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<li><a href="../dotnet/namespaceGoogle_1_1OrTools_1_1Sat.html">CP-SAT</a></li>
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<div class="title">RankingSampleSat.cs</div> </div>
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<a href="RankingSampleSat_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="keyword">using</span> System;</div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="keyword">using</span> System.Collections.Generic;</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_1Sat.html">Sat</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="classRankingSampleSat.html"> 18</a></span> <span class="keyword">public</span> <span class="keyword">class </span><a class="code" href="classRankingSampleSat.html">RankingSampleSat</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> RankTasks(<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html">CpModel</a> model,</div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html">IntVar</a>[] starts,</div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  <a class="code" href="interfaceGoogle_1_1OrTools_1_1Sat_1_1ILiteral.html">ILiteral</a>[] presences,</div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html">IntVar</a>[] ranks) {</div>
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<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  <span class="keywordtype">int</span> num_tasks = starts.Length;</div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  </div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  <span class="comment">// Creates precedence variables between pairs of intervals.</span></div>
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<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <a class="code" href="interfaceGoogle_1_1OrTools_1_1Sat_1_1ILiteral.html">ILiteral</a>[,] precedences = <span class="keyword">new</span> <a class="code" href="interfaceGoogle_1_1OrTools_1_1Sat_1_1ILiteral.html">ILiteral</a>[num_tasks, num_tasks];</div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < num_tasks; ++i) {</div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < num_tasks; ++j) {</div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keywordflow">if</span> (i == j) {</div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  precedences[i, i] = presences[i];</div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  } <span class="keywordflow">else</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_1Sat_1_1IntVar.html">IntVar</a> prec = model.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a1f984ad05d2bb0a8df1354e8330f7ad1">NewBoolVar</a>(String.Format(<span class="stringliteral">"{0} before {1}"</span>, i, j));</div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  precedences[i, j] = prec;</div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  model.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#aeae42d5e9a6a0fc4a0b12ed903c071a6">Add</a>(starts[i] < starts[j]).<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1Constraint.html#a522f9914657da8db5752d617a695e57c">OnlyEnforceIf</a>(prec);</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>  }</div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  }</div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  </div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="comment">// Treats optional intervals.</span></div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < num_tasks - 1; ++i) {</div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = i + 1; j < num_tasks; ++j) {</div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  List<ILiteral> tmp_array = <span class="keyword">new</span> List<ILiteral>();</div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  tmp_array.Add(precedences[i, j]);</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  tmp_array.Add(precedences[j, i]);</div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  tmp_array.Add(presences[i].Not());</div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <span class="comment">// Makes sure that if i is not performed, all precedences are false.</span></div>
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<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  model.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a88009e45e2fe67ce5be90085ea8d0950">AddImplication</a>(presences[i].Not(), precedences[i, j].Not());</div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  model.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a88009e45e2fe67ce5be90085ea8d0950">AddImplication</a>(presences[i].Not(), precedences[j, i].Not());</div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  tmp_array.Add(presences[j].Not());</div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  <span class="comment">// Makes sure that if j is not performed, all precedences are false.</span></div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  model.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a88009e45e2fe67ce5be90085ea8d0950">AddImplication</a>(presences[j].Not(), precedences[i, j].Not());</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  model.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a88009e45e2fe67ce5be90085ea8d0950">AddImplication</a>(presences[j].Not(), precedences[j, i].Not());</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="comment">// The following bool_or will enforce that for any two intervals:</span></div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="comment">// i precedes j or j precedes i or at least one interval is not</span></div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="comment">// performed.