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ortools-clone/docs/cpp/arc__flow__solver_8cc_source.html
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<a href="arc__flow__solver_8cc.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright 2010-2021 Google LLC</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div>
<div class="line"><a id="l00003" 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 id="l00004" 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 id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">//</span></div>
<div class="line"><a id="l00006" 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 id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
<div class="line"><a id="l00008" 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 id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div>
<div class="line"><a id="l00010" 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 id="l00011" 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 id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment">// limitations under the License.</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include &quot;<a class="code" href="arc__flow__solver_8h.html">ortools/packing/arc_flow_solver.h</a>&quot;</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> </div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include &lt;string&gt;</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> </div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include &quot;absl/container/btree_map.h&quot;</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include &quot;absl/flags/flag.h&quot;</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include &quot;<a class="code" href="commandlineflags_8h.html">ortools/base/commandlineflags.h</a>&quot;</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include &quot;<a class="code" href="base_2file_8h.html">ortools/base/file.h</a>&quot;</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include &quot;<a class="code" href="timer_8h.html">ortools/base/timer.h</a>&quot;</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include &quot;<a class="code" href="arc__flow__builder_8h.html">ortools/packing/arc_flow_builder.h</a>&quot;</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include &quot;ortools/packing/vector_bin_packing.pb.h&quot;</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> </div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"><a class="line" href="arc__flow__solver_8cc.html#a6339fe56643271ddfa529e262e86ee12"> 26</a></span><a class="code hl_function" href="arc__flow__solver_8cc.html#a6339fe56643271ddfa529e262e86ee12">ABSL_FLAG</a>(std::string, arc_flow_dump_model, <span class="stringliteral">&quot;&quot;</span>,</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <span class="stringliteral">&quot;File to store the solver specific optimization proto.&quot;</span>);</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> </div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research.html">operations_research</a> {</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="keyword">namespace </span>packing {</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> </div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="keyword">namespace </span>{</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="keywordtype">double</span> ConvertVectorBinPackingProblem(<span class="keyword">const</span> vbp::VectorBinPackingProblem&amp; <a class="code hl_function" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>,</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> ArcFlowGraph* graph) {</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <a class="code hl_class" href="class_wall_timer.html">WallTimer</a> timer;</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> timer.<a class="code hl_function" href="class_wall_timer.html#a07aaf1227e4d645f15e0a964f54ef291">Start</a>();</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_items = <a class="code hl_function" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.item_size();</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_dims = <a class="code hl_function" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.resource_capacity_size();</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> </div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="comment">// Collect problem data.</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> std::vector&lt;std::vector&lt;int&gt;&gt; shapes(num_items);</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> std::vector&lt;int&gt; demands(num_items);</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> std::vector&lt;int&gt; capacities(num_dims);</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_items; ++i) {</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> shapes[i].assign(<a class="code hl_function" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.item(i).resource_usage().begin(),</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <a class="code hl_function" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.item(i).resource_usage().end());</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> demands[i] = <a class="code hl_function" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.item(i).num_copies();</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> }</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_dims; ++i) {</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> capacities[i] = <a class="code hl_function" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.resource_capacity(i);</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> }</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> </div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="comment">// Add extra dimensions to encode max_number_of_copies_per_bin.</span></div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_items; ++i) {</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keyword">const</span> <span class="keywordtype">int</span> max_copies = <a class="code hl_function" href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a>.item(i).max_number_of_copies_per_bin();</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordflow">if</span> (max_copies == 0 || max_copies &gt;= demands[i]) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> capacities.push_back(max_copies);</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; num_items; ++j) {</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> shapes[j].push_back(i == j);</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> }</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> }</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> </div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> *graph = <a class="code hl_function" href="namespaceoperations__research_1_1packing.html#a43c15c357e1f59a9ff10700a5ac7b63e">BuildArcFlowGraph</a>(capacities, shapes, demands);</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="keyword">const</span> <span class="keywordtype">double</span> arc_flow_time = timer.