</a> vehicle_start_delivery_arc = {</div><div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  static_cast<int>(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Start(vehicle) + 1), cp_delivery};</div><div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  <span class="keywordflow">if</span> (<a class="code" href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a>(arc_vars, vehicle_start_delivery_arc)) {</div><div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  <span class="comment">// Forbid vehicle_start -> delivery arc.</span></div><div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  AddLinearConstraint(cp_model, 0, 0,</div><div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  {{arc_vars.at(vehicle_start_delivery_arc), 1}});</div><div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  }</div><div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  }</div><div class="line"><a name="l00557"></a><span class="lineno"> 557</span> </div><div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> pickup : pairs.first) {</div><div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> cp_pickup = pickup + 1;</div><div class="line"><a name="l00560"></a><span class="lineno"> 560</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">Arc</a> delivery_pickup_arc = {cp_delivery, cp_pickup};</div><div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  <span class="keywordflow">if</span> (<a class="code" href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a>(arc_vars, delivery_pickup_arc)) {</div><div class="line"><a name="l00562"></a><span class="lineno"> 562</span>  <span class="comment">// Forbid delivery -> pickup arc.</span></div><div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  AddLinearConstraint(cp_model, 0, 0,</div><div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  {{arc_vars.at(delivery_pickup_arc), 1}});</div><div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  }</div><div class="line"><a name="l00566"></a><span class="lineno"> 566</span> </div><div class="line"><a name="l00567"></a><span class="lineno"> 567</span>  <a class="code" href="base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295">DCHECK_GE</a>(is_unperformed[cp_delivery], 0);</div><div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  <a class="code" href="base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295">DCHECK_GE</a>(is_unperformed[cp_pickup], 0);</div><div class="line"><a name="l00569"></a><span class="lineno"> 569</span>  <span class="comment">// A negative index i refers to NOT the literal at index -i - 1.</span></div><div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  <span class="comment">// -i - 1 ~ NOT i, if value of i in [0, 1] (boolean).</span></div><div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> delivery_performed = -is_unperformed[cp_delivery] - 1;</div><div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> pickup_performed = -is_unperformed[cp_pickup] - 1;</div><div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  <span class="comment">// The same vehicle performs pickup and delivery.</span></div><div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> vehicle = 0; vehicle < <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles(); vehicle++) {</div><div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  <span class="comment">// delivery_performed & pickup_performed -></span></div><div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  <span class="comment">// vehicle_performs_node[vehicle][cp_delivery] -</span></div><div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  <span class="comment">// vehicle_performs_node[vehicle][cp_pickup] = 0</span></div><div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  AddLinearConstraint(</div><div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  cp_model, 0, 0,</div><div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  {{vehicle_performs_node[vehicle].at(cp_delivery), 1},</div><div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  {vehicle_performs_node[vehicle].at(cp_pickup), -1}},</div><div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  {delivery_performed, pickup_performed});</div><div class="line"><a name="l00583"></a><span class="lineno"> 583</span>  }</div><div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  }</div><div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  }</div><div class="line"><a name="l00586"></a><span class="lineno"> 586</span> </div><div class="line"><a name="l00587"></a><span class="lineno"> 587</span>  std::vector<std::pair<int, double>> ranks_difference;</div><div class="line"><a name="l00588"></a><span class="lineno"> 588</span>  <span class="comment">// -SUM(pickup)ranks[pickup].</span></div><div class="line"><a name="l00589"></a><span class="lineno"> 589</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> pickup : pairs.first) {</div><div class="line"><a name="l00590"></a><span class="lineno"> 590</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> cp_pickup = pickup + 1;</div><div class="line"><a name="l00591"></a><span class="lineno"> 591</span>  ranks_difference.push_back({ranks[cp_pickup], -1});</div><div class="line"><a name="l00592"></a><span class="lineno"> 592</span>  }</div><div class="line"><a name="l00593"></a><span class="lineno"> 593</span>  <span class="comment">// SUM(delivery)ranks[delivery].</span></div><div class="line"><a name="l00594"></a><span class="lineno"> 594</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> delivery : pairs.second) {</div><div class="line"><a name="l00595"></a><span class="lineno"> 595</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> cp_delivery = delivery + 1;</div><div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  ranks_difference.push_back({ranks[cp_delivery], 1});</div><div class="line"><a name="l00597"></a><span class="lineno"> 597</span>  }</div><div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  <span class="comment">// SUM(delivery)ranks[delivery] - SUM(pickup)ranks[pickup] >= 1</span></div><div class="line"><a name="l00599"></a><span class="lineno"> 599</span>  AddLinearConstraint(cp_model, 1, <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::numeric_limits<int64_t>::max</a>(),</div><div class="line"><a name="l00600"></a><span class="lineno"> 600</span>  ranks_difference);</div><div class="line"><a name="l00601"></a><span class="lineno"> 601</span>  }</div><div class="line"><a name="l00602"></a><span class="lineno"> 602</span> }</div><div class="line"><a name="l00603"></a><span class="lineno"> 603</span> </div><div class="line"><a name="l00604"></a><span class="lineno"> 604</span> <span class="comment">// Converts a RoutingModel to CpModelProto for models with multiple</span></div><div class="line"><a name="l00605"></a><span class="lineno"> 605</span> <span class="comment">// vehicles. The node 0 is depot. All nodes in CpModel have index increased</span></div><div class="line"><a name="l00606"></a><span class="lineno"> 606</span> <span class="comment">// by 1 in comparison to the RoutingModel. Each start node has only 1</span></div><div class="line"><a name="l00607"></a><span class="lineno"> 607</span> <span class="comment">// incoming arc (from depot), each end node has only 1 outgoing arc (to</span></div><div class="line"><a name="l00608"></a><span class="lineno"> 608</span> <span class="comment">// depot). The mapping from CPModelProto arcs to their corresponding arc</span></div><div class="line"><a name="l00609"></a><span class="lineno"> 609</span> <span class="comment">// variable is returned.</span></div><div class="line"><a name="l00610"></a><span class="lineno"> 610</span> ArcVarMap PopulateGeneralizedRouteModelFromRoutingModel(</div><div class="line"><a name="l00611"></a><span class="lineno"> 611</span>  <span class="keyword">const</span> RoutingModel& <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, CpModelProto* cp_model) {</div><div class="line"><a name="l00612"></a><span class="lineno"> 612</span>  ArcVarMap arc_vars;</div><div class="line"><a name="l00613"></a><span class="lineno"> 613</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> depot = 0;</div><div class="line"><a name="l00614"></a><span class="lineno"> 614</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_nodes = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Nexts().size();</div><div class="line"><a name="l00615"></a><span class="lineno"> 615</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_cp_nodes = num_nodes + <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles() + 1;</div><div class="line"><a name="l00616"></a><span class="lineno"> 616</span>  <span class="comment">// vehicle_performs_node[vehicle][node] equals to 1 if the vehicle performs</span></div><div class="line"><a name="l00617"></a><span class="lineno"> 617</span>  <span class="comment">// the node, and 0 otherwise.</span></div><div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  std::vector<absl::flat_hash_map<int, int>> vehicle_performs_node(</div><div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles());</div><div class="line"><a name="l00620"></a><span class="lineno"> 620</span>  <span class="comment">// Connect vehicles start and end nodes to depot.</span></div><div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> vehicle = 0; vehicle < <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles(); vehicle++) {</div><div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> cp_start = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Start(vehicle) + 1;</div><div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">Arc</a> start_arc = {depot, cp_start};</div><div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> start_arc_var = AddVariable(cp_model, 1, 1);</div><div class="line"><a name="l00625"></a><span class="lineno"> 625</span>  <a class="code" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(!<a class="code" href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a>(arc_vars, start_arc));</div><div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  arc_vars.insert({start_arc, start_arc_var});</div><div class="line"><a name="l00627"></a><span class="lineno"> 627</span> </div><div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> cp_end = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.End(vehicle) + 1;</div><div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">Arc</a> end_arc = {cp_end, depot};</div><div class="line"><a name="l00630"></a><span class="lineno"> 630</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> end_arc_var = AddVariable(cp_model, 1, 1);</div><div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  <a class="code" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(!<a class="code" href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a>(arc_vars, end_arc));</div><div class="line"><a name="l00632"></a><span class="lineno"> 632</span>  arc_vars.insert({end_arc, end_arc_var});</div><div class="line"><a name="l00633"></a><span class="lineno"> 633</span> </div><div class="line"><a name="l00634"></a><span class="lineno"> 634</span>  vehicle_performs_node[vehicle][cp_start] = start_arc_var;</div><div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  vehicle_performs_node[vehicle][cp_end] = end_arc_var;</div><div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  }</div><div class="line"><a name="l00637"></a><span class="lineno"> 637</span> </div><div class="line"><a name="l00638"></a><span class="lineno"> 638</span>  <span class="comment">// is_unperformed[node] variable equals to 1 if visit is unperformed, and 0</span></div><div class="line"><a name="l00639"></a><span class="lineno"> 639</span>  <span class="comment">// otherwise.</span></div><div class="line"><a name="l00640"></a><span class="lineno"> 640</span>  std::vector<int> is_unperformed(num_cp_nodes, -1);</div><div class="line"><a name="l00641"></a><span class="lineno"> 641</span>  <span class="comment">// Initialize is_unperformed variables for nodes that must be performed.</span></div><div class="line"><a name="l00642"></a><span class="lineno"> 642</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> node = 0; node < num_nodes; node++) {</div><div class="line"><a name="l00643"></a><span class="lineno"> 643</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> cp_node = node + 1;</div><div class="line"><a name="l00644"></a><span class="lineno"> 644</span>  <span class="comment">// Forced active and nodes that are not involved in any disjunctions are</span></div><div class="line"><a name="l00645"></a><span class="lineno"> 645</span>  <span class="comment">// always performed.</span></div><div class="line"><a name="l00646"></a><span class="lineno"> 646</span>  <span class="keyword">const</span> std::vector<RoutingDisjunctionIndex>& disjunction_indices =</div><div class="line"><a name="l00647"></a><span class="lineno"> 647</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetDisjunctionIndices(node);</div><div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  <span class="keywordflow">if</span> (disjunction_indices.empty() || <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.ActiveVar(node)->Min() == 1) {</div><div class="line"><a name="l00649"></a><span class="lineno"> 649</span>  is_unperformed[cp_node] = AddVariable(cp_model, 0, 0);</div><div class="line"><a name="l00650"></a><span class="lineno"> 650</span>  <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00651"></a><span class="lineno"> 651</span>  }</div><div class="line"><a name="l00652"></a><span class="lineno"> 652</span>  <span class="comment">// Check if the node is in a forced active disjunction.