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<div class="title">LinearProgrammingExample.cs</div> </div>
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<a href="LinearProgrammingExample_8cs.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">// Copyright 2010-2018 Google LLC</span></div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div>
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">// you may not use this file except in compliance with the License.</span></div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// You may obtain a copy of the License at</span></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div>
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<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">//</span></div>
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<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div>
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<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div>
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<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment">// See the License for the specific language governing permissions and</span></div>
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<div class="line"><a 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 name="l00013"></a><span class="lineno"> 13</span>  </div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment">// [START program]</span></div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="keyword">using</span> System;</div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="keyword">using</span> <a class="code" href="namespaceGoogle.html">Google</a>.<a class="code" href="namespaceGoogle_1_1OrTools.html">OrTools</a>.<a class="code" href="namespaceGoogle_1_1OrTools_1_1LinearSolver.html">LinearSolver</a>;</div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>  </div>
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<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="classLinearProgrammingExample.html"> 18</a></span> <span class="keyword">public</span> <span class="keyword">class </span><a class="code" href="classLinearProgrammingExample.html">LinearProgrammingExample</a></div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> {</div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> Main()</div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  {</div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  <span class="comment">// [START solver]</span></div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  MPSolver solver = <span class="keyword">new</span> MPSolver(<span class="stringliteral">"LinearProgrammingExample"</span>, <span class="stringliteral">"GLOP_LINEAR_PROGRAMMING"</span>);</div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  <span class="comment">// [END solver]</span></div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  <span class="comment">// x and y are continuous non-negative variables.</span></div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  <span class="comment">// [START variables]</span></div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <a class="code" href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Variable.html">Variable</a> x = solver.MakeNumVar(0.0, <span class="keywordtype">double</span>.PositiveInfinity, <span class="stringliteral">"x"</span>);</div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  <a class="code" href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Variable.html">Variable</a> y = solver.MakeNumVar(0.0, <span class="keywordtype">double</span>.PositiveInfinity, <span class="stringliteral">"y"</span>);</div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="comment">// [END variables]</span></div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  </div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="comment">// [START constraints]</span></div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="comment">// x + 2y <= 14.</span></div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <a class="code" href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Constraint.html">Constraint</a> c0 = solver.MakeConstraint(<span class="keywordtype">double</span>.NegativeInfinity, 14.0);</div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  c0.<a class="code" href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Constraint.html#accb6f7442b6b1f579e607835c9c4b73a">SetCoefficient</a>(x, 1);</div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  c0.<a class="code" href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Constraint.html#accb6f7442b6b1f579e607835c9c4b73a">SetCoefficient</a>(y, 2);</div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  </div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="comment">// 3x - y >= 0.</span></div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <a class="code" href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Constraint.html">Constraint</a> c1 = solver.MakeConstraint(0.0, <span class="keywordtype">double</span>.PositiveInfinity);</div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  c1.<a class="code" href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Constraint.html#accb6f7442b6b1f579e607835c9c4b73a">SetCoefficient</a>(x, 3);</div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  c1.<a class="code" href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Constraint.html#accb6f7442b6b1f579e607835c9c4b73a">SetCoefficient</a>(y, -1);</div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  </div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="comment">// x - y <= 2.</span></div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <a class="code" href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Constraint.html">Constraint</a> c2 = solver.MakeConstraint(<span class="keywordtype">double</span>.NegativeInfinity, 2.0);</div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  c2.<a class="code" href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Constraint.html#accb6f7442b6b1f579e607835c9c4b73a">SetCoefficient</a>(x, 1);</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  c2.<a class="code" href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Constraint.html#accb6f7442b6b1f579e607835c9c4b73a">SetCoefficient</a>(y, -1);</div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  <span class="comment">// [END constraints]</span></div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  </div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <span class="comment">// [START objective]</span></div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <span class="comment">// Objective function: 3x + 4y.</span></div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Objective.html">Objective</a> objective = solver.Objective();</div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  objective.