<a class="code hl_function" href="class_wall_timer.html#aec56fe080959ecebec3feaed9dafde84">Get</a>();</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> </div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <a class="code hl_define" href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a>(1) &lt;&lt; <span class="stringliteral">&quot;The arc-flow grah has &quot;</span> &lt;&lt; graph-&gt;nodes.size() &lt;&lt; <span class="stringliteral">&quot; nodes, and &quot;</span></div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> &lt;&lt; graph-&gt;arcs.size() &lt;&lt; <span class="stringliteral">&quot; arcs. It was created by exploring &quot;</span></div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> &lt;&lt; graph-&gt;num_dp_states</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> &lt;&lt; <span class="stringliteral">&quot; states in the dynamic programming phase in &quot;</span> &lt;&lt; arc_flow_time</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> &lt;&lt; <span class="stringliteral">&quot; s&quot;</span>;</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="keywordflow">return</span> arc_flow_time;</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span>}</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span>} <span class="comment">// namespace</span></div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> </div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"><a class="line" href="namespaceoperations__research_1_1packing.html#a36688ca99be485c512316b4d27ccd409"> 75</a></span>vbp::VectorBinPackingSolution <a class="code hl_function" href="namespaceoperations__research_1_1packing.html#a36688ca99be485c512316b4d27ccd409">SolveVectorBinPackingWithArcFlow</a>(</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keyword">const</span> vbp::VectorBinPackingProblem&amp; problem,</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <a class="code hl_enumeration" href="classoperations__research_1_1_m_p_solver.html#a76c87990aabadd148304b95332a60ff8">MPSolver::OptimizationProblemType</a> solver_type,</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keyword">const</span> std::string&amp; mip_params, <span class="keywordtype">double</span> <a class="code hl_variable" href="cp__model__solver_8cc.html#aec8af5c1be4e1b6d4330e1161028de21">time_limit</a>, <span class="keywordtype">int</span> num_threads,</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="keywordtype">int</span> max_bins) {</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <a class="code hl_struct" href="structoperations__research_1_1packing_1_1_arc_flow_graph.html">ArcFlowGraph</a> graph;</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keyword">const</span> <span class="keywordtype">double</span> arc_flow_time = ConvertVectorBinPackingProblem(problem, &amp;graph);</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> </div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keywordtype">int</span> max_num_bins = 0;</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keywordflow">if</span> (max_bins &gt; 0) {</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> max_num_bins = max_bins;</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; item : problem.item()) {</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> max_num_bins += item.num_copies();</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> }</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> }</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="keyword">const</span> <span class="keywordtype">int</span> num_types = problem.item_size();</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> std::vector&lt;std::vector&lt;MPVariable*&gt;&gt; incoming_vars(graph.<a class="code hl_variable" href="structoperations__research_1_1packing_1_1_arc_flow_graph.html#a405100e4926c5c9e6f758d909ce466d6">nodes</a>.size());</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> std::vector&lt;std::vector&lt;MPVariable*&gt;&gt; outgoing_vars(graph.<a class="code hl_variable" href="structoperations__research_1_1packing_1_1_arc_flow_graph.html#a405100e4926c5c9e6f758d909ce466d6">nodes</a>.size());</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> std::vector&lt;MPVariable*&gt; arc_to_var(graph.<a class="code hl_variable" href="structoperations__research_1_1packing_1_1_arc_flow_graph.html#ab3158b0035dffc988c5c8051c97fb37a">arcs</a>.size());</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> std::vector&lt;std::vector&lt;MPVariable*&gt;&gt; item_to_vars(num_types);</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> </div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <a class="code hl_class" href="classoperations__research_1_1_m_p_solver.html">MPSolver</a> solver(<span class="stringliteral">&quot;VectorBinPacking&quot;</span>, solver_type);</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <a class="code hl_define" href="base_2logging_8h.html#a9f96ed9f06763f0821fdbb4d29031d8d">CHECK_OK</a>(solver.<a class="code hl_function" href="classoperations__research_1_1_m_p_solver.html#a849bf49baad56df58c018e8ab09456fb">SetNumThreads</a>(num_threads));</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> </div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> v = 0; v &lt; graph.<a class="code hl_variable" href="structoperations__research_1_1packing_1_1_arc_flow_graph.html#ab3158b0035dffc988c5c8051c97fb37a">arcs</a>.size(); ++v) {</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1packing_1_1_arc_flow_graph_1_1_arc.html">ArcFlowGraph::Arc</a>&amp; <a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a> = graph.<a class="code hl_variable" href="structoperations__research_1_1packing_1_1_arc_flow_graph.html#ab3158b0035dffc988c5c8051c97fb37a">arcs</a>[v];</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <a class="code hl_class" href="classoperations__research_1_1_m_p_variable.html">MPVariable</a>* <span class="keyword">const</span> <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> =</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> solver.