</span></div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  model.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a8fe674a2bfe3d1007b4253c354ee3c70">AddBoolOr</a>(tmp_array);</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <span class="comment">// Redundant constraint: it propagates early that at most one precedence</span></div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="comment">// is true.</span></div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  model.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a88009e45e2fe67ce5be90085ea8d0950">AddImplication</a>(precedences[i, j], precedences[j, i].Not());</div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  model.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a88009e45e2fe67ce5be90085ea8d0950">AddImplication</a>(precedences[j, i], precedences[i, j].Not());</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  }</div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  }</div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  </div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="comment">// Links precedences and ranks.</span></div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < num_tasks; ++i) {</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html">IntVar</a>[] tmp_array = <span class="keyword">new</span> <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html">IntVar</a>[num_tasks];</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < num_tasks; ++j) {</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  tmp_array[j] = (<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html">IntVar</a>)precedences[j, i];</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  }</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  model.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#aeae42d5e9a6a0fc4a0b12ed903c071a6">Add</a>(ranks[i] == <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1LinearExpr.html">LinearExpr</a>.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1LinearExpr.html#ad6377305c1e2b1c9e5c237173fa954db">Sum</a>(tmp_array) - 1);</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>  }</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  </div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> Main()</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  {</div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html">CpModel</a> model = <span class="keyword">new</span> <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html">CpModel</a>();</div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="comment">// Three weeks.</span></div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="keywordtype">int</span> horizon = 100;</div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordtype">int</span> num_tasks = 4;</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  </div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html">IntVar</a>[] starts = <span class="keyword">new</span> <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html">IntVar</a>[num_tasks];</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html">IntVar</a>[] ends = <span class="keyword">new</span> <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html">IntVar</a>[num_tasks];</div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1IntervalVar.html">IntervalVar</a>[] intervals = <span class="keyword">new</span> <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1IntervalVar.html">IntervalVar</a>[num_tasks];</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <a class="code" href="interfaceGoogle_1_1OrTools_1_1Sat_1_1ILiteral.html">ILiteral</a>[] presences = <span class="keyword">new</span> <a class="code" href="interfaceGoogle_1_1OrTools_1_1Sat_1_1ILiteral.html">ILiteral</a>[num_tasks];</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html">IntVar</a>[] ranks = <span class="keyword">new</span> <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html">IntVar</a>[num_tasks];</div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  </div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html">IntVar</a> true_var = model.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a679cc01b7a15c484f579e813cd57f3f9">NewConstant</a>(1);</div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  </div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="comment">// Creates intervals, half of them are optional.</span></div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> t = 0; t < num_tasks; ++t) {</div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  starts[t] = model.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a8b4b0deaf8d98967ba3dd1e6cfd415f7">NewIntVar</a>(0, horizon, String.Format(<span class="stringliteral">"start_{0}"</span>, t));</div>
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<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <span class="keywordtype">int</span> duration = t + 1;</div>
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<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  ends[t] = model.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a8b4b0deaf8d98967ba3dd1e6cfd415f7">NewIntVar</a>(0, horizon, String.Format(<span class="stringliteral">"end_{0}"</span>, t));</div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="keywordflow">if</span> (t < num_tasks / 2) {</div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  intervals[t] = model.NewIntervalVar(starts[t], duration, ends[t],</div>
