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<li class="navelem"><a class="el" href="dir_a7cc1eeded8f693d0da6c729bc88c45a.html">ortools</a></li><li class="navelem"><a class="el" href="dir_4d3a5a688e4550f3d7725aaa5ab9c27b.html">linear_solver</a></li><li class="navelem"><a class="el" href="dir_c058b655dd87a06086a3d01984927bc3.html">samples</a></li> </ul>
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<div class="title">SimpleMipProgram.java</div> </div>
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<a href="SimpleMipProgram_8java.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>&#160;<span class="comment">// Copyright 2010-2018 Google LLC</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment">// Licensed under the Apache License, Version 2.0 (the &quot;License&quot;);</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment">// you may not use this file except in compliance with the License.</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment">// You may obtain a copy of the License at</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment">// Unless required by applicable law or agreed to in writing, software</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment">// distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment">// See the License for the specific language governing permissions and</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;<span class="comment">// limitations under the License.</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;</div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="comment">// Minimal example to call the MIP solver.</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="comment">// [START program]</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="comment">// [START import]</span></div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="keyword">import</span> <a class="code" href="namespacecom.html">com</a>.<a class="code" href="namespacecom_1_1google.html">google</a>.<a class="code" href="namespacecom_1_1google_1_1ortools.html">ortools</a>.<a class="code" href="namespacecom_1_1google_1_1ortools_1_1linearsolver.html">linearsolver</a>.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPConstraint.html">MPConstraint</a>;</div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="keyword">import</span> <a class="code" href="namespacecom.html">com</a>.<a class="code" href="namespacecom_1_1google.html">google</a>.<a class="code" href="namespacecom_1_1google_1_1ortools.html">ortools</a>.<a class="code" href="namespacecom_1_1google_1_1ortools_1_1linearsolver.html">linearsolver</a>.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPObjective.html">MPObjective</a>;</div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;<span class="keyword">import</span> <a class="code" href="namespacecom.html">com</a>.<a class="code" href="namespacecom_1_1google.html">google</a>.<a class="code" href="namespacecom_1_1google_1_1ortools.html">ortools</a>.<a class="code" href="namespacecom_1_1google_1_1ortools_1_1linearsolver.html">linearsolver</a>.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html">MPSolver</a>;</div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="keyword">import</span> <a class="code" href="namespacecom.html">com</a>.<a class="code" href="namespacecom_1_1google.html">google</a>.<a class="code" href="namespacecom_1_1google_1_1ortools.html">ortools</a>.<a class="code" href="namespacecom_1_1google_1_1ortools_1_1linearsolver.html">linearsolver</a>.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPVariable.html">MPVariable</a>;</div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="comment">// [END import]</span></div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;</div><div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="classSimpleMipProgram.html"> 24</a></span>&#160;<span class="keyword">public</span> <span class="keyword">class </span><a class="code" href="classSimpleMipProgram.html">SimpleMipProgram</a> {</div><div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160; <span class="keyword">static</span> {</div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; System.loadLibrary(<span class="stringliteral">&quot;jniortools&quot;</span>);</div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; }</div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;</div><div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="classSimpleMipProgram.html#a60be224759b9e2c1670e37a1de001e69"> 29</a></span>&#160; <span class="keyword">public</span> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classSimpleMipProgram.html#a60be224759b9e2c1670e37a1de001e69">main</a>(String[] args) <span class="keywordflow">throws</span> Exception {</div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; <span class="comment">// [START solver]</span></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; <span class="comment">// Create the linear solver with the CBC backend.</span></div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; <a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html">MPSolver</a> solver = <span class="keyword">new</span> <a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html">MPSolver</a>(</div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; <span class="stringliteral">&quot;SimpleMipProgram&quot;</span>, <a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html">MPSolver</a>.