</span></div><div class="line"><a name="l00653"></a><span class="lineno"> 653</span>  <span class="keywordflow">for</span> (RoutingDisjunctionIndex disjunction_index : disjunction_indices) {</div><div class="line"><a name="l00654"></a><span class="lineno"> 654</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_nodes =</div><div class="line"><a name="l00655"></a><span class="lineno"> 655</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetDisjunctionNodeIndices(disjunction_index).size();</div><div class="line"><a name="l00656"></a><span class="lineno"> 656</span>  <span class="keyword">const</span> int64_t penalty = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetDisjunctionPenalty(disjunction_index);</div><div class="line"><a name="l00657"></a><span class="lineno"> 657</span>  <span class="keyword">const</span> int64_t max_cardinality =</div><div class="line"><a name="l00658"></a><span class="lineno"> 658</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetDisjunctionMaxCardinality(disjunction_index);</div><div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  <span class="keywordflow">if</span> (num_nodes == max_cardinality &&</div><div class="line"><a name="l00660"></a><span class="lineno"> 660</span>  (penalty < 0 || penalty == <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::numeric_limits<int64_t>::max</a>())) {</div><div class="line"><a name="l00661"></a><span class="lineno"> 661</span>  <span class="comment">// Nodes in this disjunction are forced active.</span></div><div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  is_unperformed[cp_node] = AddVariable(cp_model, 0, 0);</div><div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  <span class="keywordflow">break</span>;</div><div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  }</div><div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  }</div><div class="line"><a name="l00666"></a><span class="lineno"> 666</span>  }</div><div class="line"><a name="l00667"></a><span class="lineno"> 667</span>  <span class="comment">// Add alternative visits. Create self-looped arc variables. Set penalty for</span></div><div class="line"><a name="l00668"></a><span class="lineno"> 668</span>  <span class="comment">// not performing disjunctions.</span></div><div class="line"><a name="l00669"></a><span class="lineno"> 669</span>  <span class="keywordflow">for</span> (RoutingDisjunctionIndex disjunction_index(0);</div><div class="line"><a name="l00670"></a><span class="lineno"> 670</span>  disjunction_index < <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetNumberOfDisjunctions();</div><div class="line"><a name="l00671"></a><span class="lineno"> 671</span>  disjunction_index++) {</div><div class="line"><a name="l00672"></a><span class="lineno"> 672</span>  <span class="keyword">const</span> std::vector<int64_t>& disjunction_indices =</div><div class="line"><a name="l00673"></a><span class="lineno"> 673</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetDisjunctionNodeIndices(disjunction_index);</div><div class="line"><a name="l00674"></a><span class="lineno"> 674</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> disjunction_size = disjunction_indices.size();</div><div class="line"><a name="l00675"></a><span class="lineno"> 675</span>  <span class="keyword">const</span> int64_t penalty = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetDisjunctionPenalty(disjunction_index);</div><div class="line"><a name="l00676"></a><span class="lineno"> 676</span>  <span class="keyword">const</span> int64_t max_cardinality =</div><div class="line"><a name="l00677"></a><span class="lineno"> 677</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetDisjunctionMaxCardinality(disjunction_index);</div><div class="line"><a name="l00678"></a><span class="lineno"> 678</span>  <span class="comment">// Case when disjunction involves only 1 node, the node is only present in</span></div><div class="line"><a name="l00679"></a><span class="lineno"> 679</span>  <span class="comment">// this disjunction, and the node can be unperformed.</span></div><div class="line"><a name="l00680"></a><span class="lineno"> 680</span>  <span class="keywordflow">if</span> (disjunction_size == 1 &&</div><div class="line"><a name="l00681"></a><span class="lineno"> 681</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetDisjunctionIndices(disjunction_indices[0]).size() == 1 &&</div><div class="line"><a name="l00682"></a><span class="lineno"> 682</span>  is_unperformed[disjunction_indices[0] + 1] == -1) {</div><div class="line"><a name="l00683"></a><span class="lineno"> 683</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> cp_node = disjunction_indices[0] + 1;</div><div class="line"><a name="l00684"></a><span class="lineno"> 684</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">Arc</a> arc = {cp_node, cp_node};</div><div class="line"><a name="l00685"></a><span class="lineno"> 685</span>  <a class="code" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(!<a class="code" href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a>(arc_vars, arc));</div><div class="line"><a name="l00686"></a><span class="lineno"> 686</span>  is_unperformed[cp_node] = AddVariable(cp_model, 0, 1);</div><div class="line"><a name="l00687"></a><span class="lineno"> 687</span>  arc_vars.insert({arc, is_unperformed[cp_node]});</div><div class="line"><a name="l00688"></a><span class="lineno"> 688</span>  cp_model->mutable_objective()->add_vars(is_unperformed[cp_node]);</div><div class="line"><a name="l00689"></a><span class="lineno"> 689</span>  cp_model->mutable_objective()->add_coeffs(penalty);</div><div class="line"><a name="l00690"></a><span class="lineno"> 690</span>  <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00691"></a><span class="lineno"> 691</span>  }</div><div class="line"><a name="l00692"></a><span class="lineno"> 692</span>  <span class="comment">// num_performed + SUM(node)is_unperformed[node] = disjunction_size</span></div><div class="line"><a name="l00693"></a><span class="lineno"> 693</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_performed = AddVariable(cp_model, 0, max_cardinality);</div><div class="line"><a name="l00694"></a><span class="lineno"> 694</span>  std::vector<std::pair<int, double>> var_coeffs;</div><div class="line"><a name="l00695"></a><span class="lineno"> 695</span>  var_coeffs.push_back({num_performed, 1});</div><div class="line"><a name="l00696"></a><span class="lineno"> 696</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span> node : disjunction_indices) {</div><div class="line"><a name="l00697"></a><span class="lineno"> 697</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> cp_node = node + 1;</div><div class="line"><a name="l00698"></a><span class="lineno"> 698</span>  <span class="comment">// Node can be unperformed.</span></div><div class="line"><a name="l00699"></a><span class="lineno"> 699</span>  <span class="keywordflow">if</span> (is_unperformed[cp_node] == -1) {</div><div class="line"><a name="l00700"></a><span class="lineno"> 700</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">Arc</a> arc = {cp_node, cp_node};</div><div class="line"><a name="l00701"></a><span class="lineno"> 701</span>  <a class="code" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(!<a class="code" href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a>(arc_vars, arc));</div><div class="line"><a name="l00702"></a><span class="lineno"> 702</span>  is_unperformed[cp_node] = AddVariable(cp_model, 0, 1);</div><div class="line"><a name="l00703"></a><span class="lineno"> 703</span>  arc_vars.insert({arc, is_unperformed[cp_node]});</div><div class="line"><a name="l00704"></a><span class="lineno"> 704</span>  }</div><div class="line"><a name="l00705"></a><span class="lineno"> 705</span>  var_coeffs.push_back({is_unperformed[cp_node], 1});</div><div class="line"><a name="l00706"></a><span class="lineno"> 706</span>  }</div><div class="line"><a name="l00707"></a><span class="lineno"> 707</span>  AddLinearConstraint(cp_model, disjunction_size, disjunction_size,</div><div class="line"><a name="l00708"></a><span class="lineno"> 708</span>  var_coeffs);</div><div class="line"><a name="l00709"></a><span class="lineno"> 709</span>  <span class="comment">// When penalty is negative or max int64_t (forced active), num_violated is</span></div><div class="line"><a name="l00710"></a><span class="lineno"> 710</span>  <span class="comment">// 0.</span></div><div class="line"><a name="l00711"></a><span class="lineno"> 711</span>  <span class="keywordflow">if</span> (penalty < 0 || penalty == <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::numeric_limits<int64_t>::max</a>()) {</div><div class="line"><a name="l00712"></a><span class="lineno"> 712</span>  AddLinearConstraint(cp_model, max_cardinality, max_cardinality,</div><div class="line"><a name="l00713"></a><span class="lineno"> 713</span>  {{num_performed, 1}});</div><div class="line"><a name="l00714"></a><span class="lineno"> 714</span>  <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00715"></a><span class="lineno"> 715</span>  }</div><div class="line"><a name="l00716"></a><span class="lineno"> 716</span>  <span class="comment">// If number of active indices is less than max_cardinality, then for each</span></div><div class="line"><a name="l00717"></a><span class="lineno"> 717</span>  <span class="comment">// violated index 'penalty' is paid.</span></div><div class="line"><a name="l00718"></a><span class="lineno"> 718</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_violated = AddVariable(cp_model, 0, max_cardinality);</div><div class="line"><a name="l00719"></a><span class="lineno"> 719</span>  cp_model->mutable_objective()->add_vars(num_violated);</div><div class="line"><a name="l00720"></a><span class="lineno"> 720</span>  cp_model->mutable_objective()->add_coeffs(penalty);</div><div class="line"><a name="l00721"></a><span class="lineno"> 721</span>  <span class="comment">// num_performed + num_violated = max_cardinality</span></div><div class="line"><a name="l00722"></a><span class="lineno"> 722</span>  AddLinearConstraint(cp_model, max_cardinality, max_cardinality,</div><div class="line"><a name="l00723"></a><span class="lineno"> 723</span>  {{num_performed, 1}, {num_violated, 1}});</div><div class="line"><a name="l00724"></a><span class="lineno"> 724</span>  }</div><div class="line"><a name="l00725"></a><span class="lineno"> 725</span>  <span class="comment">// Create "arc" variables.</span></div><div class="line"><a name="l00726"></a><span class="lineno"> 726</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> = 0; <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> < num_nodes; ++<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>) {</div><div class="line"><a name="l00727"></a><span class="lineno"> 727</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> cp_tail = <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> + 1;</div><div class="line"><a name="l00728"></a><span class="lineno"> 728</span>  std::unique_ptr<IntVarIterator> iter(</div><div class="line"><a name="l00729"></a><span class="lineno"> 729</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.NextVar(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>)->MakeDomainIterator(<span class="keyword">false</span>));</div><div class="line"><a name="l00730"></a><span class="lineno"> 730</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> : InitAndGetValues(iter.get())) {</div><div class="line"><a name="l00731"></a><span class="lineno"> 731</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> cp_head = <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> + 1;</div><div class="line"><a name="l00732"></a><span class="lineno"> 732</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsStart(<a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>)) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00733"></a><span class="lineno"> 733</span>  <span class="comment">// Arcs for unperformed visits have already been created.</span></div><div class="line"><a name="l00734"></a><span class="lineno"> 734</span>  <span class="keywordflow">if</span> (<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> == <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00735"></a><span class="lineno"> 735</span>  <span class="comment">// Direct arcs from start to end nodes should exist only if they are</span></div><div class="line"><a name="l00736"></a><span class="lineno"> 736</span>  <span class="comment">// for the same vehicle.</span></div><div class="line"><a name="l00737"></a><span class="lineno"> 737</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsStart(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>) && <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsEnd(<a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>) &&</div><div class="line"><a name="l00738"></a><span class="lineno"> 738</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.VehicleIndex(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>) != <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.VehicleIndex(<a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>)) {</div><div class="line"><a name="l00739"></a><span class="lineno"> 739</span>  <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00740"></a><span class="lineno"> 740</span>  }</div><div class="line"><a name="l00741"></a><span class="lineno"> 741</span> </div><div class="line"><a name="l00742"></a><span class="lineno"> 742</span>  <span class="keywordtype">bool</span> feasible = <span class="keyword">false</span>;</div><div class="line"><a name="l00743"></a><span class="lineno"> 743</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> vehicle = 0; vehicle < <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles(); vehicle++) {</div><div class="line"><a name="l00744"></a><span class="lineno"> 744</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetArcCostForVehicle(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>, <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>, vehicle) !