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221 lines
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<div class="headertitle"><div class="title">linear_programming.cc</div></div>
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<a href="linear__programming_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>
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<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 "License");</span></div>
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<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>
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<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>
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<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">//</span></div>
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<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>
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<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
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<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>
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<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 "AS IS" BASIS,</span></div>
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<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>
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<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>
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<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment">// limitations under the License.</span></div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="comment">// Simple linear programming example</span></div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> </div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include <iostream></span></div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include <limits></span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include <string></span></div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include <vector></span></div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> </div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include "absl/status/statusor.h"</span></div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include "absl/strings/str_cat.h"</span></div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include "absl/strings/str_join.h"</span></div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include "absl/time/time.h"</span></div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include "<a class="code" href="init__google_8h.html">ortools/base/init_google.h</a>"</span></div>
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<div class="line"><a id="l00026" 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>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="preprocessor">#include "<a class="code" href="status__builder_8h.html">ortools/base/status_builder.h</a>"</span></div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="preprocessor">#include "<a class="code" href="base_2status__macros_8h.html">ortools/base/status_macros.h</a>"</span></div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="preprocessor">#include "<a class="code" href="math__opt_8h.html">ortools/math_opt/cpp/math_opt.h</a>"</span></div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> </div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="keyword">namespace </span>{</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> </div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceoperations__research_1_1math__opt.html">math_opt</a> = ::operations_research::math_opt;</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> </div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="keyword">constexpr</span> <span class="keywordtype">double</span> <a class="code hl_variable" href="namespaceoperations__research_1_1math__opt.html#ad9f50c9313b35cc1e8887057dc4d9645">kInf</a> = std::numeric_limits<double>::infinity();</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> </div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="comment">// Model and solve the problem:</span></div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span><span class="comment">// max 10 * x0 + 6 * x1 + 4 * x2</span></div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="comment">// s.t. 10 * x0 + 4 * x1 + 5 * x2 <= 600</span></div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="comment">// 2 * x0 + 2 * x1 + 6 * x2 <= 300</span></div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span><span class="comment">// x0 + x1 + x2 <= 100</span></div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="comment">// x0 in [0, infinity)</span></div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span><span class="comment">// x1 in [0, infinity)</span></div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span><span class="comment">// x2 in [0, infinity)</span></div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="comment">//</span></div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span>absl::Status