<a class="code" href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Objective.html#accb6f7442b6b1f579e607835c9c4b73a">SetCoefficient</a>(x, 3);</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  objective.<a class="code" href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Objective.html#accb6f7442b6b1f579e607835c9c4b73a">SetCoefficient</a>(y, 4);</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  objective.<a class="code" href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Objective.html#a0ae674872034b9d61b389da66cb9503a">SetMaximization</a>();</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="comment">// [END objective]</span></div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  </div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="comment">// [START solve]</span></div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  solver.Solve();</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="comment">// [END solve]</span></div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  </div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="comment">// [START print_solution]</span></div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  Console.WriteLine(<span class="stringliteral">"Number of variables = "</span> + solver.NumVariables());</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  Console.WriteLine(<span class="stringliteral">"Number of constraints = "</span> + solver.NumConstraints());</div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="comment">// The value of each variable in the solution.</span></div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  Console.WriteLine(<span class="stringliteral">"Solution:"</span>);</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  Console.WriteLine(<span class="stringliteral">"x = "</span> + x.<a class="code" href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Variable.html#a6fce25d4dccb32e61fedf6268b593e08">SolutionValue</a>());</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  Console.WriteLine(<span class="stringliteral">"y = "</span> + y.<a class="code" href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Variable.html#a6fce25d4dccb32e61fedf6268b593e08">SolutionValue</a>());</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="comment">// The objective value of the solution.</span></div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  Console.WriteLine(<span class="stringliteral">"Optimal objective value = "</span> +</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  solver.Objective().Value());</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <span class="comment">// [END print_solution]</span></div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  }</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> }</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="comment">// [END program]</span></div>
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</div><!-- fragment --></div><!-- contents -->
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1LinearSolver_1_1Variable_html"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Variable.html">Google.OrTools.LinearSolver.Variable</a></div><div class="ttdef"><b>Definition:</b> <a href="Variable_8cs_source.html#l00013">Variable.cs:13</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1LinearSolver_1_1Variable_html_a6fce25d4dccb32e61fedf6268b593e08"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Variable.html#a6fce25d4dccb32e61fedf6268b593e08">Google.OrTools.LinearSolver.Variable.SolutionValue</a></div><div class="ttdeci">double SolutionValue()</div><div class="ttdef"><b>Definition:</b> <a href="Variable_8cs_source.html#l00056">Variable.cs:56</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1LinearSolver_1_1Constraint_html_accb6f7442b6b1f579e607835c9c4b73a"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Constraint.html#accb6f7442b6b1f579e607835c9c4b73a">Google.OrTools.LinearSolver.Constraint.SetCoefficient</a></div><div class="ttdeci">void SetCoefficient(Variable var, double coeff)</div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_2Constraint_8cs_source.html#l00052">linear_solver/Constraint.cs:52</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1LinearSolver_1_1Objective_html"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Objective.html">Google.OrTools.LinearSolver.Objective</a></div><div class="ttdef"><b>Definition:</b> <a href="Objective_8cs_source.html#l00013">Objective.cs:13</a></div></div>
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<div class="ttc" id="anamespaceGoogle_html"><div class="ttname"><a href="namespaceGoogle.html">Google</a></div><div class="ttdef"><b>Definition:</b> <a href="KInt64Vector_8cs_source.html#l00011">KInt64Vector.cs:11</a></div></div>
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<div class="ttc" id="aclassLinearProgrammingExample_html"><div class="ttname"><a href="classLinearProgrammingExample.html">LinearProgrammingExample</a></div><div class="ttdef"><b>Definition:</b> <a href="LinearProgrammingExample_8cs_source.html#l00018">LinearProgrammingExample.cs:18</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1LinearSolver_1_1Constraint_html"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Constraint.html">Google.OrTools.LinearSolver.Constraint</a></div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_2Constraint_8cs_source.html#l00013">linear_solver/Constraint.cs:13</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1LinearSolver_1_1Objective_html_accb6f7442b6b1f579e607835c9c4b73a"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Objective.html#accb6f7442b6b1f579e607835c9c4b73a">Google.OrTools.LinearSolver.Objective.SetCoefficient</a></div><div class="ttdeci">void SetCoefficient(Variable var, double coeff)</div><div class="ttdef"><b>Definition:</b> <a href="Objective_8cs_source.html#l00051">Objective.cs:51</a></div></div>
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<div class="ttc" id="anamespaceGoogle_1_1OrTools_1_1LinearSolver_html"><div class="ttname"><a href="namespaceGoogle_1_1OrTools_1_1LinearSolver.html">Google.OrTools.LinearSolver</a></div><div class="ttdef"><b>Definition:</b> <a href="linear__solver_2Constraint_8cs_source.html#l00011">linear_solver/Constraint.cs:11</a></div></div>
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<div class="ttc" id="anamespaceGoogle_1_1OrTools_html"><div class="ttname"><a href="namespaceGoogle_1_1OrTools.html">Google.OrTools</a></div><div class="ttdef"><b>Definition:</b> <a href="KInt64Vector_8cs_source.html#l00011">KInt64Vector.cs:11</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1LinearSolver_1_1Objective_html_a0ae674872034b9d61b389da66cb9503a"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1LinearSolver_1_1Objective.html#a0ae674872034b9d61b389da66cb9503a">Google.OrTools.LinearSolver.Objective.SetMaximization</a></div><div class="ttdeci">void SetMaximization()</div><div class="ttdef"><b>Definition:</b> <a href="Objective_8cs_source.html#l00077">Objective.cs:77</a></div></div>
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