=</div><div class="line"><a name="l00745"></a><span class="lineno"> 745</span>  <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::numeric_limits<int64_t>::max</a>()) {</div><div class="line"><a name="l00746"></a><span class="lineno"> 746</span>  feasible = <span class="keyword">true</span>;</div><div class="line"><a name="l00747"></a><span class="lineno"> 747</span>  <span class="keywordflow">break</span>;</div><div class="line"><a name="l00748"></a><span class="lineno"> 748</span>  }</div><div class="line"><a name="l00749"></a><span class="lineno"> 749</span>  }</div><div class="line"><a name="l00750"></a><span class="lineno"> 750</span>  <span class="keywordflow">if</span> (!feasible) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00751"></a><span class="lineno"> 751</span> </div><div class="line"><a name="l00752"></a><span class="lineno"> 752</span>  <span class="keyword">const</span> <a class="code" href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">Arc</a> arc = {cp_tail, cp_head};</div><div class="line"><a name="l00753"></a><span class="lineno"> 753</span>  <a class="code" href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a>(!<a class="code" href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a>(arc_vars, arc));</div><div class="line"><a name="l00754"></a><span class="lineno"> 754</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> arc_var = AddVariable(cp_model, 0, 1);</div><div class="line"><a name="l00755"></a><span class="lineno"> 755</span>  arc_vars.insert({arc, arc_var});</div><div class="line"><a name="l00756"></a><span class="lineno"> 756</span>  }</div><div class="line"><a name="l00757"></a><span class="lineno"> 757</span>  }</div><div class="line"><a name="l00758"></a><span class="lineno"> 758</span> </div><div class="line"><a name="l00759"></a><span class="lineno"> 759</span>  <span class="comment">// Set literals for vehicle performing node.</span></div><div class="line"><a name="l00760"></a><span class="lineno"> 760</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> cp_node = 1; cp_node < num_cp_nodes; cp_node++) {</div><div class="line"><a name="l00761"></a><span class="lineno"> 761</span>  <span class="comment">// For starts and ends nodes vehicle_performs_node variables already set.</span></div><div class="line"><a name="l00762"></a><span class="lineno"> 762</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsStart(cp_node - 1) || <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsEnd(cp_node - 1)) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00763"></a><span class="lineno"> 763</span>  <span class="comment">// Each node should be performed by 1 vehicle, or be unperformed.</span></div><div class="line"><a name="l00764"></a><span class="lineno"> 764</span>  <span class="comment">// SUM(vehicle)(vehicle_performs_node[vehicle][cp_node]) + loop(cp_node) = 1</span></div><div class="line"><a name="l00765"></a><span class="lineno"> 765</span>  std::vector<std::pair<int, double>> var_coeffs;</div><div class="line"><a name="l00766"></a><span class="lineno"> 766</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> vehicle = 0; vehicle < <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles(); vehicle++) {</div><div class="line"><a name="l00767"></a><span class="lineno"> 767</span>  vehicle_performs_node[vehicle][cp_node] = AddVariable(cp_model, 0, 1);</div><div class="line"><a name="l00768"></a><span class="lineno"> 768</span>  var_coeffs.push_back({vehicle_performs_node[vehicle][cp_node], 1});</div><div class="line"><a name="l00769"></a><span class="lineno"> 769</span>  }</div><div class="line"><a name="l00770"></a><span class="lineno"> 770</span>  var_coeffs.push_back({is_unperformed[cp_node], 1});</div><div class="line"><a name="l00771"></a><span class="lineno"> 771</span>  AddLinearConstraint(cp_model, 1, 1, var_coeffs);</div><div class="line"><a name="l00772"></a><span class="lineno"> 772</span>  }</div><div class="line"><a name="l00773"></a><span class="lineno"> 773</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_vehicle_classes = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetVehicleClassesCount();</div><div class="line"><a name="l00774"></a><span class="lineno"> 774</span>  <span class="comment">// vehicle_class_performs_node[vehicle_class][node] equals to 1 if the</span></div><div class="line"><a name="l00775"></a><span class="lineno"> 775</span>  <span class="comment">// vehicle of vehicle_class performs the node, and 0 otherwise.</span></div><div class="line"><a name="l00776"></a><span class="lineno"> 776</span>  std::vector<absl::flat_hash_map<int, int>> vehicle_class_performs_node(</div><div class="line"><a name="l00777"></a><span class="lineno"> 777</span>  num_vehicle_classes);</div><div class="line"><a name="l00778"></a><span class="lineno"> 778</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> cp_node = 1; cp_node < num_cp_nodes; cp_node++) {</div><div class="line"><a name="l00779"></a><span class="lineno"> 779</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> node = cp_node - 1;</div><div class="line"><a name="l00780"></a><span class="lineno"> 780</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a> = 0; <a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a> < num_vehicle_classes;</div><div class="line"><a name="l00781"></a><span class="lineno"> 781</span>  <a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a>++) {</div><div class="line"><a name="l00782"></a><span class="lineno"> 782</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsStart(node) || <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsEnd(node)) {</div><div class="line"><a name="l00783"></a><span class="lineno"> 783</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> vehicle = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.VehicleIndex(node);</div><div class="line"><a name="l00784"></a><span class="lineno"> 784</span>  vehicle_class_performs_node[<a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a>][cp_node] =</div><div class="line"><a name="l00785"></a><span class="lineno"> 785</span>  <a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a> ==</div><div class="line"><a name="l00786"></a><span class="lineno"> 786</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetVehicleClassIndexOfVehicle(vehicle).value()</div><div class="line"><a name="l00787"></a><span class="lineno"> 787</span>  ? AddVariable(cp_model, 1, 1)</div><div class="line"><a name="l00788"></a><span class="lineno"> 788</span>  : AddVariable(cp_model, 0, 0);</div><div class="line"><a name="l00789"></a><span class="lineno"> 789</span>  <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00790"></a><span class="lineno"> 790</span>  }</div><div class="line"><a name="l00791"></a><span class="lineno"> 791</span>  vehicle_class_performs_node[<a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a>][cp_node] =</div><div class="line"><a name="l00792"></a><span class="lineno"> 792</span>  AddVariable(cp_model, 0, 1);</div><div class="line"><a name="l00793"></a><span class="lineno"> 793</span>  std::vector<std::pair<int, double>> var_coeffs;</div><div class="line"><a name="l00794"></a><span class="lineno"> 794</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> vehicle = 0; vehicle < <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles(); vehicle++) {</div><div class="line"><a name="l00795"></a><span class="lineno"> 795</span>  <span class="keywordflow">if</span> (<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetVehicleClassIndexOfVehicle(vehicle).value() ==</div><div class="line"><a name="l00796"></a><span class="lineno"> 796</span>  <a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a>) {</div><div class="line"><a name="l00797"></a><span class="lineno"> 797</span>  var_coeffs.push_back({vehicle_performs_node[vehicle][cp_node], 1});</div><div class="line"><a name="l00798"></a><span class="lineno"> 798</span>  <span class="comment">// vehicle_performs_node -> vehicle_class_performs_node</span></div><div class="line"><a name="l00799"></a><span class="lineno"> 799</span>  AddLinearConstraint(</div><div class="line"><a name="l00800"></a><span class="lineno"> 800</span>  cp_model, 1, 1,</div><div class="line"><a name="l00801"></a><span class="lineno"> 801</span>  {{vehicle_class_performs_node[<a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a>][cp_node], 1}},</div><div class="line"><a name="l00802"></a><span class="lineno"> 802</span>  {vehicle_performs_node[vehicle][cp_node]});</div><div class="line"><a name="l00803"></a><span class="lineno"> 803</span>  }</div><div class="line"><a name="l00804"></a><span class="lineno"> 804</span>  }</div><div class="line"><a name="l00805"></a><span class="lineno"> 805</span>  <span class="comment">// vehicle_class_performs_node -> exactly one vehicle from this class</span></div><div class="line"><a name="l00806"></a><span class="lineno"> 806</span>  <span class="comment">// performs node.</span></div><div class="line"><a name="l00807"></a><span class="lineno"> 807</span>  AddLinearConstraint(</div><div class="line"><a name="l00808"></a><span class="lineno"> 808</span>  cp_model, 1, 1, var_coeffs,</div><div class="line"><a name="l00809"></a><span class="lineno"> 809</span>  {vehicle_class_performs_node[<a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a>][cp_node]});</div><div class="line"><a name="l00810"></a><span class="lineno"> 810</span>  }</div><div class="line"><a name="l00811"></a><span class="lineno"> 811</span>  }</div><div class="line"><a name="l00812"></a><span class="lineno"> 812</span>  <span class="comment">// vehicle_class_performs_arc[vehicle_class][arc_var] equals to 1 if the</span></div><div class="line"><a name="l00813"></a><span class="lineno"> 813</span>  <span class="comment">// vehicle of vehicle_class performs the arc, and 0 otherwise.</span></div><div class="line"><a name="l00814"></a><span class="lineno"> 814</span>  std::vector<absl::flat_hash_map<int, int>> vehicle_class_performs_arc(</div><div class="line"><a name="l00815"></a><span class="lineno"> 815</span>  num_vehicle_classes);</div><div class="line"><a name="l00816"></a><span class="lineno"> 816</span>  <span class="comment">// Set "arc" costs.</span></div><div class="line"><a name="l00817"></a><span class="lineno"> 817</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> [arc, arc_var] : arc_vars) {</div><div class="line"><a name="l00818"></a><span class="lineno"> 818</span>  <span class="keyword">const</span> <span class="keyword">auto</span> [cp_tail, cp_head] = arc;</div><div class="line"><a name="l00819"></a><span class="lineno"> 819</span>  <span class="keywordflow">if</span> (cp_tail == depot || cp_head == depot) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00820"></a><span class="lineno"> 820</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> = cp_tail - 1;</div><div class="line"><a name="l00821"></a><span class="lineno"> 821</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> = cp_head - 1;</div><div class="line"><a name="l00822"></a><span class="lineno"> 822</span>  <span class="comment">// Costs for unperformed arcs have already been set.</span></div><div class="line"><a name="l00823"></a><span class="lineno"> 823</span>  <span class="keywordflow">if</span> (<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> == <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00824"></a><span class="lineno"> 824</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> vehicle = 0; vehicle < <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles(); vehicle++) {</div><div class="line"><a name="l00825"></a><span class="lineno"> 825</span>  <span class="comment">// The arc can't be performed by the vehicle when vehicle can't perform</span></div><div class="line"><a name="l00826"></a><span class="lineno"> 826</span>  <span class="comment">// arc nodes.</span></div><div class="line"><a name="l00827"></a><span class="lineno"> 827</span>  <span class="keywordflow">if</span> (!vehicle_performs_node[vehicle].contains(cp_tail) ||</div><div class="line"><a name="l00828"></a><span class="lineno"> 828</span>  !vehicle_performs_node[vehicle].contains(cp_head)) {</div><div class="line"><a name="l00829"></a><span class="lineno"> 829</span>  <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00830"></a><span class="lineno"> 830</span>  }</div><div class="line"><a name="l00831"></a><span class="lineno"> 831</span>  int64_t <a class="code" href="routing__flow_8cc.html#a75d7b5e4cab1e156cc7a2c5eba1e16f1">cost</a> = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetArcCostForVehicle(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>, <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>, vehicle);</div><div class="line"><a name="l00832"></a><span class="lineno"> 832</span>  <span class="comment">// Arcs with int64_t's max cost are infeasible.