Main() {</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <a class="code hl_class" href="classoperations__research_1_1math__opt_1_1_model.html">math_opt::Model</a> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>(<span class="stringliteral">"Linear programming example"</span>);</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="comment">// Variables</span></div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> std::vector<math_opt::Variable> x;</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < 3; j++) {</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> x.push_back(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.AddContinuousVariable(0.0, <a class="code hl_variable" href="namespaceoperations__research_1_1math__opt.html#ad9f50c9313b35cc1e8887057dc4d9645">kInf</a>, absl::StrCat(<span class="stringliteral">"x"</span>, j)));</div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> }</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> </div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="comment">// Constraints</span></div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> std::vector<math_opt::LinearConstraint> constraints;</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> constraints.push_back(</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.AddLinearConstraint(10 * x[0] + 4 * x[1] + 5 * x[2] <= 600, <span class="stringliteral">"c1"</span>));</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> constraints.push_back(</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.AddLinearConstraint(2 * x[0] + 2 * x[1] + 6 * x[2] <= 300, <span class="stringliteral">"c2"</span>));</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="comment">// sum(x[i]) <= 100</span></div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> constraints.push_back(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.AddLinearConstraint(<a class="code hl_function" href="namespaceoperations__research_1_1math__opt.html#a2d3e7a73de1ae32066be431b5e68f613">Sum</a>(x) <= 100, <span class="stringliteral">"c3"</span>));</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> </div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="comment">// Objective</span></div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>.Maximize(10 * x[0] + 6 * x[1] + 4 * x[2]);</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> </div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <a class="code hl_define" href="base_2status__macros_8h.html#a600de4b8f65fe0a4b1898041634f9011">ASSIGN_OR_RETURN</a>(<span class="keyword">const</span> <a class="code hl_struct" href="structoperations__research_1_1math__opt_1_1_solve_result.html">math_opt::SolveResult</a> result,</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <a class="code hl_function" href="namespaceoperations__research_1_1math__opt.html#a5767ee23f380e72488d3c7ebf2d742b1">Solve</a>(<a class="code hl_variable" href="gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf">model</a>, math_opt::SolverType::kGlop));</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keywordflow">if</span> (result.<a class="code hl_variable" href="structoperations__research_1_1math__opt_1_1_solve_result.html#a77d1ea96211300e9417b965981953c81">termination</a>.<a class="code hl_variable" href="structoperations__research_1_1math__opt_1_1_termination.html#a36d5365d462f57468ba3a9d8ae6bbec9">reason</a> != math_opt::TerminationReason::kOptimal) {</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keywordflow">return</span> <a class="code hl_function" href="namespaceutil.html#a302ee4bfcb86ea9ed64a193ed0b14648">util::InternalErrorBuilder</a>()</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> << <span class="stringliteral">"model failed to solve to optimality"</span> << result.<a class="code hl_variable" href="structoperations__research_1_1math__opt_1_1_solve_result.html#a77d1ea96211300e9417b965981953c81">termination</a>;</div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> }</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> </div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> std::cout << <span class="stringliteral">"Problem solved in "</span> << result.<a class="code hl_function" href="structoperations__research_1_1math__opt_1_1_solve_result.html#a2dc761880474e791f59285a792f7d1bb">solve_time</a>() << std::endl;</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> std::cout << <span class="stringliteral">"Objective value: "</span> << result.<a class="code hl_function" href="structoperations__research_1_1math__opt_1_1_solve_result.html#a84f066c304d8bcbb9567be094feb9b08">objective_value</a>() << std::endl;</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> </div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> std::cout << <span class="stringliteral">"Variable values: ["</span></div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> << absl::StrJoin(result.