<a class="code" href="enumcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_1_1OptimizationProblemType.html">OptimizationProblemType</a>.<a class="code" href="enumcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_1_1OptimizationProblemType.html#a684f4f16f0e9c9e8758456282da662fd">CBC_MIXED_INTEGER_PROGRAMMING</a>);</div><div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <span class="comment">// [END solver]</span></div><div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;</div><div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; <span class="comment">// [START variables]</span></div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <span class="keywordtype">double</span> infinity = java.lang.Double.POSITIVE_INFINITY;</div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; <span class="comment">// x and y are integer non-negative variables.</span></div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPVariable.html">MPVariable</a> x = solver.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#a6c671bda706e057364c1893049f38c66">makeIntVar</a>(0.0, infinity, <span class="stringliteral">&quot;x&quot;</span>);</div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; <a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPVariable.html">MPVariable</a> y = solver.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#a6c671bda706e057364c1893049f38c66">makeIntVar</a>(0.0, infinity, <span class="stringliteral">&quot;y&quot;</span>);</div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;</div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; System.out.println(<span class="stringliteral">&quot;Number of variables = &quot;</span> + solver.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#af9a95c8101cc414058de5b05030204c8">numVariables</a>());</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <span class="comment">// [END variables]</span></div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; <span class="comment">// [START constraints]</span></div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; <span class="comment">// x + 7 * y &lt;= 17.5.</span></div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; <a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPConstraint.html">MPConstraint</a> c0 = solver.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#a3ce0ce830904758c0a43ecf824980755">makeConstraint</a>(-infinity, 17.5, <span class="stringliteral">&quot;c0&quot;</span>);</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; c0.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPConstraint.html#a8ea6d4649734d3344a5a104722710312">setCoefficient</a>(x, 1);</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; c0.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPConstraint.html#a8ea6d4649734d3344a5a104722710312">setCoefficient</a>(y, 7);</div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <span class="comment">// x &lt;= 3.5.</span></div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; <a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPConstraint.html">MPConstraint</a> c1 = solver.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#a3ce0ce830904758c0a43ecf824980755">makeConstraint</a>(-infinity, 3.5, <span class="stringliteral">&quot;c1&quot;</span>);</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; c1.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPConstraint.html#a8ea6d4649734d3344a5a104722710312">setCoefficient</a>(x, 1);</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; c1.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPConstraint.html#a8ea6d4649734d3344a5a104722710312">setCoefficient</a>(y, 0);</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; System.out.println(<span class="stringliteral">&quot;Number of constraints = &quot;</span> + solver.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#a2e410fd90605e06e42bcb1b096d79769">numConstraints</a>());</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <span class="comment">// [END constraints]</span></div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160;</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; <span class="comment">// [START objective]</span></div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; <span class="comment">// Maximize x + 10 * y.</span></div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPObjective.html">MPObjective</a> objective = solver.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#ae5ee1c277142decb79a2f8124eef55cf">objective</a>();</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; objective.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPObjective.html#a327372f68d75289337ee2c318b6eab7d">setCoefficient</a>(x, 1);</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; objective.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPObjective.html#a327372f68d75289337ee2c318b6eab7d">setCoefficient</a>(y, 10);</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; objective.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPObjective.html#a974975dc92e0805cc99a2760bd6782d7">setMaximization</a>();</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; <span class="comment">// [END objective]</span></div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <span class="comment">// [START solve]</span></div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="keyword">final</span> <a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html">MPSolver</a>.