</span></div><div class="line"><a name="l00833"></a><span class="lineno"> 833</span>  <span class="keywordflow">if</span> (<a class="code" href="routing__flow_8cc.html#a75d7b5e4cab1e156cc7a2c5eba1e16f1">cost</a> == <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::numeric_limits<int64_t>::max</a>()) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00834"></a><span class="lineno"> 834</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a> =</div><div class="line"><a name="l00835"></a><span class="lineno"> 835</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetVehicleClassIndexOfVehicle(vehicle).value();</div><div class="line"><a name="l00836"></a><span class="lineno"> 836</span>  <span class="keywordflow">if</span> (!vehicle_class_performs_arc[<a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a>].contains(arc_var)) {</div><div class="line"><a name="l00837"></a><span class="lineno"> 837</span>  vehicle_class_performs_arc[<a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a>][arc_var] =</div><div class="line"><a name="l00838"></a><span class="lineno"> 838</span>  AddVariable(cp_model, 0, 1);</div><div class="line"><a name="l00839"></a><span class="lineno"> 839</span>  <span class="comment">// Create constraints to set vehicle_class_performs_arc.</span></div><div class="line"><a name="l00840"></a><span class="lineno"> 840</span>  <span class="comment">// vehicle_class_performs_arc -></span></div><div class="line"><a name="l00841"></a><span class="lineno"> 841</span>  <span class="comment">// vehicle_class_performs_tail & vehicle_class_performs_head &</span></div><div class="line"><a name="l00842"></a><span class="lineno"> 842</span>  <span class="comment">// arc_is_performed</span></div><div class="line"><a name="l00843"></a><span class="lineno"> 843</span>  ConstraintProto* <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a> = cp_model->add_constraints();</div><div class="line"><a name="l00844"></a><span class="lineno"> 844</span>  <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>->add_enforcement_literal(</div><div class="line"><a name="l00845"></a><span class="lineno"> 845</span>  vehicle_class_performs_arc[<a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a>][arc_var]);</div><div class="line"><a name="l00846"></a><span class="lineno"> 846</span>  BoolArgumentProto* bool_and = <a class="code" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>->mutable_bool_and();</div><div class="line"><a name="l00847"></a><span class="lineno"> 847</span>  bool_and->add_literals(</div><div class="line"><a name="l00848"></a><span class="lineno"> 848</span>  vehicle_class_performs_node[<a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a>][cp_tail]);</div><div class="line"><a name="l00849"></a><span class="lineno"> 849</span>  bool_and->add_literals(</div><div class="line"><a name="l00850"></a><span class="lineno"> 850</span>  vehicle_class_performs_node[<a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a>][cp_head]);</div><div class="line"><a name="l00851"></a><span class="lineno"> 851</span>  bool_and->add_literals(arc_var);</div><div class="line"><a name="l00852"></a><span class="lineno"> 852</span>  <span class="comment">// Don't add arcs with zero cost to the objective.</span></div><div class="line"><a name="l00853"></a><span class="lineno"> 853</span>  <span class="keywordflow">if</span> (<a class="code" href="routing__flow_8cc.html#a75d7b5e4cab1e156cc7a2c5eba1e16f1">cost</a> != 0) {</div><div class="line"><a name="l00854"></a><span class="lineno"> 854</span>  cp_model->mutable_objective()->add_vars(</div><div class="line"><a name="l00855"></a><span class="lineno"> 855</span>  vehicle_class_performs_arc[<a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a>][arc_var]);</div><div class="line"><a name="l00856"></a><span class="lineno"> 856</span>  cp_model->mutable_objective()->add_coeffs(<a class="code" href="routing__flow_8cc.html#a75d7b5e4cab1e156cc7a2c5eba1e16f1">cost</a>);</div><div class="line"><a name="l00857"></a><span class="lineno"> 857</span>  }</div><div class="line"><a name="l00858"></a><span class="lineno"> 858</span>  }</div><div class="line"><a name="l00859"></a><span class="lineno"> 859</span>  <span class="comment">// (arc_is_performed & vehicle_performs_tail) -></span></div><div class="line"><a name="l00860"></a><span class="lineno"> 860</span>  <span class="comment">// (vehicle_class_performs_arc & vehicle_performs_head)</span></div><div class="line"><a name="l00861"></a><span class="lineno"> 861</span>  ConstraintProto* ct_arc_tail = cp_model->add_constraints();</div><div class="line"><a name="l00862"></a><span class="lineno"> 862</span>  ct_arc_tail->add_enforcement_literal(arc_var);</div><div class="line"><a name="l00863"></a><span class="lineno"> 863</span>  ct_arc_tail->add_enforcement_literal(</div><div class="line"><a name="l00864"></a><span class="lineno"> 864</span>  vehicle_performs_node[vehicle][cp_tail]);</div><div class="line"><a name="l00865"></a><span class="lineno"> 865</span>  ct_arc_tail->mutable_bool_and()->add_literals(</div><div class="line"><a name="l00866"></a><span class="lineno"> 866</span>  vehicle_class_performs_arc[<a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a>][arc_var]);</div><div class="line"><a name="l00867"></a><span class="lineno"> 867</span>  ct_arc_tail->mutable_bool_and()->add_literals(</div><div class="line"><a name="l00868"></a><span class="lineno"> 868</span>  vehicle_performs_node[vehicle][cp_head]);</div><div class="line"><a name="l00869"></a><span class="lineno"> 869</span>  <span class="comment">// (arc_is_performed & vehicle_performs_head) -></span></div><div class="line"><a name="l00870"></a><span class="lineno"> 870</span>  <span class="comment">// (vehicle_class_performs_arc & vehicle_performs_tail)</span></div><div class="line"><a name="l00871"></a><span class="lineno"> 871</span>  ConstraintProto* ct_arc_head = cp_model->add_constraints();</div><div class="line"><a name="l00872"></a><span class="lineno"> 872</span>  ct_arc_head->add_enforcement_literal(arc_var);</div><div class="line"><a name="l00873"></a><span class="lineno"> 873</span>  ct_arc_head->add_enforcement_literal(</div><div class="line"><a name="l00874"></a><span class="lineno"> 874</span>  vehicle_performs_node[vehicle][cp_head]);</div><div class="line"><a name="l00875"></a><span class="lineno"> 875</span>  ct_arc_head->mutable_bool_and()->add_literals(</div><div class="line"><a name="l00876"></a><span class="lineno"> 876</span>  vehicle_class_performs_arc[<a class="code" href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a>][arc_var]);</div><div class="line"><a name="l00877"></a><span class="lineno"> 877</span>  ct_arc_head->mutable_bool_and()->add_literals(</div><div class="line"><a name="l00878"></a><span class="lineno"> 878</span>  vehicle_performs_node[vehicle][cp_tail]);</div><div class="line"><a name="l00879"></a><span class="lineno"> 879</span>  }</div><div class="line"><a name="l00880"></a><span class="lineno"> 880</span>  }</div><div class="line"><a name="l00881"></a><span class="lineno"> 881</span> </div><div class="line"><a name="l00882"></a><span class="lineno"> 882</span>  AddGeneralizedPickupDeliveryConstraints(</div><div class="line"><a name="l00883"></a><span class="lineno"> 883</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, arc_vars, vehicle_performs_node, is_unperformed, cp_model);</div><div class="line"><a name="l00884"></a><span class="lineno"> 884</span> </div><div class="line"><a name="l00885"></a><span class="lineno"> 885</span>  AddGeneralizedDimensions(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, arc_vars, vehicle_performs_node,</div><div class="line"><a name="l00886"></a><span class="lineno"> 886</span>  vehicle_class_performs_arc, cp_model);</div><div class="line"><a name="l00887"></a><span class="lineno"> 887</span> </div><div class="line"><a name="l00888"></a><span class="lineno"> 888</span>  <span class="comment">// Create Routes constraint, ensuring circuits from and to the depot.</span></div><div class="line"><a name="l00889"></a><span class="lineno"> 889</span>  RoutesConstraintProto* routes_ct =</div><div class="line"><a name="l00890"></a><span class="lineno"> 890</span>  cp_model->add_constraints()->mutable_routes();</div><div class="line"><a name="l00891"></a><span class="lineno"> 891</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> [arc, arc_var] : arc_vars) {</div><div class="line"><a name="l00892"></a><span class="lineno"> 892</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> = arc.tail;</div><div class="line"><a name="l00893"></a><span class="lineno"> 893</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> = arc.head;</div><div class="line"><a name="l00894"></a><span class="lineno"> 894</span>  routes_ct->add_tails(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>);</div><div class="line"><a name="l00895"></a><span class="lineno"> 895</span>  routes_ct->add_heads(<a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>);</div><div class="line"><a name="l00896"></a><span class="lineno"> 896</span>  routes_ct->add_literals(arc_var);</div><div class="line"><a name="l00897"></a><span class="lineno"> 897</span>  }</div><div class="line"><a name="l00898"></a><span class="lineno"> 898</span> </div><div class="line"><a name="l00899"></a><span class="lineno"> 899</span>  <span class="comment">// Add demands and capacities to improve the LP relaxation and cuts. These</span></div><div class="line"><a name="l00900"></a><span class="lineno"> 900</span>  <span class="comment">// are based on the first "unary" dimension in the model if it exists.</span></div><div class="line"><a name="l00901"></a><span class="lineno"> 901</span>  <span class="comment">// TODO(user): We might want to try to get demand lower bounds from</span></div><div class="line"><a name="l00902"></a><span class="lineno"> 902</span>  <span class="comment">// non-unary dimensions if no unary exist.</span></div><div class="line"><a name="l00903"></a><span class="lineno"> 903</span>  <span class="keyword">const</span> RoutingDimension* master_dimension = <span class="keyword">nullptr</span>;</div><div class="line"><a name="l00904"></a><span class="lineno"> 904</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> RoutingDimension* dimension : <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.GetDimensions()) {</div><div class="line"><a name="l00905"></a><span class="lineno"> 905</span>  <span class="keywordtype">bool</span> is_unary = <span class="keyword">true</span>;</div><div class="line"><a name="l00906"></a><span class="lineno"> 906</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> vehicle = 0; vehicle < <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles(); vehicle++) {</div><div class="line"><a name="l00907"></a><span class="lineno"> 907</span>  <span class="keywordflow">if</span> (dimension->GetUnaryTransitEvaluator(vehicle) == <span class="keyword">nullptr</span>) {</div><div class="line"><a name="l00908"></a><span class="lineno"> 908</span>  is_unary = <span class="keyword">false</span>;</div><div class="line"><a name="l00909"></a><span class="lineno"> 909</span>  <span class="keywordflow">break</span>;</div><div class="line"><a name="l00910"></a><span class="lineno"> 910</span>  }</div><div class="line"><a name="l00911"></a><span class="lineno"> 911</span>  }</div><div class="line"><a name="l00912"></a><span class="lineno"> 912</span>  <span class="keywordflow">if</span> (is_unary) {</div><div class="line"><a name="l00913"></a><span class="lineno"> 913</span>  master_dimension = dimension;</div><div class="line"><a name="l00914"></a><span class="lineno"> 914</span>  <span class="keywordflow">break</span>;</div><div class="line"><a name="l00915"></a><span class="lineno"> 915</span>  }</div><div class="line"><a name="l00916"></a><span class="lineno"> 916</span>  }</div><div class="line"><a name="l00917"></a><span class="lineno"> 917</span>  <span class="keywordflow">if</span> (master_dimension != <span class="keyword">nullptr</span>) {</div><div class="line"><a name="l00918"></a><span class="lineno"> 918</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> cp_node = 0; cp_node < num_cp_nodes; ++cp_node) {</div><div class="line"><a name="l00919"></a><span class="lineno"> 919</span>  int64_t min_transit = <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::numeric_limits<int64_t>::max</a>();</div><div class="line"><a name="l00920"></a><span class="lineno"> 920</span>  <span class="keywordflow">if</span> (cp_node != 0 && !<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsEnd(cp_node - 1)) {</div><div class="line"><a name="l00921"></a><span class="lineno"> 921</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> vehicle = 0; vehicle < <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles(); vehicle++) {</div><div class="line"><a name="l00922"></a><span class="lineno"> 922</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1_routing_model.html#a204041e5264282d54dfd198011e776d3">RoutingModel::TransitCallback1</a>& transit =</div><div class="line"><a name="l00923"></a><span class="lineno"> 923</span>  master_dimension->GetUnaryTransitEvaluator(vehicle);</div><div class="line"><a name="l00924"></a><span class="lineno"> 924</span>  min_transit = <a class="code" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(min_transit, transit(cp_node - 1));</div><div class="line"><a name="l00925"></a><span class="lineno"> 925</span>  }</div><div class="line"><a name="l00926"></a><span class="lineno"> 926</span>  } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00927"></a><span class="lineno"> 927</span>  min_transit = 0;</div><div class="line"><a name="l00928"></a><span class="lineno"> 928</span>  }</div><div class="line"><a name="l00929"></a><span class="lineno"> 929</span>  routes_ct->add_demands(min_transit);</div><div class="line"><a name="l00930"></a><span class="lineno"> 930</span>  }</div><div class="line"><a name="l00931"></a><span class="lineno"> 931</span>  <a class="code" href="base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0">DCHECK_EQ</a>(routes_ct->demands_size(), num_cp_nodes);</div><div class="line"><a name="l00932"></a><span class="lineno"> 932</span>  int64_t max_capacity = <a class="code" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::numeric_limits<int64_t>::min</a>();</div><div class="line"><a name="l00933"></a><span class="lineno"> 933</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> vehicle = 0; vehicle < <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles(); vehicle++) {</div><div class="line"><a name="l00934"></a><span class="lineno"> 934</span>  max_capacity = <a class="code" href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">std::max</a>(max_capacity,</div><div class="line"><a name="l00935"></a><span class="lineno"> 935</span>  master_dimension->vehicle_capacities()[vehicle]);</div><div class="line"><a name="l00936"></a><span class="lineno"> 936</span>  }</div><div class="line"><a name="l00937"></a><span class="lineno"> 937</span>  routes_ct->set_capacity(max_capacity);</div><div class="line"><a name="l00938"></a><span class="lineno"> 938</span>  }</div><div class="line"><a name="l00939"></a><span class="lineno"> 939</span>  <span class="keywordflow">return</span> arc_vars;</div><div class="line"><a name="l00940"></a><span class="lineno"> 940</span> }</div><div class="line"><a name="l00941"></a><span class="lineno"> 941</span> </div><div class="line"><a name="l00942"></a><span class="lineno"> 942</span> <span class="comment">// Converts a CpSolverResponse to an Assignment containing next variables.