<a class="code hl_function" href="classoperations__research_1_1_m_p_solver.html#aca3c14720aba5677f473458f706903a7">MakeIntVar</a>(0, max_num_bins, absl::StrCat(<span class="stringliteral">&quot;a&quot;</span>, v));</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> incoming_vars[<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>.destination].push_back(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> outgoing_vars[<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>.source].push_back(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>.item_index != -1) {</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> item_to_vars[<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>.item_index].push_back(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>);</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> }</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> arc_to_var[v] = <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>;</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> }</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> </div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="comment">// Per item demand constraint.</span></div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; num_types; ++i) {</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <a class="code hl_class" href="classoperations__research_1_1_m_p_constraint.html">MPConstraint</a>* <span class="keyword">const</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a> = solver.<a class="code hl_function" href="classoperations__research_1_1_m_p_solver.html#a43d6ca2f978ca6f622a16117166ff69a">MakeRowConstraint</a>(</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> problem.item(i).num_copies(), problem.item(i).num_copies());</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="keywordflow">for</span> (<a class="code hl_class" href="classoperations__research_1_1_m_p_variable.html">MPVariable</a>* <span class="keyword">const</span> <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : item_to_vars[i]) {</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;SetCoefficient(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, 1.0);</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> }</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> }</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> </div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="comment">// Flow conservation.</span></div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> n = 1; n &lt; graph.<a class="code hl_variable" href="structoperations__research_1_1packing_1_1_arc_flow_graph.html#a405100e4926c5c9e6f758d909ce466d6">nodes</a>.size() - 1; ++n) { <span class="comment">// Ignore source and sink.</span></div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <a class="code hl_class" href="classoperations__research_1_1_m_p_constraint.html">MPConstraint</a>* <span class="keyword">const</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a> = solver.<a class="code hl_function" href="classoperations__research_1_1_m_p_solver.html#a43d6ca2f978ca6f622a16117166ff69a">MakeRowConstraint</a>(0.0, 0.0);</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="keywordflow">for</span> (<a class="code hl_class" href="classoperations__research_1_1_m_p_variable.html">MPVariable</a>* <span class="keyword">const</span> <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : incoming_vars[n]) {</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;SetCoefficient(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, 1.0);</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> }</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="keywordflow">for</span> (<a class="code hl_class" href="classoperations__research_1_1_m_p_variable.html">MPVariable</a>* <span class="keyword">const</span> <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : outgoing_vars[n]) {</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;SetCoefficient(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, -1.0);</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> }</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> }</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> </div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <a class="code hl_class" href="classoperations__research_1_1_m_p_variable.html">MPVariable</a>* <span class="keyword">const</span> obj_var = solver.<a class="code hl_function" href="classoperations__research_1_1_m_p_solver.html#aca3c14720aba5677f473458f706903a7">MakeIntVar</a>(0, max_num_bins, <span class="stringliteral">&quot;obj_var&quot;</span>);</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> { <span class="comment">// Source.</span></div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <a class="code hl_class" href="classoperations__research_1_1_m_p_constraint.html">MPConstraint</a>* <span class="keyword">const</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a> = solver.<a class="code hl_function" href="classoperations__research_1_1_m_p_solver.html#a43d6ca2f978ca6f622a16117166ff69a">MakeRowConstraint</a>(0.0, 0.0);</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="keywordflow">for</span> (<a class="code hl_class" href="classoperations__research_1_1_m_p_variable.html">MPVariable</a>* <span class="keyword">const</span> <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : outgoing_vars[<span class="comment">/*source*/</span> 0]) {</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;SetCoefficient(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, 1.0);</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> }</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;SetCoefficient(obj_var, -1.0);</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> }</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> </div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> { <span class="comment">// Sink.</span></div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <a class="code hl_class" href="classoperations__research_1_1_m_p_constraint.html">MPConstraint</a>* <span class="keyword">const</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a> = solver.<a class="code hl_function" href="classoperations__research_1_1_m_p_solver.html#a43d6ca2f978ca6f622a16117166ff69a">MakeRowConstraint</a>(0.0, 0.0);</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="keyword">const</span> <span class="keywordtype">int</span> sink_node = graph.