<a class="code" href="enumcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_1_1ResultStatus.html">ResultStatus</a> resultStatus = solver.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#a4cb539145ead1c91afda210644e52aa1">solve</a>();</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="comment">// Check that the problem has an optimal solution.</span></div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <span class="keywordflow">if</span> (resultStatus != <a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html">MPSolver</a>.<a class="code" href="enumcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_1_1ResultStatus.html">ResultStatus</a>.<a class="code" href="enumcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_1_1ResultStatus.html#af4e92a531953e53f3e39733eeb748274">OPTIMAL</a>) {</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; System.err.println(<span class="stringliteral">&quot;The problem does not have an optimal solution!&quot;</span>);</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; }</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; <span class="comment">// Verify that the solution satisfies all constraints (when using solvers</span></div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; <span class="comment">// others than GLOP_LINEAR_PROGRAMMING, this is highly recommended!).</span></div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <span class="keywordflow">if</span> (!solver.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#a2e87b3e192b81d1df9f79055efedeceb">verifySolution</a>(<span class="comment">/*tolerance=*/</span>1e-7, <span class="comment">/*log_errors=*/</span><span class="keyword">true</span>)) {</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; System.err.println(<span class="stringliteral">&quot;The solution returned by the solver violated the&quot;</span></div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; + <span class="stringliteral">&quot; problem constraints by at least 1e-7&quot;</span>);</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; <span class="keywordflow">return</span>;</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; }</div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; <span class="comment">// [END solve]</span></div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160;</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <span class="comment">// [START print_solution]</span></div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; System.out.println(<span class="stringliteral">&quot;Solution:&quot;</span>);</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; System.out.println(<span class="stringliteral">&quot;Objective value = &quot;</span> + objective.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPObjective.html#ad94745cecae2857144eff69562be27c0">value</a>());</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; System.out.println(<span class="stringliteral">&quot;x = &quot;</span> + x.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPVariable.html#abd406be5e65f37771effe20d9203e6f8">solutionValue</a>());</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; System.out.println(<span class="stringliteral">&quot;y = &quot;</span> + y.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPVariable.html#abd406be5e65f37771effe20d9203e6f8">solutionValue</a>());</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; <span class="comment">// [END print_solution]</span></div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;</div><div class="line"><a name="l00090"></a><span class="lineno"> 90</span>&#160; <span class="comment">// [START advanced]</span></div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; System.out.println(<span class="stringliteral">&quot;\nAdvanced usage:&quot;</span>);</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; System.out.println(<span class="stringliteral">&quot;Problem solved in &quot;</span> + solver.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#a421429bb3274ee3b0a9aa73de0ae0abe">wallTime</a>() + <span class="stringliteral">&quot; milliseconds&quot;</span>);</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; System.out.println(<span class="stringliteral">&quot;Problem solved in &quot;</span> + solver.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#a60623dc8a2de85b855343ccec4b2d4cc">iterations</a>() + <span class="stringliteral">&quot; iterations&quot;</span>);</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; System.out.println(<span class="stringliteral">&quot;Problem solved in &quot;</span> + solver.