</span></div><div class="line"><a name="l00943"></a><span class="lineno"> 943</span> <span class="keywordtype">bool</span> ConvertGeneralizedResponseToSolution(<span class="keyword">const</span> CpSolverResponse& <a class="code" href="cp__model__solver_8cc.html#abcd33b18ce6d5a90a4ba5c37cfa58829">response</a>,</div><div class="line"><a name="l00944"></a><span class="lineno"> 944</span>  <span class="keyword">const</span> RoutingModel& <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00945"></a><span class="lineno"> 945</span>  <span class="keyword">const</span> ArcVarMap& arc_vars,</div><div class="line"><a name="l00946"></a><span class="lineno"> 946</span>  Assignment* solution) {</div><div class="line"><a name="l00947"></a><span class="lineno"> 947</span>  <span class="keywordflow">if</span> (<a class="code" href="cp__model__solver_8cc.html#abcd33b18ce6d5a90a4ba5c37cfa58829">response</a>.status() != <a class="code" href="namespaceoperations__research.html#aa0787bf78fb09d1e30f2451b5a68d4b8af00c8dbdd6e1f11bdae06be94277d293">CpSolverStatus::OPTIMAL</a> &&</div><div class="line"><a name="l00948"></a><span class="lineno"> 948</span>  <a class="code" href="cp__model__solver_8cc.html#abcd33b18ce6d5a90a4ba5c37cfa58829">response</a>.status() != <a class="code" href="namespaceoperations__research_1_1packing_1_1vbp.html#a4604191fbd84a43686f44c25d7bd0161a03f919221217f95d21a593a7120165e1">CpSolverStatus::FEASIBLE</a>) {</div><div class="line"><a name="l00949"></a><span class="lineno"> 949</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l00950"></a><span class="lineno"> 950</span>  }</div><div class="line"><a name="l00951"></a><span class="lineno"> 951</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> depot = 0;</div><div class="line"><a name="l00952"></a><span class="lineno"> 952</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> [arc, arc_var] : arc_vars) {</div><div class="line"><a name="l00953"></a><span class="lineno"> 953</span>  <span class="keywordflow">if</span> (<a class="code" href="cp__model__solver_8cc.html#abcd33b18ce6d5a90a4ba5c37cfa58829">response</a>.solution(arc_var) == 0) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00954"></a><span class="lineno"> 954</span>  <span class="keyword">const</span> <span class="keyword">auto</span> [<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>, <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>] = arc;</div><div class="line"><a name="l00955"></a><span class="lineno"> 955</span>  <span class="keywordflow">if</span> (<a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> == depot || <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> == depot) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00956"></a><span class="lineno"> 956</span>  solution->Add(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.NextVar(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> - 1))->SetValue(<a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> - 1);</div><div class="line"><a name="l00957"></a><span class="lineno"> 957</span>  }</div><div class="line"><a name="l00958"></a><span class="lineno"> 958</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div><div class="line"><a name="l00959"></a><span class="lineno"> 959</span> }</div><div class="line"><a name="l00960"></a><span class="lineno"> 960</span> </div><div class="line"><a name="l00961"></a><span class="lineno"> 961</span> <span class="comment">// Uses CP solution as hint for CP-SAT.</span></div><div class="line"><a name="l00962"></a><span class="lineno"> 962</span> <span class="keywordtype">void</span> AddSolutionAsHintToGeneralizedModel(<span class="keyword">const</span> Assignment* solution,</div><div class="line"><a name="l00963"></a><span class="lineno"> 963</span>  <span class="keyword">const</span> RoutingModel& <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00964"></a><span class="lineno"> 964</span>  <span class="keyword">const</span> ArcVarMap& arc_vars,</div><div class="line"><a name="l00965"></a><span class="lineno"> 965</span>  CpModelProto* cp_model) {</div><div class="line"><a name="l00966"></a><span class="lineno"> 966</span>  <span class="keywordflow">if</span> (solution == <span class="keyword">nullptr</span>) <span class="keywordflow">return</span>;</div><div class="line"><a name="l00967"></a><span class="lineno"> 967</span>  PartialVariableAssignment* <span class="keyword">const</span> hint = cp_model->mutable_solution_hint();</div><div class="line"><a name="l00968"></a><span class="lineno"> 968</span>  hint->Clear();</div><div class="line"><a name="l00969"></a><span class="lineno"> 969</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_nodes = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Nexts().size();</div><div class="line"><a name="l00970"></a><span class="lineno"> 970</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> = 0; <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> < num_nodes; ++<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>) {</div><div class="line"><a name="l00971"></a><span class="lineno"> 971</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> cp_tail = <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> + 1;</div><div class="line"><a name="l00972"></a><span class="lineno"> 972</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> cp_head = solution->Value(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.NextVar(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>)) + 1;</div><div class="line"><a name="l00973"></a><span class="lineno"> 973</span>  <span class="keyword">const</span> <span class="keywordtype">int</span>* <span class="keyword">const</span> arc_var = <a class="code" href="namespacegtl.html#ab9e05694d7776f2eef357feca8b9d647">gtl::FindOrNull</a>(arc_vars, {cp_tail, cp_head});</div><div class="line"><a name="l00974"></a><span class="lineno"> 974</span>  <span class="comment">// Arcs with a cost of max int64_t are not added to the model (considered as</span></div><div class="line"><a name="l00975"></a><span class="lineno"> 975</span>  <span class="comment">// infeasible). In some rare cases CP solutions might contain such arcs in</span></div><div class="line"><a name="l00976"></a><span class="lineno"> 976</span>  <span class="comment">// which case they are skipped here and a partial solution is used as a</span></div><div class="line"><a name="l00977"></a><span class="lineno"> 977</span>  <span class="comment">// hint.</span></div><div class="line"><a name="l00978"></a><span class="lineno"> 978</span>  <span class="keywordflow">if</span> (arc_var == <span class="keyword">nullptr</span>) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00979"></a><span class="lineno"> 979</span>  hint->add_vars(*arc_var);</div><div class="line"><a name="l00980"></a><span class="lineno"> 980</span>  hint->add_values(1);</div><div class="line"><a name="l00981"></a><span class="lineno"> 981</span>  }</div><div class="line"><a name="l00982"></a><span class="lineno"> 982</span> }</div><div class="line"><a name="l00983"></a><span class="lineno"> 983</span> </div><div class="line"><a name="l00984"></a><span class="lineno"> 984</span> <span class="keywordtype">void</span> AddSolutionAsHintToModel(<span class="keyword">const</span> Assignment* solution,</div><div class="line"><a name="l00985"></a><span class="lineno"> 985</span>  <span class="keyword">const</span> RoutingModel& <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l00986"></a><span class="lineno"> 986</span>  <span class="keyword">const</span> ArcVarMap& arc_vars,</div><div class="line"><a name="l00987"></a><span class="lineno"> 987</span>  CpModelProto* cp_model) {</div><div class="line"><a name="l00988"></a><span class="lineno"> 988</span>  <span class="keywordflow">if</span> (solution == <span class="keyword">nullptr</span>) <span class="keywordflow">return</span>;</div><div class="line"><a name="l00989"></a><span class="lineno"> 989</span>  PartialVariableAssignment* <span class="keyword">const</span> hint = cp_model->mutable_solution_hint();</div><div class="line"><a name="l00990"></a><span class="lineno"> 990</span>  hint->Clear();</div><div class="line"><a name="l00991"></a><span class="lineno"> 991</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> depot = GetDepotFromModel(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div><div class="line"><a name="l00992"></a><span class="lineno"> 992</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> num_nodes = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Nexts().size();</div><div class="line"><a name="l00993"></a><span class="lineno"> 993</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> = 0; <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a> < num_nodes; ++<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>) {</div><div class="line"><a name="l00994"></a><span class="lineno"> 994</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> tail_index = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsStart(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>) ? depot : <a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>;</div><div class="line"><a name="l00995"></a><span class="lineno"> 995</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a> = solution->Value(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.NextVar(<a class="code" href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a>));</div><div class="line"><a name="l00996"></a><span class="lineno"> 996</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> head_index = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.IsEnd(<a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>) ? depot : <a class="code" href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a>;</div><div class="line"><a name="l00997"></a><span class="lineno"> 997</span>  <span class="keywordflow">if</span> (tail_index == depot && head_index == depot) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00998"></a><span class="lineno"> 998</span>  <span class="keyword">const</span> <span class="keywordtype">int</span>* <span class="keyword">const</span> var_index =</div><div class="line"><a name="l00999"></a><span class="lineno"> 999</span>  <a class="code" href="namespacegtl.html#ab9e05694d7776f2eef357feca8b9d647">gtl::FindOrNull</a>(arc_vars, {tail_index, head_index});</div><div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>  <span class="comment">// Arcs with a cost of kint64max are not added to the model (considered as</span></div><div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>  <span class="comment">// infeasible). In some rare cases CP solutions might contain such arcs in</span></div><div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>  <span class="comment">// which case they are skipped here and a partial solution is used as a</span></div><div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>  <span class="comment">// hint.</span></div><div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>  <span class="keywordflow">if</span> (var_index == <span class="keyword">nullptr</span>) <span class="keywordflow">continue</span>;</div><div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>  hint->add_vars(*var_index);</div><div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>  hint->add_values(1);</div><div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>  }</div><div class="line"><a name="l01008"></a><span class="lineno"> 1008</span> }</div><div class="line"><a name="l01009"></a><span class="lineno"> 1009</span> </div><div class="line"><a name="l01010"></a><span class="lineno"> 1010</span> <span class="comment">// Configures a CP-SAT solver and solves the given (routing) model using it.</span></div><div class="line"><a name="l01011"></a><span class="lineno"> 1011</span> <span class="comment">// Returns the response of the search.