<a class="code hl_variable" href="structoperations__research_1_1packing_1_1_arc_flow_graph.html#a405100e4926c5c9e6f758d909ce466d6">nodes</a>.size() - 1;</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="keywordflow">for</span> (<a class="code hl_class" href="classoperations__research_1_1_m_p_variable.html">MPVariable</a>* <span class="keyword">const</span> <a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a> : incoming_vars[sink_node]) {</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;SetCoefficient(<a class="code hl_variable" href="expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465">var</a>, 1.0);</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> }</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <a class="code hl_variable" href="demon__profiler_8cc.html#a05da18ca9c7b657a4a6ea24e07c9b695">ct</a>-&gt;SetCoefficient(obj_var, -1.0);</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> }</div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> </div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <a class="code hl_class" href="classoperations__research_1_1_m_p_objective.html">MPObjective</a>* <span class="keyword">const</span> objective = solver.<a class="code hl_function" href="classoperations__research_1_1_m_p_solver.html#aede63007883156c3cd3cc336096f0305">MutableObjective</a>();</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> objective-&gt;<a class="code hl_function" href="classoperations__research_1_1_m_p_objective.html#a2def997791a2a5119c3502aa68c34181">SetCoefficient</a>(obj_var, 1.0);</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> </div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <span class="keywordflow">if</span> (!absl::GetFlag(FLAGS_arc_flow_dump_model).empty()) {</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> MPModelProto output_model;</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> solver.<a class="code hl_function" href="classoperations__research_1_1_m_p_solver.html#a880227c1bbe5a1a2a21796a947804615">ExportModelToProto</a>(&amp;output_model);</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <a class="code hl_define" href="base_2logging_8h.html#a9f96ed9f06763f0821fdbb4d29031d8d">CHECK_OK</a>(<a class="code hl_function" href="namespacefile.html#a9af024752012188b3269e30b0d9021c4">file::SetTextProto</a>(absl::GetFlag(FLAGS_arc_flow_dump_model),</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> output_model, <a class="code hl_function" href="namespacefile.html#a1abdf766bb120d38e7a4dfa200972681">file::Defaults</a>()));</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> }</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> </div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> solver.<a class="code hl_function" href="classoperations__research_1_1_m_p_solver.html#ad79f6dc56d90d220de25c15f367b888f">EnableOutput</a>();</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> solver.<a class="code hl_function" href="classoperations__research_1_1_m_p_solver.html#a77083241e8bdb93b619c7b9feaf82dec">SetSolverSpecificParametersAsString</a>(mip_params);</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> solver.<a class="code hl_function" href="classoperations__research_1_1_m_p_solver.html#aff1d83614c47aa9934d4f9312e6056d4">SetTimeLimit</a>(absl::Seconds(<a class="code hl_variable" href="cp__model__solver_8cc.html#aec8af5c1be4e1b6d4330e1161028de21">time_limit</a>));</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <span class="keyword">const</span> <a class="code hl_enumeration" href="classoperations__research_1_1_m_p_solver.html#a573d479910e373f5d771d303e440587d">MPSolver::ResultStatus</a> result_status = solver.<a class="code hl_function" href="classoperations__research_1_1_m_p_solver.html#acede9075c58cb2f506c99a9fe6f20303">Solve</a>();</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> </div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> vbp::VectorBinPackingSolution solution;</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> solution.set_solve_time_in_seconds(solver.<a class="code hl_function" href="classoperations__research_1_1_m_p_solver.html#a6129ea627a9a40fc21ddc24914cc6958">wall_time</a>() / 1000.0);</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> solution.set_arc_flow_time_in_seconds(arc_flow_time);</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="comment">// Check that the problem has an optimal solution.</span></div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <span class="keywordflow">if</span> (result_status == <a class="code hl_enumvalue" href="classoperations__research_1_1_m_p_solver.html#a573d479910e373f5d771d303e440587da2579881e7c83261bc21bafb5a5c92cad">MPSolver::OPTIMAL</a>) {</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> solution.set_status(vbp::OPTIMAL);</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> solution.set_objective_value(objective-&gt;<a class="code hl_function" href="classoperations__research_1_1_m_p_objective.html#a8554e97d98d05016f16300cedf2be9f6">Value</a>());</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (result_status == <a class="code hl_enumvalue" href="classoperations__research_1_1_m_p_solver.html#a573d479910e373f5d771d303e440587da03f919221217f95d21a593a7120165e1">MPSolver::FEASIBLE</a>) {</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> solution.set_status(vbp::FEASIBLE);</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> solution.set_objective_value(objective-&gt;<a class="code hl_function" href="classoperations__research_1_1_m_p_objective.html#a8554e97d98d05016f16300cedf2be9f6">Value</a>());</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (result_status == <a class="code hl_enumvalue" href="classoperations__research_1_1_m_p_solver.html#a573d479910e373f5d771d303e440587da2884fa43446c0cbc9c7a9b74d41d7483">MPSolver::INFEASIBLE</a>) {</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> solution.set_status(vbp::INFEASIBLE);</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> }</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> </div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> <span class="keywordflow">if</span> (result_status == <a class="code hl_enumvalue" href="classoperations__research_1_1_m_p_solver.html#a573d479910e373f5d771d303e440587da2579881e7c83261bc21bafb5a5c92cad">MPSolver::OPTIMAL</a> ||</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> result_status == <a class="code hl_enumvalue" href="classoperations__research_1_1_m_p_solver.html#a573d479910e373f5d771d303e440587da03f919221217f95d21a593a7120165e1">MPSolver::FEASIBLE</a>) {</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="comment">// Create the arc flow graph with the flow quantity in each arc.