<a class="code" href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#a6404e9bd9c7c550ced0552d5b0ca69a9">nodes</a>() + <span class="stringliteral">&quot; branch-and-bound nodes&quot;</span>);</div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; <span class="comment">// [END advanced]</span></div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; }</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;}</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160;<span class="comment">// [END program]</span></div><div class="ttc" id="enumcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_1_1OptimizationProblemType_html_a684f4f16f0e9c9e8758456282da662fd"><div class="ttname"><a href="enumcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_1_1OptimizationProblemType.html#a684f4f16f0e9c9e8758456282da662fd">com.google.ortools.linearsolver.MPSolver.OptimizationProblemType.CBC_MIXED_INTEGER_PROGRAMMING</a></div><div class="ttdeci">CBC_MIXED_INTEGER_PROGRAMMING</div><div class="ttdef"><b>Definition:</b> <a href="MPSolver_8java_source.html#l00240">MPSolver.java:240</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPVariable_html"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPVariable.html">com.google.ortools.linearsolver.MPVariable</a></div><div class="ttdef"><b>Definition:</b> <a href="MPVariable_8java_source.html#l00013">MPVariable.java:13</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPObjective_html_a974975dc92e0805cc99a2760bd6782d7"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPObjective.html#a974975dc92e0805cc99a2760bd6782d7">com.google.ortools.linearsolver.MPObjective.setMaximization</a></div><div class="ttdeci">void setMaximization()</div><div class="ttdef"><b>Definition:</b> <a href="MPObjective_8java_source.html#l00068">MPObjective.java:68</a></div></div>
<div class="ttc" id="classSimpleMipProgram_html"><div class="ttname"><a href="classSimpleMipProgram.html">SimpleMipProgram</a></div><div class="ttdoc">Minimal Mixed Integer Programming example to showcase calling the solver.</div><div class="ttdef"><b>Definition:</b> <a href="SimpleMipProgram_8java_source.html#l00024">SimpleMipProgram.java:24</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_html_a6c671bda706e057364c1893049f38c66"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#a6c671bda706e057364c1893049f38c66">com.google.ortools.linearsolver.MPSolver.makeIntVar</a></div><div class="ttdeci">MPVariable makeIntVar(double lb, double ub, String name)</div><div class="ttdef"><b>Definition:</b> <a href="MPSolver_8java_source.html#l00112">MPSolver.java:112</a></div></div>
<div class="ttc" id="enumcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_1_1ResultStatus_html"><div class="ttname"><a href="enumcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_1_1ResultStatus.html">com.google.ortools.linearsolver.MPSolver.ResultStatus</a></div><div class="ttdef"><b>Definition:</b> <a href="MPSolver_8java_source.html#l00281">MPSolver.java:281</a></div></div>
<div class="ttc" id="namespacecom_html"><div class="ttname"><a href="namespacecom.html">com</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPConstraint_html"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPConstraint.html">com.google.ortools.linearsolver.MPConstraint</a></div><div class="ttdef"><b>Definition:</b> <a href="MPConstraint_8java_source.html#l00013">MPConstraint.java:13</a></div></div>
<div class="ttc" id="classSimpleMipProgram_html_a60be224759b9e2c1670e37a1de001e69"><div class="ttname"><a href="classSimpleMipProgram.html#a60be224759b9e2c1670e37a1de001e69">SimpleMipProgram.main</a></div><div class="ttdeci">static void main(String[] args)</div><div class="ttdef"><b>Definition:</b> <a href="SimpleMipProgram_8java_source.html#l00029">SimpleMipProgram.java:29</a></div></div>
<div class="ttc" id="namespacecom_1_1google_1_1ortools_1_1linearsolver_html"><div class="ttname"><a href="namespacecom_1_1google_1_1ortools_1_1linearsolver.html">com.google.ortools.linearsolver</a></div><div class="ttdef"><b>Definition:</b> <a href="main__research__linear__solver_8java_source.html#l00009">main_research_linear_solver.java:9</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPObjective_html_a327372f68d75289337ee2c318b6eab7d"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPObjective.html#a327372f68d75289337ee2c318b6eab7d">com.google.ortools.linearsolver.MPObjective.setCoefficient</a></div><div class="ttdeci">void setCoefficient(MPVariable var, double coeff)</div><div class="ttdef"><b>Definition:</b> <a href="MPObjective_8java_source.html#l00044">MPObjective.java:44</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_html_a4cb539145ead1c91afda210644e52aa1"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#a4cb539145ead1c91afda210644e52aa1">com.google.ortools.linearsolver.MPSolver.solve</a></div><div class="ttdeci">MPSolver.ResultStatus solve()</div><div class="ttdef"><b>Definition:</b> <a href="MPSolver_8java_source.html#l00156">MPSolver.java:156</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_html_a421429bb3274ee3b0a9aa73de0ae0abe"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#a421429bb3274ee3b0a9aa73de0ae0abe">com.google.ortools.linearsolver.MPSolver.wallTime</a></div><div class="ttdeci">long wallTime()</div><div class="ttdef"><b>Definition:</b> <a href="MPSolver_8java_source.html#l00212">MPSolver.java:212</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_html_a2e410fd90605e06e42bcb1b096d79769"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#a2e410fd90605e06e42bcb1b096d79769">com.google.ortools.linearsolver.MPSolver.numConstraints</a></div><div class="ttdeci">int numConstraints()</div><div class="ttdef"><b>Definition:</b> <a href="MPSolver_8java_source.html#l00122">MPSolver.java:122</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_html_a3ce0ce830904758c0a43ecf824980755"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#a3ce0ce830904758c0a43ecf824980755">com.google.ortools.linearsolver.MPSolver.makeConstraint</a></div><div