</span></div><div class="line"><a name="l01012"></a><span class="lineno"> 1012</span> CpSolverResponse SolveRoutingModel(</div><div class="line"><a name="l01013"></a><span class="lineno"> 1013</span>  <span class="keyword">const</span> CpModelProto& cp_model, absl::Duration remaining_time,</div><div class="line"><a name="l01014"></a><span class="lineno"> 1014</span>  <span class="keyword">const</span> RoutingSearchParameters& search_parameters,</div><div class="line"><a name="l01015"></a><span class="lineno"> 1015</span>  <span class="keyword">const</span> std::function<<span class="keywordtype">void</span>(<span class="keyword">const</span> CpSolverResponse& <a class="code" href="cp__model__solver_8cc.html#abcd33b18ce6d5a90a4ba5c37cfa58829">response</a>)>& observer) {</div><div class="line"><a name="l01016"></a><span class="lineno"> 1016</span>  <span class="comment">// Copying to set remaining time.</span></div><div class="line"><a name="l01017"></a><span class="lineno"> 1017</span>  SatParameters sat_parameters = search_parameters.sat_parameters();</div><div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>  <span class="keywordflow">if</span> (!sat_parameters.has_max_time_in_seconds()) {</div><div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>  sat_parameters.set_max_time_in_seconds(</div><div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>  absl::ToDoubleSeconds(remaining_time));</div><div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>  } <span class="keywordflow">else</span> {</div><div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>  sat_parameters.set_max_time_in_seconds(</div><div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>  <a class="code" href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">std::min</a>(absl::ToDoubleSeconds(remaining_time),</div><div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>  sat_parameters.max_time_in_seconds()));</div><div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>  }</div><div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>  Model <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>;</div><div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a1684fe34484d78336d3cdac55ec6de57">NewSatParameters</a>(sat_parameters));</div><div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>  <span class="keywordflow">if</span> (observer != <span class="keyword">nullptr</span>) {</div><div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Add(<a class="code" href="namespaceoperations__research_1_1sat.html#a47117e7eefc0bb9b66054a64988804e6">NewFeasibleSolutionObserver</a>(observer));</div><div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>  }</div><div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>  <span class="comment">// TODO(user): Add an option to dump the CP-SAT model or check if the</span></div><div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>  <span class="comment">// cp_model_dump_file flag in cp_model_solver.cc is good enough.</span></div><div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>  <span class="keywordflow">return</span> <a class="code" href="namespaceoperations__research_1_1sat.html#aa9299de04255b99318446500127d79e1">SolveCpModel</a>(cp_model, &<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>);</div><div class="line"><a name="l01034"></a><span class="lineno"> 1034</span> }</div><div class="line"><a name="l01035"></a><span class="lineno"> 1035</span> </div><div class="line"><a name="l01036"></a><span class="lineno"> 1036</span> <span class="comment">// Check if all the nodes are present in arcs. Otherwise, CP-SAT solver may</span></div><div class="line"><a name="l01037"></a><span class="lineno"> 1037</span> <span class="comment">// fail.</span></div><div class="line"><a name="l01038"></a><span class="lineno"> 1038</span> <span class="keywordtype">bool</span> IsFeasibleArcVarMap(<span class="keyword">const</span> ArcVarMap& arc_vars, <span class="keywordtype">int</span> max_node_index) {</div><div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>  Bitset64<> present_in_arcs(max_node_index + 1);</div><div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> [arc, _] : arc_vars) {</div><div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>  present_in_arcs.Set(arc.head);</div><div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>  present_in_arcs.Set(arc.tail);</div><div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>  }</div><div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i <= max_node_index; i++) {</div><div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>  <span class="keywordflow">if</span> (!present_in_arcs[i]) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>  }</div><div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div><div class="line"><a name="l01048"></a><span class="lineno"> 1048</span> }</div><div class="line"><a name="l01049"></a><span class="lineno"> 1049</span> </div><div class="line"><a name="l01050"></a><span class="lineno"> 1050</span> } <span class="comment">// namespace</span></div><div class="line"><a name="l01051"></a><span class="lineno"> 1051</span> } <span class="comment">// namespace sat</span></div><div class="line"><a name="l01052"></a><span class="lineno"> 1052</span> </div><div class="line"><a name="l01053"></a><span class="lineno"> 1053</span> <span class="comment">// Solves a RoutingModel using the CP-SAT solver. Returns false if no solution</span></div><div class="line"><a name="l01054"></a><span class="lineno"> 1054</span> <span class="comment">// was found.</span></div><div class="line"><a name="l01055"></a><span class="lineno"><a class="line" href="namespaceoperations__research.html#a082573f2b119f85031afcc6b9096b102"> 1055</a></span> <span class="keywordtype">bool</span> <a class="code" href="namespaceoperations__research.html#a082573f2b119f85031afcc6b9096b102">SolveModelWithSat</a>(<span class="keyword">const</span> <a class="code" href="classoperations__research_1_1_routing_model.html">RoutingModel</a>& <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>,</div><div class="line"><a name="l01056"></a><span class="lineno"> 1056</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1_routing_search_parameters.html">RoutingSearchParameters</a>& search_parameters,</div><div class="line"><a name="l01057"></a><span class="lineno"> 1057</span>  <span class="keyword">const</span> <a class="code" href="classoperations__research_1_1_assignment.html">Assignment</a>* initial_solution,</div><div class="line"><a name="l01058"></a><span class="lineno"> 1058</span>  <a class="code" href="classoperations__research_1_1_assignment.html">Assignment</a>* solution) {</div><div class="line"><a name="l01059"></a><span class="lineno"> 1059</span>  <a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html">sat::CpModelProto</a> cp_model;</div><div class="line"><a name="l01060"></a><span class="lineno"> 1060</span>  cp_model.<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#ad3badc7aa3d94e81e0126edbfa452fda">mutable_objective</a>()-><a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#af02334eb54337092e11b9a74312a4c25">set_scaling_factor</a>(</div><div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>  search_parameters.<a class="code" href="classoperations__research_1_1_routing_search_parameters.html#af057776db879acce0de166317a3653e8">log_cost_scaling_factor</a>());</div><div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>  cp_model.<a class="code" href="classoperations__research_1_1sat_1_1_cp_model_proto.html#ad3badc7aa3d94e81e0126edbfa452fda">mutable_objective</a>()-><a class="code" href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#ac7453c28e1da85ea4728b31419c0d6b7">set_offset</a>(search_parameters.<a class="code" href="classoperations__research_1_1_routing_search_parameters.html#ab05a9d73d2359454a9b34e699b975ba2">log_cost_offset</a>());</div><div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>  <span class="keywordflow">if</span> (search_parameters.<a class="code" href="classoperations__research_1_1_routing_search_parameters.html#a3689909dbaae7b1913e3659402a144ac">use_generalized_cp_sat</a>() == <a class="code" href="namespaceoperations__research.html#ab13458305fa2eb87238ff66066eecd5da7149f32738efcef1bf4db3d635d804b0">BOOL_TRUE</a>) {</div><div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>  <span class="keyword">const</span> sat::ArcVarMap arc_vars =</div><div class="line"><a name="l01065"></a><span class="lineno"> 1065</span>  sat::PopulateGeneralizedRouteModelFromRoutingModel(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, &cp_model);</div><div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> max_node_index = <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Nexts().size() + <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.vehicles();</div><div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>  <span class="keywordflow">if</span> (!sat::IsFeasibleArcVarMap(arc_vars, max_node_index)) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>  sat::AddSolutionAsHintToGeneralizedModel(initial_solution, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, arc_vars,</div><div class="line"><a name="l01069"></a><span class="lineno"> 1069</span>  &cp_model);</div><div class="line"><a name="l01070"></a><span class="lineno"> 1070</span>  <span class="keywordflow">return</span> sat::ConvertGeneralizedResponseToSolution(</div><div class="line"><a name="l01071"></a><span class="lineno"> 1071</span>  sat::SolveRoutingModel(cp_model, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.RemainingTime(),</div><div class="line"><a name="l01072"></a><span class="lineno"> 1072</span>  search_parameters, <span class="keyword">nullptr</span>),</div><div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, arc_vars, solution);</div><div class="line"><a name="l01074"></a><span class="lineno"> 1074</span>  }</div><div class="line"><a name="l01075"></a><span class="lineno"> 1075</span>  <span class="keywordflow">if</span> (!sat::RoutingModelCanBeSolvedBySat(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>)) <span class="keywordflow">return</span> <span class="keyword">false</span>;</div><div class="line"><a name="l01076"></a><span class="lineno"> 1076</span>  <span class="keyword">const</span> sat::ArcVarMap arc_vars =</div><div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>  sat::PopulateModelFromRoutingModel(<a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, &cp_model);</div><div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>  sat::AddSolutionAsHintToModel(initial_solution, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, arc_vars, &cp_model);</div><div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>  <span class="keywordflow">return</span> sat::ConvertToSolution(</div><div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>  sat::SolveRoutingModel(cp_model, <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.RemainingTime(), search_parameters,</div><div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>  <span class="keyword">nullptr</span>),</div><div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>  <a class="code" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, arc_vars, solution);</div><div class="line"><a name="l01083"></a><span class="lineno"> 1083</span> }</div><div class="line"><a name="l01084"></a><span class="lineno"> 1084</span> </div><div class="line"><a name="l01085"></a><span class="lineno"> 1085</span> } <span class="comment">// namespace operations_research</span></div><div class="ttc" id="classoperations__research_1_1_routing_model_html_a204041e5264282d54dfd198011e776d3"><div class="ttname"><a href="classoperations__research_1_1_routing_model.html#a204041e5264282d54dfd198011e776d3">operations_research::RoutingModel::TransitCallback1</a></div><div class="ttdeci">RoutingTransitCallback1 TransitCallback1</div><div class="ttdef"><b>Definition:</b> <a href="routing_8h_source.html#l00239">routing.h:239</a></div></div>
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<div class="ttc" id="routing__filters_8cc_html_a4f1e8002734902ae1c65ccc3fc30c98e"><div class="ttname"><a href="routing__filters_8cc.html#a4f1e8002734902ae1c65ccc3fc30c98e">bound</a></div><div class="ttdeci">int64_t bound</div><div class="ttdef"><b>Definition:</b> <a href="routing__filters_8cc_source.html#l00969">routing_filters.cc:969</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_objective_proto_html_ac7453c28e1da85ea4728b31419c0d6b7"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#ac7453c28e1da85ea4728b31419c0d6b7">operations_research::sat::CpObjectiveProto::set_offset</a></div><div class="ttdeci">void set_offset(double value)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l11330">cp_model.pb.h:11330</a></div></div>
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<div class="ttc" id="namespaceoperations__research_html_a4a43d435871f16c321861fa5de32df82"><div class="ttname"><a href="namespaceoperations__research.html#a4a43d435871f16c321861fa5de32df82">operations_research::CapSub</a></div><div class="ttdeci">int64_t CapSub(int64_t x, int64_t y)</div><div class="ttdef"><b>Definition:</b> <a href="saturated__arithmetic_8h_source.html#l00158">saturated_arithmetic.h:158</a></div></div>
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<div class="ttc" id="alldiff__cst_8cc_html_ad10edae0a852d72fb76afb1c77735045"><div class="ttname"><a href="alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045">min</a></div><div class="ttdeci">int64_t min</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00139">alldiff_cst.cc:139</a></div></div>
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<div class="ttc" id="cp__model__solver_8h_html"><div class="ttname"><a href="cp__model__solver_8h.html">cp_model_solver.h</a></div></div>
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<div class="ttc" id="namespaceoperations__research_1_1sat_html_a355a62f25cfadeccfb164ab9fb867c81"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a355a62f25cfadeccfb164ab9fb867c81">operations_research::sat::kMinIntegerValue</a></div><div class="ttdeci">constexpr IntegerValue kMinIntegerValue(-kMaxIntegerValue)</div></div>