</span></div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> <span class="keyword">struct </span>NextCountItem {</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="constraint__solver_8cc.html#a395f613555f398dd389670bb4c2a4599">next</a> = -1;</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="keywordtype">int</span> count = 0;</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> <span class="keywordtype">int</span> item = -1;</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> };</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> std::vector&lt;std::vector&lt;NextCountItem&gt;&gt; node_to_next_count_item(</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> graph.<a class="code hl_variable" href="structoperations__research_1_1packing_1_1_arc_flow_graph.html#a405100e4926c5c9e6f758d909ce466d6">nodes</a>.size());</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> v = 0; v &lt; graph.<a class="code hl_variable" href="structoperations__research_1_1packing_1_1_arc_flow_graph.html#ab3158b0035dffc988c5c8051c97fb37a">arcs</a>.size(); ++v) {</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="keyword">const</span> <span class="keywordtype">int</span> count =</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> <span class="keyword">static_cast&lt;</span><span class="keywordtype">int</span><span class="keyword">&gt;</span>(std::round(arc_to_var[v]-&gt;solution_value()));</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <span class="keywordflow">if</span> (count == 0) <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1packing_1_1_arc_flow_graph_1_1_arc.html">ArcFlowGraph::Arc</a>&amp; <a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a> = graph.<a class="code hl_variable" href="structoperations__research_1_1packing_1_1_arc_flow_graph.html#ab3158b0035dffc988c5c8051c97fb37a">arcs</a>[v];</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> node_to_next_count_item[<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>.source].push_back(</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> {<a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>.destination, count, <a class="code hl_variable" href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a>.item_index});</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> }</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> </div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="comment">// Unroll each possible path and rebuild bins.</span></div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="keyword">struct </span>NextItem {</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="constraint__solver_8cc.html#a395f613555f398dd389670bb4c2a4599">next</a> = -1;</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <span class="keywordtype">int</span> item = -1;</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> };</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="keyword">const</span> <span class="keyword">auto</span> pop_next_item = [&amp;node_to_next_count_item](<span class="keywordtype">int</span> node) {</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <a class="code hl_define" href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a>(!node_to_next_count_item[node].empty());</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="keyword">auto</span>&amp; [<a class="code hl_variable" href="constraint__solver_8cc.html#a395f613555f398dd389670bb4c2a4599">next</a>, count, item] = node_to_next_count_item[node].back();</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> <a class="code hl_define" href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a>(<a class="code hl_variable" href="constraint__solver_8cc.html#a395f613555f398dd389670bb4c2a4599">next</a>, -1);</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> <a class="code hl_define" href="base_2logging_8h.html#a7e03ec13560fa94a8fea569960d7efc6">CHECK_GT</a>(count, 0);</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> <span class="keywordflow">if</span> (--count == 0) {</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> node_to_next_count_item[node].pop_back();</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> }</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="keywordflow">return</span> NextItem({<a class="code hl_variable" href="constraint__solver_8cc.html#a395f613555f398dd389670bb4c2a4599">next</a>, item});</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> };</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> </div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <span class="keyword">const</span> <span class="keywordtype">int</span> start_node = 0;</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> <span class="keyword">const</span> <span class="keywordtype">int</span> end_node = graph.<a class="code hl_variable" href="structoperations__research_1_1packing_1_1_arc_flow_graph.html#a405100e4926c5c9e6f758d909ce466d6">nodes</a>.size() - 1;</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> <span class="keywordflow">while</span> (!node_to_next_count_item[start_node].empty()) {</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> absl::btree_map&lt;int, int&gt; item_count;</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="keywordtype">int</span> current = start_node;</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="keywordflow">while</span> (current != end_node) {</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> <span class="keyword">const</span> <span class="keyword">auto</span>&amp; [<a class="code hl_variable" href="constraint__solver_8cc.html#a395f613555f398dd389670bb4c2a4599">next</a>, item] = pop_next_item(current);</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> <span class="keywordflow">if</span> (item != -1) {</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> item_count[item]++;</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <a class="code hl_define" href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a>(<a class="code hl_variable" href="constraint__solver_8cc.html#a395f613555f398dd389670bb4c2a4599">next</a>, end_node);</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> }</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> current = <a class="code hl_variable" href="constraint__solver_8cc.html#a395f613555f398dd389670bb4c2a4599">next</a>;</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> }</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> vbp::VectorBinPackingOneBinInSolution* bin = solution.add_bins();</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>&amp; [item, count] : item_count) {</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> bin-&gt;add_item_indices(item);</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> bin-&gt;add_item_copies(count);</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> }</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> }</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> }</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> </div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> <span class="keywordflow">return</span> solution;</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span>}</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> </div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span>} <span class="comment">// namespace packing</span></div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span>} <span class="comment">// namespace operations_research</span></div>