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<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  String.Format(<span class="stringliteral">"interval_{0}"</span>, t));</div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  presences[t] = true_var;</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  presences[t] = model.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a1f984ad05d2bb0a8df1354e8330f7ad1">NewBoolVar</a>(String.Format(<span class="stringliteral">"presence_{0}"</span>, t));</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  intervals[t] = model.NewOptionalIntervalVar(</div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  starts[t], duration, ends[t], presences[t],</div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  String.Format(<span class="stringliteral">"o_interval_{0}"</span>, t));</div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  }</div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  </div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="comment">// Ranks = -1 if and only if the tasks is not performed.</span></div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  ranks[t] =</div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  model.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a8b4b0deaf8d98967ba3dd1e6cfd415f7">NewIntVar</a>(-1, num_tasks - 1, String.Format(<span class="stringliteral">"rank_{0}"</span>, t));</div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  }</div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  </div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <span class="comment">// Adds NoOverlap constraint.</span></div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  model.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a4ea29ec227db7e9df9f883a55e80a140">AddNoOverlap</a>(intervals);</div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  </div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="comment">// Adds ranking constraint.</span></div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  RankTasks(model, starts, presences, ranks);</div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  </div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="comment">// Adds a constraint on ranks.</span></div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  model.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#aeae42d5e9a6a0fc4a0b12ed903c071a6">Add</a>(ranks[0] < ranks[1]);</div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  </div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="comment">// Creates makespan variable.</span></div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html">IntVar</a> makespan = model.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a8b4b0deaf8d98967ba3dd1e6cfd415f7">NewIntVar</a>(0, horizon, <span class="stringliteral">"makespan"</span>);</div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> t = 0; t < num_tasks; ++t) {</div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  model.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#aeae42d5e9a6a0fc4a0b12ed903c071a6">Add</a>(ends[t] <= makespan).<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1Constraint.html#a522f9914657da8db5752d617a695e57c">OnlyEnforceIf</a>(presences[t]);</div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  }</div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="comment">// Minimizes makespan - fixed gain per tasks performed.</span></div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="comment">// As the fixed cost is less that the duration of the last interval,</span></div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="comment">// the solver will not perform the last interval.</span></div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html">IntVar</a>[] presences_as_int_vars = <span class="keyword">new</span> <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html">IntVar</a>[num_tasks];</div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> t = 0; t < num_tasks; ++t) {</div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  presences_as_int_vars[t] = (<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html">IntVar</a>)presences[t];</div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  }</div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  model.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a0d9c6e33da8986046eff9d1b4f3296da">Minimize</a>(2 * makespan - 7 * <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1LinearExpr.html">LinearExpr</a>.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1LinearExpr.html#ad6377305c1e2b1c9e5c237173fa954db">Sum</a>(presences_as_int_vars));</div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  </div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="comment">// Creates a solver and solves the model.</span></div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html">CpSolver</a> solver = <span class="keyword">new</span> <a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html">CpSolver</a>();</div>
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<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  CpSolverStatus status = solver.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#abe80e94b5386fe6134ecf071aec60d2e">Solve</a>(model);</div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  </div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keywordflow">if</span> (status == CpSolverStatus.Optimal) {</div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  Console.WriteLine(String.Format(<span class="stringliteral">"Optimal cost: {0}"</span>,</div>
|