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<div class="ttc" id="classoperations__research_1_1_routing_search_parameters_html_af057776db879acce0de166317a3653e8"><div class="ttname"><a href="classoperations__research_1_1_routing_search_parameters.html#af057776db879acce0de166317a3653e8">operations_research::RoutingSearchParameters::log_cost_scaling_factor</a></div><div class="ttdeci">double log_cost_scaling_factor() const</div><div class="ttdef"><b>Definition:</b> <a href="routing__parameters_8pb_8h_source.html#l03468">routing_parameters.pb.h:3468</a></div></div>
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<div class="ttc" id="constraint__solver_8h_html"><div class="ttname"><a href="constraint__solver_8h.html">constraint_solver.h</a></div></div>
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<div class="ttc" id="namespaceoperations__research_1_1math__opt_html_ab178aaedd4038bc74e549075b3b09a92"><div class="ttname"><a href="namespaceoperations__research_1_1math__opt.html#ab178aaedd4038bc74e549075b3b09a92">operations_research::math_opt::operator!=</a></div><div class="ttdeci">bool operator!=(const LinearConstraint &lhs, const LinearConstraint &rhs)</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_2cpp_2linear__constraint_8h_source.html#l00135">math_opt/cpp/linear_constraint.h:135</a></div></div>
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<div class="ttc" id="sat_2model_8h_html"><div class="ttname"><a href="sat_2model_8h.html">model.h</a></div></div>
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<div class="ttc" id="namespacegtl_html_a5c0d4dea208db4deaa285c06b78d8181"><div class="ttname"><a href="namespacegtl.html#a5c0d4dea208db4deaa285c06b78d8181">gtl::InsertOrDie</a></div><div class="ttdeci">void InsertOrDie(Collection *const collection, const typename Collection::value_type &value)</div><div class="ttdef"><b>Definition:</b> <a href="map__util_8h_source.html#l00154">map_util.h:154</a></div></div>
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<div class="ttc" id="classoperations__research_1_1_routing_search_parameters_html"><div class="ttname"><a href="classoperations__research_1_1_routing_search_parameters.html">operations_research::RoutingSearchParameters</a></div><div class="ttdef"><b>Definition:</b> <a href="routing__parameters_8pb_8h_source.html#l00767">routing_parameters.pb.h:767</a></div></div>
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<div class="ttc" id="gurobi__interface_8cc_html_a0728f23c9a47655d38e0bf1a2f200bcf"><div class="ttname"><a href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a></div><div class="ttdeci">GRBmodel * model</div><div class="ttdef"><b>Definition:</b> <a href="gurobi__interface_8cc_source.html#l00274">gurobi_interface.cc:274</a></div></div>
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<div class="ttc" id="optional__boolean_8pb_8h_html"><div class="ttname"><a href="optional__boolean_8pb_8h.html">optional_boolean.pb.h</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_model_proto_html_abef5f55c3278c137faca92b8e433f8ea"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_proto.html#abef5f55c3278c137faca92b8e433f8ea">operations_research::sat::CpModelProto::variables_size</a></div><div class="ttdeci">int variables_size() const</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l12225">cp_model.pb.h:12225</a></div></div>
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<div class="ttc" id="routing__sat_8cc_html_a20358970b1abaf992eb85e071e454653"><div class="ttname"><a href="routing__sat_8cc.html#a20358970b1abaf992eb85e071e454653">head</a></div><div class="ttdeci">int head</div><div class="ttdef"><b>Definition:</b> <a href="routing__sat_8cc_source.html#l00095">routing_sat.cc:95</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_model_proto_html_ad03d1e2f94c4ca4c8004ac5355e6504a"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_proto.html#ad03d1e2f94c4ca4c8004ac5355e6504a">operations_research::sat::CpModelProto::add_variables</a></div><div class="ttdeci">::operations_research::sat::IntegerVariableProto * add_variables()</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l12250">cp_model.pb.h:12250</a></div></div>
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<div class="ttc" id="namespaceoperations__research_1_1sat_html_a1227e67513602591fb959e35c9de66e8"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1227e67513602591fb959e35c9de66e8">operations_research::sat::kMaxIntegerValue</a></div><div class="ttdeci">constexpr IntegerValue kMaxIntegerValue(std::numeric_limits< IntegerValue::ValueType >::max() - 1)</div></div>
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<div class="ttc" id="namespaceoperations__research_1_1sat_html_a47117e7eefc0bb9b66054a64988804e6"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a47117e7eefc0bb9b66054a64988804e6">operations_research::sat::NewFeasibleSolutionObserver</a></div><div class="ttdeci">std::function< void(Model *)> NewFeasibleSolutionObserver(const std::function< void(const CpSolverResponse &response)> &observer)</div><div class="ttdoc">Creates a solution observer with the model with model.Add(NewFeasibleSolutionObserver([](response){....</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__solver_8h_source.html#l00089">cp_model_solver.h:89</a></div></div>
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<div class="ttc" id="namespaceoperations__research_html_ae161405d349af5d521fa0fd25c3b6f83"><div class="ttname"><a href="namespaceoperations__research.html#ae161405d349af5d521fa0fd25c3b6f83">operations_research::operator==</a></div><div class="ttdeci">LinearRange operator==(const LinearExpr &lhs, const LinearExpr &rhs)</div><div class="ttdef"><b>Definition:</b> <a href="linear__expr_8cc_source.html#l00180">linear_expr.cc:180</a></div></div>
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<div class="ttc" id="constraint__solver_2table_8cc_html_a9293e4d29cac928301645070dd307683"><div class="ttname"><a href="constraint__solver_2table_8cc.html#a9293e4d29cac928301645070dd307683">b</a></div><div class="ttdeci">int64_t b</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00047">constraint_solver/table.cc:47</a></div></div>
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<div class="ttc" id="integral__types_8h_html"><div class="ttname"><a href="integral__types_8h.html">integral_types.h</a></div></div>
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<div class="ttc" id="namespaceoperations__research_html_ab13458305fa2eb87238ff66066eecd5da7149f32738efcef1bf4db3d635d804b0"><div class="ttname"><a href="namespaceoperations__research.html#ab13458305fa2eb87238ff66066eecd5da7149f32738efcef1bf4db3d635d804b0">operations_research::BOOL_TRUE</a></div><div class="ttdef"><b>Definition:</b> <a href="optional__boolean_8pb_8h_source.html#l00062">optional_boolean.pb.h:62</a></div></div>
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<div class="ttc" id="alldiff__cst_8cc_html_a26e6db9bcc64b584051ecc28171ed11f"><div class="ttname"><a href="alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f">max</a></div><div class="ttdeci">int64_t max</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00140">alldiff_cst.cc:140</a></div></div>
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<div class="ttc" id="gscip__solver_8cc_html_a1ba5ca0f61f2fa13bd23bf0f89004f35"><div class="ttname"><a href="gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35">upper_bound</a></div><div class="ttdeci">double upper_bound</div><div class="ttdef"><b>Definition:</b> <a href="gscip__solver_8cc_source.html#l00126">gscip_solver.cc:126</a></div></div>
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<div class="ttc" id="map__util_8h_html"><div class="ttname"><a href="map__util_8h.html">map_util.h</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_constraint_proto_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_constraint_proto.html">operations_research::sat::ConstraintProto</a></div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l03772">cp_model.pb.h:3772</a></div></div>
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<div class="ttc" id="namespaceoperations__research_html_a111f44b9b9cf67a8e8d83794ac9f5291"><div class="ttname"><a href="namespaceoperations__research.html#a111f44b9b9cf67a8e8d83794ac9f5291">operations_research::CapAdd</a></div><div class="ttdeci">int64_t CapAdd(int64_t x, int64_t y)</div><div class="ttdef"><b>Definition:</b> <a href="saturated__arithmetic_8h_source.html#l00126">saturated_arithmetic.h:126</a></div></div>
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<div class="ttc" id="namespaceoperations__research_html_a082573f2b119f85031afcc6b9096b102"><div class="ttname"><a href="namespaceoperations__research.html#a082573f2b119f85031afcc6b9096b102">operations_research::SolveModelWithSat</a></div><div class="ttdeci">bool SolveModelWithSat(const RoutingModel &model, const RoutingSearchParameters &search_parameters, const Assignment *initial_solution, Assignment *solution)</div><div class="ttdoc">Attempts to solve the model using the cp-sat solver.</div><div class="ttdef"><b>Definition:</b> <a href="routing__sat_8cc_source.html#l01055">routing_sat.cc:1055</a></div></div>
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<div class="ttc" id="routing__types_8h_html"><div class="ttname"><a href="routing__types_8h.html">routing_types.h</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_model_proto_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_proto.html">operations_research::sat::CpModelProto</a></div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l06111">cp_model.pb.h:6111</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_linear_constraint_proto_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_proto.html">operations_research::sat::LinearConstraintProto</a></div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l01134">cp_model.pb.h:1134</a></div></div>
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<div class="ttc" id="base_2logging_8h_html_ae4db23f10f5d4aad6d735f5a74cd6f8c"><div class="ttname"><a href="base_2logging_8h.html#ae4db23f10f5d4aad6d735f5a74cd6f8c">CHECK_LE</a></div><div class="ttdeci">#define CHECK_LE(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00704">base/logging.h:704</a></div></div>
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<div class="ttc" id="gscip__solver_8cc_html_a1e2f9a2352c1d9a6cada9544898fceec"><div class="ttname"><a href="gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec">lower_bound</a></div><div class="ttdeci">double lower_bound</div><div class="ttdef"><b>Definition:</b> <a href="gscip__solver_8cc_source.html#l00125">gscip_solver.cc:125</a></div></div>
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<div class="ttc" id="alldiff__cst_8cc_html_a5c4f8c31d1c77116201f5c497e1e19f8"><div class="ttname"><a href="alldiff__cst_8cc.html#a5c4f8c31d1c77116201f5c497e1e19f8">max_rank</a></div><div class="ttdeci">int max_rank</div><div class="ttdef"><b>Definition:</b> <a href="alldiff__cst_8cc_source.html#l00142">alldiff_cst.cc:142</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_model_proto_html_ac01de597eeeff5521a8bf54568bf1373"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_proto.html#ac01de597eeeff5521a8bf54568bf1373">operations_research::sat::CpModelProto::add_constraints</a></div><div class="ttdeci">::operations_research::sat::ConstraintProto * add_constraints()</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l12290">cp_model.pb.h:12290</a></div></div>
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<div class="ttc" id="namespacegtl_html_aae28e97bd1fa93cb0032642550da7455"><div class="ttname"><a href="namespacegtl.html#aae28e97bd1fa93cb0032642550da7455">gtl::ContainsKey</a></div><div class="ttdeci">bool ContainsKey(const Collection &collection, const Key &key)</div><div class="ttdef"><b>Definition:</b> <a href="map__util_8h_source.html#l00200">map_util.h:200</a></div></div>
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<div class="ttc" id="namespaceoperations__research_1_1math__opt_html_ad1ca9c7e257cf39f0bad100661bc9550"><div class="ttname"><a href="namespaceoperations__research_1_1math__opt.html#ad1ca9c7e257cf39f0bad100661bc9550">operations_research::math_opt::AbslHashValue</a></div><div class="ttdeci">H AbslHashValue(H h, const LinearConstraint &linear_constraint)</div><div class="ttdef"><b>Definition:</b> <a href="math__opt_2cpp_2linear__constraint_8h_source.html#l00140">math_opt/cpp/linear_constraint.h:140</a></div></div>
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<div class="ttc" id="pack_8cc_html_a750b5d744c39a06bfb13e6eb010e35d0"><div class="ttname"><a href="pack_8cc.html#a750b5d744c39a06bfb13e6eb010e35d0">index</a></div><div class="ttdeci">int index</div><div class="ttdef"><b>Definition:</b> <a href="pack_8cc_source.html#l00509">pack.cc:509</a></div></div>
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<div class="ttc" id="classoperations__research_1_1_assignment_html"><div class="ttname"><a href="classoperations__research_1_1_assignment.html">operations_research::Assignment</a></div><div class="ttdoc">An Assignment is a variable -> domains mapping, used to report solutions to the user.</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_8h_source.html#l05081">constraint_solver.h:5081</a></div></div>
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<div class="ttc" id="routing_8h_html"><div class="ttname"><a href="routing_8h.html">routing.h</a></div></div>