<a class="code hl_function" href="structoperations__research_1_1math__opt_1_1_solve_result.html#ac4a6e078f25aa73eec5271d449a12532">variable_values</a>().Values(x), <span class="stringliteral">", "</span>) << <span class="stringliteral">"]"</span></div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> << std::endl;</div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> </div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keywordflow">return</span> absl::OkStatus();</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span>}</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span>} <span class="comment">// namespace</span></div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> </div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"><a class="line" href="linear__programming_8cc.html#a3c04138a5bfe5d72780bb7e82a18e627"> 85</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="linear__programming_8cc.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a>(<span class="keywordtype">int</span> argc, <span class="keywordtype">char</span>** argv) {</div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <a class="code hl_function" href="init__google_8h.html#a16af2bccb0196e1a9bb628559c95b7cb">InitGoogle</a>(argv[0], &argc, &argv, <span class="keyword">true</span>);</div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keyword">const</span> absl::Status <a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a> = Main();</div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="keywordflow">if</span> (!<a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a>.ok()) {</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <a class="code hl_define" href="base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae">LOG</a>(QFATAL) << <a class="code hl_variable" href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a>;</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> }</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span>}</div>
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<div class="ttc" id="abase_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="abase_2logging_8h_html_accad43a85d781d53381cd53a9894b6ae"><div class="ttname"><a href="base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae">LOG</a></div><div class="ttdeci">#define LOG(severity)</div><div class="ttdef"><b>Definition:</b> <a href="base_2logging_8h_source.html#l00420">base/logging.h:420</a></div></div>
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<div class="ttc" id="abase_2status__macros_8h_html"><div class="ttname"><a href="base_2status__macros_8h.html">status_macros.h</a></div></div>
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<div class="ttc" id="abase_2status__macros_8h_html_a600de4b8f65fe0a4b1898041634f9011"><div class="ttname"><a href="base_2status__macros_8h.html#a600de4b8f65fe0a4b1898041634f9011">ASSIGN_OR_RETURN</a></div><div class="ttdeci">#define ASSIGN_OR_RETURN(lhs, rexpr)</div><div class="ttdef"><b>Definition:</b> <a href="base_2status__macros_8h_source.html#l00046">base/status_macros.h:46</a></div></div>
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<div class="ttc" id="aclassoperations__research_1_1math__opt_1_1_model_html"><div class="ttname"><a href="classoperations__research_1_1math__opt_1_1_model.html">operations_research::math_opt::Model</a></div><div class="ttdef"><b>Definition:</b> <a href="math__opt_2cpp_2model_8h_source.html#l00091">math_opt/cpp/model.h:91</a></div></div>
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<div class="ttc" id="ag__gurobi_8cc_html_a2237393c7ae7ad7344c9885066d5ab6d"><div class="ttname"><a href="g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d">status</a></div><div class="ttdeci">absl::Status status</div><div class="ttdef"><b>Definition:</b> <a href="g__gurobi_8cc_source.html#l00035">g_gurobi.cc:35</a></div></div>
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<div class="ttc" id="agurobi__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="ainit__google_8h_html"><div class="ttname"><a href="init__google_8h.html">init_google.h</a></div></div>
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<div class="ttc" id="ainit__google_8h_html_a16af2bccb0196e1a9bb628559c95b7cb"><div class="ttname"><a href="init__google_8h.html#a16af2bccb0196e1a9bb628559c95b7cb">InitGoogle</a></div><div class="ttdeci">void InitGoogle(const char *usage, int *argc, char ***argv, bool deprecated)</div><div class="ttdef"><b>Definition:</b> <a href="init__google_8h_source.html#l00032">init_google.h:32</a></div></div>
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<div class="ttc" id="alinear__programming_8cc_html_a3c04138a5bfe5d72780bb7e82a18e627"><div class="ttname"><a href="linear__programming_8cc.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a></div><div class="ttdeci">int main(int argc, char **argv)</div><div class="ttdef"><b>Definition:</b> <a href="linear__programming_8cc_source.html#l00085">linear_programming.cc:85</a></div></div>