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<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  solver.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#ac19032d74d32aeb97d7517e36b518e8a">ObjectiveValue</a>));</div>
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<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  Console.WriteLine(String.Format(<span class="stringliteral">"Makespan: {0}"</span>, solver.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#a58c7ab0674a3f3f5a2b357e0d1b01396">Value</a>(makespan)));</div>
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<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> t = 0; t < num_tasks; ++t) {</div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="keywordflow">if</span> (solver.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#ad1a16b003a5787cac15578a01779a8d2">BooleanValue</a>(presences[t])) {</div>
|
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  Console.WriteLine(String.Format(</div>
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<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="stringliteral">"Task {0} starts at {1} with rank {2}"</span>,</div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  t, solver.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#a58c7ab0674a3f3f5a2b357e0d1b01396">Value</a>(starts[t]), solver.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#a58c7ab0674a3f3f5a2b357e0d1b01396">Value</a>(ranks[t])));</div>
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<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  } <span class="keywordflow">else</span> {</div>
|
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<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  Console.WriteLine(String.Format(</div>
|
|
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="stringliteral">"Task {0} in not performed and ranked at {1}"</span>, t,</div>
|
|
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  solver.<a class="code" href="classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#a58c7ab0674a3f3f5a2b357e0d1b01396">Value</a>(ranks[t])));</div>
|
|
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  }</div>
|
|
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  }</div>
|
|
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  } <span class="keywordflow">else</span> {</div>
|
|
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  Console.WriteLine(</div>
|
|
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  String.Format(<span class="stringliteral">"Solver exited with nonoptimal status: {0}"</span>, status));</div>
|
|
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  }</div>
|
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<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  }</div>
|
|
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span> }</div>
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</div><!-- fragment --></div><!-- contents -->
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1Sat_1_1CpModel_html"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html">Google.OrTools::Sat.CpModel</a></div><div class="ttdoc">Wrapper class around the cp_model proto.</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8cs_source.html#l00023">CpModel.cs:23</a></div></div>
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<div class="ttc" id="aclassRankingSampleSat_html"><div class="ttname"><a href="classRankingSampleSat.html">RankingSampleSat</a></div><div class="ttdef"><b>Definition:</b> <a href="RankingSampleSat_8cs_source.html#l00018">RankingSampleSat.cs:18</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1Sat_1_1CpSolver_html_ad1a16b003a5787cac15578a01779a8d2"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#ad1a16b003a5787cac15578a01779a8d2">Google.OrTools::Sat.CpSolver.BooleanValue</a></div><div class="ttdeci">Boolean BooleanValue(ILiteral literal)</div><div class="ttdef"><b>Definition:</b> <a href="CpSolver_8cs_source.html#l00152">CpSolver.cs:152</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1Sat_1_1Constraint_html_a522f9914657da8db5752d617a695e57c"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1Sat_1_1Constraint.html#a522f9914657da8db5752d617a695e57c">Google.OrTools::Sat.Constraint.OnlyEnforceIf</a></div><div class="ttdeci">void OnlyEnforceIf(ILiteral lit)</div><div class="ttdef"><b>Definition:</b> <a href="Constraints_8cs_source.html#l00028">Constraints.cs:28</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1Sat_1_1CpModel_html_a0d9c6e33da8986046eff9d1b4f3296da"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a0d9c6e33da8986046eff9d1b4f3296da">Google.OrTools::Sat.CpModel.Minimize</a></div><div class="ttdeci">void Minimize(LinearExpr obj)</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8cs_source.html#l00588">CpModel.cs:588</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1Sat_1_1CpModel_html_a679cc01b7a15c484f579e813cd57f3f9"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a679cc01b7a15c484f579e813cd57f3f9">Google.OrTools::Sat.CpModel.NewConstant</a></div><div class="ttdeci">IntVar NewConstant(long value)</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8cs_source.html#l00057">CpModel.cs:57</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1Sat_1_1IntVar_html"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1Sat_1_1IntVar.html">Google.OrTools::Sat.IntVar</a></div><div class="ttdef"><b>Definition:</b> <a href="IntegerExpressions_8cs_source.html#l00497">IntegerExpressions.cs:497</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1Sat_1_1CpModel_html_a88009e45e2fe67ce5be90085ea8d0950"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a88009e45e2fe67ce5be90085ea8d0950">Google.OrTools::Sat.CpModel.AddImplication</a></div><div