<div class="ttc" id="aarc__flow__builder_8h_html"><div class="ttname"><a href="arc__flow__builder_8h.html">arc_flow_builder.h</a></div></div>
<div class="ttc" id="aarc__flow__solver_8cc_html_a6339fe56643271ddfa529e262e86ee12"><div class="ttname"><a href="arc__flow__solver_8cc.html#a6339fe56643271ddfa529e262e86ee12">ABSL_FLAG</a></div><div class="ttdeci">ABSL_FLAG(std::string, arc_flow_dump_model, &quot;&quot;, &quot;File to store the solver specific optimization proto.&quot;)</div></div>
<div class="ttc" id="aarc__flow__solver_8h_html"><div class="ttname"><a href="arc__flow__solver_8h.html">arc_flow_solver.h</a></div></div>
<div class="ttc" id="abase_2file_8h_html"><div class="ttname"><a href="base_2file_8h.html">file.h</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_a3e1cfef60e774a81f30eaddf26a3a274"><div class="ttname"><a href="base_2logging_8h.html#a3e1cfef60e774a81f30eaddf26a3a274">CHECK</a></div><div class="ttdeci">#define CHECK(condition)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00495">base/logging.h:495</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_a7c0ce053b28d53aa4eaf3eb7fb71663b"><div class="ttname"><a href="base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b">CHECK_EQ</a></div><div class="ttdeci">#define CHECK_EQ(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00703">base/logging.h:703</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_a7e03ec13560fa94a8fea569960d7efc6"><div class="ttname"><a href="base_2logging_8h.html#a7e03ec13560fa94a8fea569960d7efc6">CHECK_GT</a></div><div class="ttdeci">#define CHECK_GT(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00708">base/logging.h:708</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_a9f96ed9f06763f0821fdbb4d29031d8d"><div class="ttname"><a href="base_2logging_8h.html#a9f96ed9f06763f0821fdbb4d29031d8d">CHECK_OK</a></div><div class="ttdeci">#define CHECK_OK(x)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00044">base/logging.h:44</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_ab25e01a2942b821d66371fc68d53f2eb"><div class="ttname"><a href="base_2logging_8h.html#ab25e01a2942b821d66371fc68d53f2eb">CHECK_NE</a></div><div class="ttdeci">#define CHECK_NE(val1, val2)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00704">base/logging.h:704</a></div></div>
<div class="ttc" id="abase_2logging_8h_html_afcaa7cadd41741bb855c2ada1d2ef927"><div class="ttname"><a href="base_2logging_8h.html#afcaa7cadd41741bb855c2ada1d2ef927">VLOG</a></div><div class="ttdeci">#define VLOG(verboselevel)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00984">base/logging.h:984</a></div></div>
<div class="ttc" id="aclass_wall_timer_html"><div class="ttname"><a href="class_wall_timer.html">WallTimer</a></div><div class="ttdef"><b>Definition:</b> <a href="timer_8h_source.html#l00023">timer.h:23</a></div></div>
<div class="ttc" id="aclass_wall_timer_html_a07aaf1227e4d645f15e0a964f54ef291"><div class="ttname"><a href="class_wall_timer.html#a07aaf1227e4d645f15e0a964f54ef291">WallTimer::Start</a></div><div class="ttdeci">void Start()</div><div class="ttdef"><b>Definition:</b> <a href="timer_8h_source.html#l00031">timer.h:31</a></div></div>
<div class="ttc" id="aclass_wall_timer_html_aec56fe080959ecebec3feaed9dafde84"><div class="ttname"><a href="class_wall_timer.html#aec56fe080959ecebec3feaed9dafde84">WallTimer::Get</a></div><div class="ttdeci">double Get() const</div><div class="ttdef"><b>Definition:</b> <a href="timer_8h_source.html#l00045">timer.h:45</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_m_p_constraint_html"><div class="ttname"><a href="classoperations__research_1_1_m_p_constraint.html">operations_research::MPConstraint</a></div><div class="ttdoc">The class for constraints of a Mathematical Programming (MP) model.</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8h_source.html#l01219">linear_solver.h:1219</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_m_p_objective_html"><div class="ttname"><a href="classoperations__research_1_1_m_p_objective.html">operations_research::MPObjective</a></div><div class="ttdoc">A class to express a linear objective.</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8h_source.html#l00965">linear_solver.h:965</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_m_p_objective_html_a2def997791a2a5119c3502aa68c34181"><div class="ttname"><a href="classoperations__research_1_1_m_p_objective.html#a2def997791a2a5119c3502aa68c34181">operations_research::MPObjective::SetCoefficient</a></div><div class="ttdeci">void SetCoefficient(const MPVariable *const var, double coeff)</div><div class="ttdoc">Sets the coefficient of the variable in the objective.</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8cc_source.html#l00184">linear_solver.cc:184</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_m_p_objective_html_a8554e97d98d05016f16300cedf2be9f6"><div class="ttname"><a href="classoperations__research_1_1_m_p_objective.html#a8554e97d98d05016f16300cedf2be9f6">operations_research::MPObjective::Value</a></div><div class="ttdeci">double Value() const</div><div class="ttdoc">Returns the objective value of the best solution found so far.</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8cc_source.html#l00256">linear_solver.cc:256</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_m_p_solver_html"><div class="ttname"><a href="classoperations__research_1_1_m_p_solver.html">operations_research::MPSolver</a></div><div class="ttdoc">This mathematical programming (MP) solver class is the main class though which users build and solve ...