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<div class="ttc" id="amath__opt_8h_html"><div class="ttname"><a href="math__opt_8h.html">math_opt.h</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1math__opt_html"><div class="ttname"><a href="namespaceoperations__research_1_1math__opt.html">operations_research::math_opt</a></div><div class="ttdef"><b>Definition:</b> <a href="arrow__operator__proxy_8h_source.html#l00020">arrow_operator_proxy.h:20</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1math__opt_html_a2d3e7a73de1ae32066be431b5e68f613"><div class="ttname"><a href="namespaceoperations__research_1_1math__opt.html#a2d3e7a73de1ae32066be431b5e68f613">operations_research::math_opt::Sum</a></div><div class="ttdeci">LinearExpression Sum(const Iterable &items)</div><div class="ttdef"><b>Definition:</b> <a href="variable__and__expressions_8h_source.html#l01220">variable_and_expressions.h:1220</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1math__opt_html_a5767ee23f380e72488d3c7ebf2d742b1"><div class="ttname"><a href="namespaceoperations__research_1_1math__opt.html#a5767ee23f380e72488d3c7ebf2d742b1">operations_research::math_opt::Solve</a></div><div class="ttdeci">absl::StatusOr< SolveResult > Solve(const Model &model, const SolverType solver_type, const SolveArguments &solve_args, const SolverInitArguments &init_args)</div><div class="ttdef"><b>Definition:</b> <a href="solve_8cc_source.html#l00094">solve.cc:94</a></div></div>
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<div class="ttc" id="anamespaceoperations__research_1_1math__opt_html_ad9f50c9313b35cc1e8887057dc4d9645"><div class="ttname"><a href="namespaceoperations__research_1_1math__opt.html#ad9f50c9313b35cc1e8887057dc4d9645">operations_research::math_opt::kInf</a></div><div class="ttdeci">constexpr double kInf</div><div class="ttdef"><b>Definition:</b> <a href="variable__and__expressions_8cc_source.html#l00029">variable_and_expressions.cc:29</a></div></div>
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<div class="ttc" id="anamespaceutil_html_a302ee4bfcb86ea9ed64a193ed0b14648"><div class="ttname"><a href="namespaceutil.html#a302ee4bfcb86ea9ed64a193ed0b14648">util::InternalErrorBuilder</a></div><div class="ttdeci">StatusBuilder InternalErrorBuilder()</div><div class="ttdef"><b>Definition:</b> <a href="status__builder_8h_source.html#l00084">status_builder.h:84</a></div></div>
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<div class="ttc" id="astatus__builder_8h_html"><div class="ttname"><a href="status__builder_8h.html">status_builder.h</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1math__opt_1_1_solve_result_html"><div class="ttname"><a href="structoperations__research_1_1math__opt_1_1_solve_result.html">operations_research::math_opt::SolveResult</a></div><div class="ttdef"><b>Definition:</b> <a href="solve__result_8h_source.html#l00295">solve_result.h:295</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1math__opt_1_1_solve_result_html_a2dc761880474e791f59285a792f7d1bb"><div class="ttname"><a href="structoperations__research_1_1math__opt_1_1_solve_result.html#a2dc761880474e791f59285a792f7d1bb">operations_research::math_opt::SolveResult::solve_time</a></div><div class="ttdeci">absl::Duration solve_time() const</div><div class="ttdef"><b>Definition:</b> <a href="solve__result_8h_source.html#l00338">solve_result.h:338</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1math__opt_1_1_solve_result_html_a77d1ea96211300e9417b965981953c81"><div class="ttname"><a href="structoperations__research_1_1math__opt_1_1_solve_result.html#a77d1ea96211300e9417b965981953c81">operations_research::math_opt::SolveResult::termination</a></div><div class="ttdeci">Termination termination</div><div class="ttdef"><b>Definition:</b> <a href="solve__result_8h_source.html#l00300">solve_result.h:300</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1math__opt_1_1_solve_result_html_a84f066c304d8bcbb9567be094feb9b08"><div class="ttname"><a href="structoperations__research_1_1math__opt_1_1_solve_result.html#a84f066c304d8bcbb9567be094feb9b08">operations_research::math_opt::SolveResult::objective_value</a></div><div class="ttdeci">double objective_value() const</div><div class="ttdef"><b>Definition:</b> <a href="solve__result_8cc_source.html#l00358">solve_result.cc:358</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1math__opt_1_1_solve_result_html_ac4a6e078f25aa73eec5271d449a12532"><div class="ttname"><a href="structoperations__research_1_1math__opt_1_1_solve_result.html#ac4a6e078f25aa73eec5271d449a12532">operations_research::math_opt::SolveResult::variable_values</a></div><div class="ttdeci">const VariableMap< double > & variable_values() const</div><div class="ttdef"><b>Definition:</b> <a href="solve__result_8cc_source.html#l00369">solve_result.cc:369</a></div></div>
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<div class="ttc" id="astructoperations__research_1_1math__opt_1_1_termination_html_a36d5365d462f57468ba3a9d8ae6bbec9"><div class="ttname"><a href="structoperations__research_1_1math__opt_1_1_termination.html#a36d5365d462f57468ba3a9d8ae6bbec9">operations_research::math_opt::Termination::reason</a></div><div class="ttdeci">TerminationReason reason</div><div class="ttdef"><b>Definition:</b> <a href="solve__result_8h_source.html#l00261">solve_result.h:261</a></div></div>
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