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<div class="ttc" id="base_2logging_8h_html_aae2dc65d9ea248d54bf39daa986dd295"><div class="ttname"><a href="base_2logging_8h.html#aae2dc65d9ea248d54bf39daa986dd295">DCHECK_GE</a></div><div class="ttdeci">#define DCHECK_GE(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00894">base/logging.h:894</a></div></div>
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<div class="ttc" id="cp__model__solver_8cc_html_abcd33b18ce6d5a90a4ba5c37cfa58829"><div class="ttname"><a href="cp__model__solver_8cc.html#abcd33b18ce6d5a90a4ba5c37cfa58829">response</a></div><div class="ttdeci">SharedResponseManager * response</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__solver_8cc_source.html#l01953">cp_model_solver.cc:1953</a></div></div>
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<div class="ttc" id="saturated__arithmetic_8h_html"><div class="ttname"><a href="saturated__arithmetic_8h.html">saturated_arithmetic.h</a></div></div>
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<div class="ttc" id="routing__flow_8cc_html_a75d7b5e4cab1e156cc7a2c5eba1e16f1"><div class="ttname"><a href="routing__flow_8cc.html#a75d7b5e4cab1e156cc7a2c5eba1e16f1">cost</a></div><div class="ttdeci">int64_t cost</div><div class="ttdef"><b>Definition:</b> <a href="routing__flow_8cc_source.html#l00152">routing_flow.cc:152</a></div></div>
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<div class="ttc" id="sat__parameters_8pb_8h_html"><div class="ttname"><a href="sat__parameters_8pb_8h.html">sat_parameters.pb.h</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_integer_variable_proto_html"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_integer_variable_proto.html">operations_research::sat::IntegerVariableProto</a></div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l00272">cp_model.pb.h:272</a></div></div>
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<div class="ttc" id="base_2logging_8h_html"><div class="ttname"><a href="base_2logging_8h.html">logging.h</a></div></div>
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<div class="ttc" id="base_2logging_8h_html_ae17f8119c108cf3070bad3449c7e0006"><div class="ttname"><a href="base_2logging_8h.html#ae17f8119c108cf3070bad3449c7e0006">DCHECK</a></div><div class="ttdeci">#define DCHECK(condition)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00889">base/logging.h:889</a></div></div>
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<div class="ttc" id="classoperations__research_1_1_routing_search_parameters_html_ab05a9d73d2359454a9b34e699b975ba2"><div class="ttname"><a href="classoperations__research_1_1_routing_search_parameters.html#ab05a9d73d2359454a9b34e699b975ba2">operations_research::RoutingSearchParameters::log_cost_offset</a></div><div class="ttdeci">double log_cost_offset() const</div><div class="ttdef"><b>Definition:</b> <a href="routing__parameters_8pb_8h_source.html#l03488">routing_parameters.pb.h:3488</a></div></div>
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<div class="ttc" id="base_2logging_8h_html_ae89df3243bbb8341130c7b3f44145ea0"><div class="ttname"><a href="base_2logging_8h.html#ae89df3243bbb8341130c7b3f44145ea0">DCHECK_EQ</a></div><div class="ttdeci">#define DCHECK_EQ(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00890">base/logging.h:890</a></div></div>
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<div class="ttc" id="classoperations__research_1_1_routing_search_parameters_html_a3689909dbaae7b1913e3659402a144ac"><div class="ttname"><a href="classoperations__research_1_1_routing_search_parameters.html#a3689909dbaae7b1913e3659402a144ac">operations_research::RoutingSearchParameters::use_generalized_cp_sat</a></div><div class="ttdeci">::operations_research::OptionalBoolean use_generalized_cp_sat() const</div><div class="ttdef"><b>Definition:</b> <a href="routing__parameters_8pb_8h_source.html#l02960">routing_parameters.pb.h:2960</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_linear_constraint_proto_html_a4b9572c4b6c4b51f1e98efdcd69a7d0f"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_proto.html#a4b9572c4b6c4b51f1e98efdcd69a7d0f">operations_research::sat::LinearConstraintProto::add_coeffs</a></div><div class="ttdeci">void add_coeffs(int64_t value)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l07558">cp_model.pb.h:7558</a></div></div>
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<div class="ttc" id="namespaceoperations__research_html_a7deeae530369e107f9d91c1a189f451f"><div class="ttname"><a href="namespaceoperations__research.html#a7deeae530369e107f9d91c1a189f451f">operations_research::Arc</a></div><div class="ttdeci">std::pair< int64_t, int64_t > Arc</div><div class="ttdef"><b>Definition:</b> <a href="search_8cc_source.html#l03434">search.cc:3434</a></div></div>
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<div class="ttc" id="classoperations__research_1_1_routing_model_html_a5fa8aee5b0c67072dbbb03f1899ec60a"><div class="ttname"><a href="classoperations__research_1_1_routing_model.html#a5fa8aee5b0c67072dbbb03f1899ec60a">operations_research::RoutingModel::TransitCallback2</a></div><div class="ttdeci">RoutingTransitCallback2 TransitCallback2</div><div class="ttdef"><b>Definition:</b> <a href="routing_8h_source.html#l00240">routing.h:240</a></div></div>
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<div class="ttc" id="cp__model_8pb_8h_html"><div class="ttname"><a href="cp__model_8pb_8h.html">cp_model.pb.h</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_linear_constraint_proto_html_abd89087d68515434d861e10adb0f055e"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_proto.html#abd89087d68515434d861e10adb0f055e">operations_research::sat::LinearConstraintProto::add_domain</a></div><div class="ttdeci">void add_domain(int64_t value)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l07605">cp_model.pb.h:7605</a></div></div>
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<div class="ttc" id="namespaceoperations__research_html_aa0787bf78fb09d1e30f2451b5a68d4b8af00c8dbdd6e1f11bdae06be94277d293"><div class="ttname"><a href="namespaceoperations__research.html#aa0787bf78fb09d1e30f2451b5a68d4b8af00c8dbdd6e1f11bdae06be94277d293">operations_research::DimensionSchedulingStatus::OPTIMAL</a></div></div>
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<div class="ttc" id="classoperations__research_1_1_routing_model_html"><div class="ttname"><a href="classoperations__research_1_1_routing_model.html">operations_research::RoutingModel</a></div><div class="ttdef"><b>Definition:</b> <a href="routing_8h_source.html#l00210">routing.h:210</a></div></div>
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<div class="ttc" id="integer_8h_html"><div class="ttname"><a href="integer_8h.html">integer.h</a></div></div>
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<div class="ttc" id="namespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">Collection of objects used to extend the Constraint Solver library.</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_model_proto_html_ad3badc7aa3d94e81e0126edbfa452fda"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_model_proto.html#ad3badc7aa3d94e81e0126edbfa452fda">operations_research::sat::CpModelProto::mutable_objective</a></div><div class="ttdeci">::operations_research::sat::CpObjectiveProto * mutable_objective()</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l12366">cp_model.pb.h:12366</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_linear_constraint_proto_html_a52d17efda66accf5a25aab163625e0dc"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_linear_constraint_proto.html#a52d17efda66accf5a25aab163625e0dc">operations_research::sat::LinearConstraintProto::add_vars</a></div><div class="ttdeci">void add_vars(int32_t value)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l07511">cp_model.pb.h:7511</a></div></div>
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<div class="ttc" id="routing__search_8cc_html_a1a01a2753d74fedd87264d8bd34a12df"><div class="ttname"><a href="routing__search_8cc.html#a1a01a2753d74fedd87264d8bd34a12df">vehicle_class</a></div><div class="ttdeci">int vehicle_class</div><div class="ttdef"><b>Definition:</b> <a href="routing__search_8cc_source.html#l03688">routing_search.cc:3688</a></div></div>
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<div class="ttc" id="namespacegtl_html_ab9e05694d7776f2eef357feca8b9d647"><div class="ttname"><a href="namespacegtl.html#ab9e05694d7776f2eef357feca8b9d647">gtl::FindOrNull</a></div><div class="ttdeci">const Collection::value_type::second_type * FindOrNull(const Collection &collection, const typename Collection::value_type::first_type &key)</div><div class="ttdef"><b>Definition:</b> <a href="map__util_8h_source.html#l00060">map_util.h:60</a></div></div>
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<div class="ttc" id="classoperations__research_1_1sat_1_1_cp_objective_proto_html_af02334eb54337092e11b9a74312a4c25"><div class="ttname"><a href="classoperations__research_1_1sat_1_1_cp_objective_proto.html#af02334eb54337092e11b9a74312a4c25">operations_research::sat::CpObjectiveProto::set_scaling_factor</a></div><div class="ttdeci">void set_scaling_factor(double value)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8pb_8h_source.html#l11350">cp_model.pb.h:11350</a></div></div>
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<div class="ttc" id="namespaceoperations__research_1_1packing_1_1vbp_html_a4604191fbd84a43686f44c25d7bd0161a03f919221217f95d21a593a7120165e1"><div class="ttname"><a href="namespaceoperations__research_1_1packing_1_1vbp.html#a4604191fbd84a43686f44c25d7bd0161a03f919221217f95d21a593a7120165e1">operations_research::packing::vbp::FEASIBLE</a></div><div class="ttdef"><b>Definition:</b> <a href="vector__bin__packing_8pb_8h_source.html#l00088">vector_bin_packing.pb.h:88</a></div></div>
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<div class="ttc" id="namespaceoperations__research_1_1sat_html_a15ca399ada8a279dc92f693ede7e4004"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a15ca399ada8a279dc92f693ede7e4004">operations_research::sat::operator<<</a></div><div class="ttdeci">std::ostream & operator<<(std::ostream &os, const BoolVar &var)</div><div class="ttdef"><b>Definition:</b> <a href="cp__model_8cc_source.html#l00086">cp_model.cc:86</a></div></div>
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<div class="ttc" id="expr__array_8cc_html_a472a99923cbe11ae7b5a5d157d9ad465"><div class="ttname"><a href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a></div><div class="ttdeci">IntVar * var</div><div class="ttdef"><b>Definition:</b> <a href="expr__array_8cc_source.html#l01874">expr_array.cc:1874</a></div></div>
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<div class="ttc" id="routing__sat_8cc_html_aff39d864a6594bc5f4a5e365282e00fe"><div class="ttname"><a href="routing__sat_8cc.html#aff39d864a6594bc5f4a5e365282e00fe">tail</a></div><div class="ttdeci">int tail</div><div class="ttdef"><b>Definition:</b> <a href="routing__sat_8cc_source.html#l00094">routing_sat.cc:94</a></div></div>
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<div class="ttc" id="demon__profiler_8cc_html_ac072af30c4ffbc834bb4c681f6ecb514"><div class="ttname"><a href="demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514">value</a></div><div class="ttdeci">int64_t value</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00044">demon_profiler.cc:44</a></div></div>
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<div class="ttc" id="demon__profiler_8cc_html_a05da18ca9c7b657a4a6ea24e07c9b695"><div class="ttname"><a href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a></div><div class="ttdeci">const Constraint * ct</div><div class="ttdef"><b>Definition:</b> <a href="demon__profiler_8cc_source.html#l00043">demon_profiler.cc:43</a></div></div>
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<div class="ttc" id="namespaceoperations__research_1_1sat_html_a1684fe34484d78336d3cdac55ec6de57"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a1684fe34484d78336d3cdac55ec6de57">operations_research::sat::NewSatParameters</a></div><div class="ttdeci">std::function< SatParameters(Model *)> NewSatParameters(const std::string &params)</div><div class="ttdoc">Creates parameters for the solver, which you can add to the model with.</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__solver_8h_source.html#l00100">cp_model_solver.h:100</a></div></div>
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<div class="ttc" id="constraint__solver_2table_8cc_html_acb18315d548212835cd8ed4287e6c0b6"><div class="ttname"><a href="constraint__solver_2table_8cc.html#acb18315d548212835cd8ed4287e6c0b6">a</a></div><div class="ttdeci">int64_t a</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_2table_8cc_source.html#l00046">constraint_solver/table.cc:46</a></div></div>
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<div class="ttc" id="routing__parameters_8pb_8h_html"><div class="ttname"><a href="routing__parameters_8pb_8h.html">routing_parameters.pb.h</a></div></div>
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<div class="ttc" id="namespaceoperations__research_1_1sat_html_aa9299de04255b99318446500127d79e1"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#aa9299de04255b99318446500127d79e1">operations_research::sat::SolveCpModel</a></div><div class="ttdeci">CpSolverResponse SolveCpModel(const CpModelProto &model_proto, Model *model)</div><div class="ttdoc">Solves the given CpModelProto.</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__solver_8cc_source.html#l02900">cp_model_solver.cc:2900</a></div></div>
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