</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8h_source.html#l00182">linear_solver.h:182</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_m_p_solver_html_a43d6ca2f978ca6f622a16117166ff69a"><div class="ttname"><a href="classoperations__research_1_1_m_p_solver.html#a43d6ca2f978ca6f622a16117166ff69a">operations_research::MPSolver::MakeRowConstraint</a></div><div class="ttdeci">MPConstraint * MakeRowConstraint(double lb, double ub)</div><div class="ttdoc">Creates a linear constraint with given bounds.</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8cc_source.html#l01318">linear_solver.cc:1318</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_m_p_solver_html_a573d479910e373f5d771d303e440587d"><div class="ttname"><a href="classoperations__research_1_1_m_p_solver.html#a573d479910e373f5d771d303e440587d">operations_research::MPSolver::ResultStatus</a></div><div class="ttdeci">ResultStatus</div><div class="ttdoc">The status of solving the problem.</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8h_source.html#l00442">linear_solver.h:442</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_m_p_solver_html_a573d479910e373f5d771d303e440587da03f919221217f95d21a593a7120165e1"><div class="ttname"><a href="classoperations__research_1_1_m_p_solver.html#a573d479910e373f5d771d303e440587da03f919221217f95d21a593a7120165e1">operations_research::MPSolver::FEASIBLE</a></div><div class="ttdeci">@ FEASIBLE</div><div class="ttdoc">feasible, or stopped by limit.</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8h_source.html#l00446">linear_solver.h:446</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_m_p_solver_html_a573d479910e373f5d771d303e440587da2579881e7c83261bc21bafb5a5c92cad"><div class="ttname"><a href="classoperations__research_1_1_m_p_solver.html#a573d479910e373f5d771d303e440587da2579881e7c83261bc21bafb5a5c92cad">operations_research::MPSolver::OPTIMAL</a></div><div class="ttdeci">@ OPTIMAL</div><div class="ttdoc">optimal.</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8h_source.html#l00444">linear_solver.h:444</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_m_p_solver_html_a573d479910e373f5d771d303e440587da2884fa43446c0cbc9c7a9b74d41d7483"><div class="ttname"><a href="classoperations__research_1_1_m_p_solver.html#a573d479910e373f5d771d303e440587da2884fa43446c0cbc9c7a9b74d41d7483">operations_research::MPSolver::INFEASIBLE</a></div><div class="ttdeci">@ INFEASIBLE</div><div class="ttdoc">proven infeasible.</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8h_source.html#l00448">linear_solver.h:448</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_m_p_solver_html_a6129ea627a9a40fc21ddc24914cc6958"><div class="ttname"><a href="classoperations__research_1_1_m_p_solver.html#a6129ea627a9a40fc21ddc24914cc6958">operations_research::MPSolver::wall_time</a></div><div class="ttdeci">int64_t wall_time() const</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8h_source.html#l00835">linear_solver.h:835</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_m_p_solver_html_a76c87990aabadd148304b95332a60ff8"><div class="ttname"><a href="classoperations__research_1_1_m_p_solver.html#a76c87990aabadd148304b95332a60ff8">operations_research::MPSolver::OptimizationProblemType</a></div><div class="ttdeci">OptimizationProblemType</div><div class="ttdoc">The type of problems (LP or MIP) that will be solved and the underlying solver (GLOP,...</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8h_source.html#l00190">linear_solver.h:190</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_m_p_solver_html_a77083241e8bdb93b619c7b9feaf82dec"><div class="ttname"><a href="classoperations__research_1_1_m_p_solver.html#a77083241e8bdb93b619c7b9feaf82dec">operations_research::MPSolver::SetSolverSpecificParametersAsString</a></div><div class="ttdeci">bool SetSolverSpecificParametersAsString(const std::string &amp;parameters)</div><div class="ttdoc">Advanced usage: pass solver specific parameters in text format.</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8cc_source.html#l00353">linear_solver.cc:353</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_m_p_solver_html_a849bf49baad56df58c018e8ab09456fb"><div class="ttname"><a href="classoperations__research_1_1_m_p_solver.html#a849bf49baad56df58c018e8ab09456fb">operations_research::MPSolver::SetNumThreads</a></div><div class="ttdeci">absl::Status SetNumThreads(int num_threads)</div><div class="ttdoc">Sets the number of threads to use by the underlying solver.</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8cc_source.html#l00342">linear_solver.cc:342</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_m_p_solver_html_a880227c1bbe5a1a2a21796a947804615"><div class="ttname"><a href="classoperations__research_1_1_m_p_solver.html#a880227c1bbe5a1a2a21796a947804615">operations_research::MPSolver::ExportModelToProto</a></div><div class="ttdeci">void ExportModelToProto(MPModelProto *output_model) const</div><div class="ttdoc">Exports model to protocol buffer.</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8cc_source.html#l01048">linear_solver.cc:1048</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_m_p_solver_html_aca3c14720aba5677f473458f706903a7"><div class="ttname"><a href="classoperations__research_1_1_m_p_solver.html#aca3c14720aba5677f473458f706903a7">operations_research::MPSolver::MakeIntVar</a></div><div class="ttdeci">MPVariable * MakeIntVar(double lb, double ub, const std::string &amp;name)</div><div class="ttdoc">Creates an integer variable.</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8cc_source.html#l01275">linear_solver.cc:1275</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_m_p_solver_html_acede9075c58cb2f506c99a9fe6f20303"><div class="ttname"><a href="classoperations__research_1_1_m_p_solver.html#acede9075c58cb2f506c99a9fe6f20303">operations_research::MPSolver::Solve</a></div><div class="ttdeci">ResultStatus Solve()</div><div class="ttdoc">Solves the problem using the default parameter values.</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8cc_source.html#l01395">linear_solver.cc:1395</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_m_p_solver_html_ad79f6dc56d90d220de25c15f367b888f"><div class="ttname"><a href="classoperations__research_1_1_m_p_solver.html#ad79f6dc56d90d220de25c15f367b888f">operations_research::MPSolver::EnableOutput</a></div><div class="ttdeci">void EnableOutput()</div><div class="ttdoc">Enables solver logging.</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8cc_source.html#l01672">linear_solver.cc:1672</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_m_p_solver_html_aede63007883156c3cd3cc336096f0305"><div class="ttname"><a href="classoperations__research_1_1_m_p_solver.html#aede63007883156c3cd3cc336096f0305">operations_research::MPSolver::MutableObjective</a></div><div class="ttdeci">MPObjective * MutableObjective()</div><div class="ttdoc">Returns the mutable objective object.</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8h_source.html#l00434">linear_solver.h:434</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_m_p_solver_html_aff1d83614c47aa9934d4f9312e6056d4"><div class="ttname"><a href="classoperations__research_1_1_m_p_solver.html#aff1d83614c47aa9934d4f9312e6056d4">operations_research::MPSolver::SetTimeLimit</a></div><div class="ttdeci">void SetTimeLimit(absl::Duration time_limit)</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8h_source.html#l00724">linear_solver.h:724</a></div></div>