class="ttdeci">MPConstraint makeConstraint(double lb, double ub)</div><div class="ttdef"><b>Definition:</b> <a href="MPSolver_8java_source.html#l00131">MPSolver.java:131</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPObjective_html_ad94745cecae2857144eff69562be27c0"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPObjective.html#ad94745cecae2857144eff69562be27c0">com.google.ortools.linearsolver.MPObjective.value</a></div><div class="ttdeci">double value()</div><div class="ttdef"><b>Definition:</b> <a href="MPObjective_8java_source.html#l00080">MPObjective.java:80</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_html"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html">com.google.ortools.linearsolver.MPSolver</a></div><div class="ttdef"><b>Definition:</b> <a href="MPSolver_8java_source.html#l00013">MPSolver.java:13</a></div></div>
<div class="ttc" id="namespacecom_1_1google_1_1ortools_html"><div class="ttname"><a href="namespacecom_1_1google_1_1ortools.html">com.google.ortools</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_html_a60623dc8a2de85b855343ccec4b2d4cc"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#a60623dc8a2de85b855343ccec4b2d4cc">com.google.ortools.linearsolver.MPSolver.iterations</a></div><div class="ttdeci">long iterations()</div><div class="ttdef"><b>Definition:</b> <a href="MPSolver_8java_source.html#l00196">MPSolver.java:196</a></div></div>
<div class="ttc" id="enumcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_1_1OptimizationProblemType_html"><div class="ttname"><a href="enumcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_1_1OptimizationProblemType.html">com.google.ortools.linearsolver.MPSolver.OptimizationProblemType</a></div><div class="ttdef"><b>Definition:</b> <a href="MPSolver_8java_source.html#l00236">MPSolver.java:236</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPVariable_html_abd406be5e65f37771effe20d9203e6f8"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPVariable.html#abd406be5e65f37771effe20d9203e6f8">com.google.ortools.linearsolver.MPVariable.solutionValue</a></div><div class="ttdeci">double solutionValue()</div><div class="ttdef"><b>Definition:</b> <a href="MPVariable_8java_source.html#l00048">MPVariable.java:48</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_html_a6404e9bd9c7c550ced0552d5b0ca69a9"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#a6404e9bd9c7c550ced0552d5b0ca69a9">com.google.ortools.linearsolver.MPSolver.nodes</a></div><div class="ttdeci">long nodes()</div><div class="ttdef"><b>Definition:</b> <a href="MPSolver_8java_source.html#l00200">MPSolver.java:200</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_html_a2e87b3e192b81d1df9f79055efedeceb"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#a2e87b3e192b81d1df9f79055efedeceb">com.google.ortools.linearsolver.MPSolver.verifySolution</a></div><div class="ttdeci">boolean verifySolution(double tolerance, boolean log_errors)</div><div class="ttdef"><b>Definition:</b> <a href="MPSolver_8java_source.html#l00168">MPSolver.java:168</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPObjective_html"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPObjective.html">com.google.ortools.linearsolver.MPObjective</a></div><div class="ttdef"><b>Definition:</b> <a href="MPObjective_8java_source.html#l00013">MPObjective.java:13</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPConstraint_html_a8ea6d4649734d3344a5a104722710312"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPConstraint.html#a8ea6d4649734d3344a5a104722710312">com.google.ortools.linearsolver.MPConstraint.setCoefficient</a></div><div class="ttdeci">void setCoefficient(MPVariable var, double coeff)</div><div class="ttdef"><b>Definition:</b> <a href="MPConstraint_8java_source.html#l00044">MPConstraint.java:44</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_html_ae5ee1c277142decb79a2f8124eef55cf"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#ae5ee1c277142decb79a2f8124eef55cf">com.google.ortools.linearsolver.MPSolver.objective</a></div><div class="ttdeci">MPObjective objective()</div><div class="ttdef"><b>Definition:</b> <a href="MPSolver_8java_source.html#l00151">MPSolver.java:151</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_html_af9a95c8101cc414058de5b05030204c8"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver.html#af9a95c8101cc414058de5b05030204c8">com.google.ortools.linearsolver.MPSolver.numVariables</a></div><div class="ttdeci">int numVariables()</div><div class="ttdef"><b>Definition:</b> <a href="MPSolver_8java_source.html#l00093">MPSolver.java:93</a></div></div>
<div class="ttc" id="namespacecom_1_1google_html"><div class="ttname"><a href="namespacecom_1_1google.html">com.google</a></div></div>
<div class="ttc" id="enumcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_1_1ResultStatus_html_af4e92a531953e53f3e39733eeb748274"><div class="ttname"><a href="enumcom_1_1google_1_1ortools_1_1linearsolver_1_1MPSolver_1_1ResultStatus.html#af4e92a531953e53f3e39733eeb748274">com.google.ortools.linearsolver.MPSolver.ResultStatus.OPTIMAL</a></div><div class="ttdeci">OPTIMAL</div><div class="ttdef"><b>Definition:</b> <a href="MPSolver_8java_source.html#l00282">MPSolver.java:282</a></div></div>
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