<div class="ttc" id="aclassoperations__research_1_1_m_p_variable_html"><div class="ttname"><a href="classoperations__research_1_1_m_p_variable.html">operations_research::MPVariable</a></div><div class="ttdoc">The class for variables of a Mathematical Programming (MP) model.</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_8h_source.html#l01093">linear_solver.h:1093</a></div></div>
<div class="ttc" id="acommandlineflags_8h_html"><div class="ttname"><a href="commandlineflags_8h.html">commandlineflags.h</a></div></div>
<div class="ttc" id="aconstraint__solver_8cc_html_a395f613555f398dd389670bb4c2a4599"><div class="ttname"><a href="constraint__solver_8cc.html#a395f613555f398dd389670bb4c2a4599">next</a></div><div class="ttdeci">Block * next</div><div class="ttdef"><b>Definition:</b> <a href="constraint__solver_8cc_source.html#l00678">constraint_solver.cc:678</a></div></div>
<div class="ttc" id="acp__model__solver_8cc_html_aec8af5c1be4e1b6d4330e1161028de21"><div class="ttname"><a href="cp__model__solver_8cc.html#aec8af5c1be4e1b6d4330e1161028de21">time_limit</a></div><div class="ttdeci">ModelSharedTimeLimit * time_limit</div><div class="ttdef"><b>Definition:</b> <a href="cp__model__solver_8cc_source.html#l02050">cp_model_solver.cc:2050</a></div></div>
<div class="ttc" id="ademon__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>
<div class="ttc" id="aexpr__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>
<div class="ttc" id="alocal__search_8cc_html_a30b5726116ac85ea64777e5d6e333894"><div class="ttname"><a href="local__search_8cc.html#a30b5726116ac85ea64777e5d6e333894">arc</a></div><div class="ttdeci">int arc</div><div class="ttdef"><b>Definition:</b> <a href="local__search_8cc_source.html#l02751">local_search.cc:2751</a></div></div>
<div class="ttc" id="anamespacefile_html_a1abdf766bb120d38e7a4dfa200972681"><div class="ttname"><a href="namespacefile.html#a1abdf766bb120d38e7a4dfa200972681">file::Defaults</a></div><div class="ttdeci">int Defaults()</div><div class="ttdef"><b>Definition:</b> <a href="base_2file_8h_source.html#l00120">base/file.h:120</a></div></div>
<div class="ttc" id="anamespacefile_html_a9af024752012188b3269e30b0d9021c4"><div class="ttname"><a href="namespacefile.html#a9af024752012188b3269e30b0d9021c4">file::SetTextProto</a></div><div class="ttdeci">absl::Status SetTextProto(const absl::string_view &amp;filename, const google::protobuf::Message &amp;proto, int flags)</div><div class="ttdef"><b>Definition:</b> <a href="base_2file_8cc_source.html#l00285">base/file.cc:285</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1packing_html_a36688ca99be485c512316b4d27ccd409"><div class="ttname"><a href="namespaceoperations__research_1_1packing.html#a36688ca99be485c512316b4d27ccd409">operations_research::packing::SolveVectorBinPackingWithArcFlow</a></div><div class="ttdeci">vbp::VectorBinPackingSolution SolveVectorBinPackingWithArcFlow(const vbp::VectorBinPackingProblem &amp;problem, MPSolver::OptimizationProblemType solver_type, const std::string &amp;mip_params, double time_limit, int num_threads, int max_bins)</div><div class="ttdef"><b>Definition:</b> <a href="arc__flow__solver_8cc_source.html#l00075">arc_flow_solver.cc:75</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1packing_html_a43c15c357e1f59a9ff10700a5ac7b63e"><div class="ttname"><a href="namespaceoperations__research_1_1packing.html#a43c15c357e1f59a9ff10700a5ac7b63e">operations_research::packing::BuildArcFlowGraph</a></div><div class="ttdeci">ArcFlowGraph BuildArcFlowGraph(const std::vector&lt; int &gt; &amp;bin_dimensions, const std::vector&lt; std::vector&lt; int &gt; &gt; &amp;item_dimensions_by_type, const std::vector&lt; int &gt; &amp;demand_by_type)</div><div class="ttdef"><b>Definition:</b> <a href="arc__flow__builder_8cc_source.html#l00399">arc_flow_builder.cc:399</a></div></div>
<div class="ttc" id="anamespaceoperations__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>
<div class="ttc" id="aparser_8yy_8cc_html_a5a634cf4429798b1c921a81de8250051"><div class="ttname"><a href="parser_8yy_8cc.html#a5a634cf4429798b1c921a81de8250051">input</a></div><div class="ttdeci">static int input(yyscan_t yyscanner)</div></div>
<div class="ttc" id="astructoperations__research_1_1packing_1_1_arc_flow_graph_1_1_arc_html"><div class="ttname"><a href="structoperations__research_1_1packing_1_1_arc_flow_graph_1_1_arc.html">operations_research::packing::ArcFlowGraph::Arc</a></div><div class="ttdef"><b>Definition:</b> <a href="arc__flow__builder_8h_source.html#l00057">arc_flow_builder.h:57</a></div></div>
<div class="ttc" id="astructoperations__research_1_1packing_1_1_arc_flow_graph_html"><div class="ttname"><a href="structoperations__research_1_1packing_1_1_arc_flow_graph.html">operations_research::packing::ArcFlowGraph</a></div><div class="ttdef"><b>Definition:</b> <a href="arc__flow__builder_8h_source.html#l00056">arc_flow_builder.h:56</a></div></div>
<div class="ttc" id="astructoperations__research_1_1packing_1_1_arc_flow_graph_html_a405100e4926c5c9e6f758d909ce466d6"><div class="ttname"><a href="structoperations__research_1_1packing_1_1_arc_flow_graph.html#a405100e4926c5c9e6f758d909ce466d6">operations_research::packing::ArcFlowGraph::nodes</a></div><div class="ttdeci">std::vector&lt; std::vector&lt; int &gt; &gt; nodes</div><div class="ttdef"><b>Definition:</b> <a href="arc__flow__builder_8h_source.html#l00072">arc_flow_builder.h:72</a></div></div>
<div class="ttc" id="astructoperations__research_1_1packing_1_1_arc_flow_graph_html_ab3158b0035dffc988c5c8051c97fb37a"><div class="ttname"><a href="structoperations__research_1_1packing_1_1_arc_flow_graph.html#ab3158b0035dffc988c5c8051c97fb37a">operations_research::packing::ArcFlowGraph::arcs</a></div><div class="ttdeci">std::vector&lt; Arc &gt; arcs</div><div class="ttdef"><b>Definition:</b> <a href="arc__flow__builder_8h_source.html#l00066">arc_flow_builder.h:66</a></div></div>
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