class="ttdeci">Constraint AddImplication(ILiteral a, ILiteral b)</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8cs_source.html#l00395">CpModel.cs:395</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1Sat_1_1CpModel_html_a4ea29ec227db7e9df9f883a55e80a140"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a4ea29ec227db7e9df9f883a55e80a140">Google.OrTools::Sat.CpModel.AddNoOverlap</a></div><div class="ttdeci">Constraint AddNoOverlap(IEnumerable< IntervalVar > intervals)</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8cs_source.html#l00538">CpModel.cs:538</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1Sat_1_1LinearExpr_html_ad6377305c1e2b1c9e5c237173fa954db"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1Sat_1_1LinearExpr.html#ad6377305c1e2b1c9e5c237173fa954db">Google.OrTools::Sat.LinearExpr.Sum</a></div><div class="ttdeci">static LinearExpr Sum(IEnumerable< IntVar > vars)</div><div class="ttdef"><b>Definition:</b> <a href="IntegerExpressions_8cs_source.html#l00052">IntegerExpressions.cs:52</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1Sat_1_1CpModel_html_a8fe674a2bfe3d1007b4253c354ee3c70"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a8fe674a2bfe3d1007b4253c354ee3c70">Google.OrTools::Sat.CpModel.AddBoolOr</a></div><div class="ttdeci">Constraint AddBoolOr(IEnumerable< ILiteral > literals)</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8cs_source.html#l00405">CpModel.cs:405</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="algorithms_2Int64Vector_8cs_source.html#l00011">algorithms/Int64Vector.cs:11</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1Sat_1_1LinearExpr_html"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1Sat_1_1LinearExpr.html">Google.OrTools::Sat.LinearExpr</a></div><div class="ttdef"><b>Definition:</b> <a href="IntegerExpressions_8cs_source.html#l00049">IntegerExpressions.cs:49</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1Sat_1_1CpModel_html_a8b4b0deaf8d98967ba3dd1e6cfd415f7"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a8b4b0deaf8d98967ba3dd1e6cfd415f7">Google.OrTools::Sat.CpModel.NewIntVar</a></div><div class="ttdeci">IntVar NewIntVar(long lb, long ub, string name)</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8cs_source.html#l00045">CpModel.cs:45</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1Sat_1_1CpModel_html_aeae42d5e9a6a0fc4a0b12ed903c071a6"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#aeae42d5e9a6a0fc4a0b12ed903c071a6">Google.OrTools::Sat.CpModel.Add</a></div><div class="ttdeci">Constraint Add(BoundedLinearExpression lin)</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8cs_source.html#l00104">CpModel.cs:104</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1Sat_1_1CpSolver_html_ac19032d74d32aeb97d7517e36b518e8a"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#ac19032d74d32aeb97d7517e36b518e8a">Google.OrTools::Sat.CpSolver.ObjectiveValue</a></div><div class="ttdeci">double ObjectiveValue</div><div class="ttdef"><b>Definition:</b> <a href="CpSolver_8cs_source.html#l00076">CpSolver.cs:76</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1Sat_1_1CpSolver_html_abe80e94b5386fe6134ecf071aec60d2e"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#abe80e94b5386fe6134ecf071aec60d2e">Google.OrTools::Sat.CpSolver.Solve</a></div><div class="ttdeci">CpSolverStatus Solve(CpModel model)</div><div class="ttdef"><b>Definition:</b> <a href="CpSolver_8cs_source.html#l00022">CpSolver.cs:22</a></div></div>
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<div class="ttc" id="ainterfaceGoogle_1_1OrTools_1_1Sat_1_1ILiteral_html"><div class="ttname"><a href="interfaceGoogle_1_1OrTools_1_1Sat_1_1ILiteral.html">Google.OrTools::Sat.ILiteral</a></div><div class="ttdef"><b>Definition:</b> <a href="IntegerExpressions_8cs_source.html#l00042">IntegerExpressions.cs:42</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="algorithms_2Int64Vector_8cs_source.html#l00011">algorithms/Int64Vector.cs:11</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1Sat_1_1IntervalVar_html"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1Sat_1_1IntervalVar.html">Google.OrTools::Sat.IntervalVar</a></div><div class="ttdef"><b>Definition:</b> <a href="IntervalVariables_8cs_source.html#l00019">IntervalVariables.cs:19</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1Sat_1_1CpSolver_html"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html">Google.OrTools::Sat.CpSolver</a></div><div class="ttdef"><b>Definition:</b> <a href="CpSolver_8cs_source.html#l00019">CpSolver.cs:19</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1Sat_1_1CpSolver_html_a58c7ab0674a3f3f5a2b357e0d1b01396"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1Sat_1_1CpSolver.html#a58c7ab0674a3f3f5a2b357e0d1b01396">Google.OrTools::Sat.CpSolver.Value</a></div><div class="ttdeci">long Value(LinearExpr e)</div><div class="ttdef"><b>Definition:</b> <a href="CpSolver_8cs_source.html#l00096">CpSolver.cs:96</a></div></div>
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<div class="ttc" id="aclassGoogle_1_1OrTools_1_1Sat_1_1CpModel_html_a1f984ad05d2bb0a8df1354e8330f7ad1"><div class="ttname"><a href="classGoogle_1_1OrTools_1_1Sat_1_1CpModel.html#a1f984ad05d2bb0a8df1354e8330f7ad1">Google.OrTools::Sat.CpModel.NewBoolVar</a></div><div class="ttdeci">IntVar NewBoolVar(string name)</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8cs_source.html#l00067">CpModel.cs:67</a></div></div>
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<div class="ttc" id="anamespaceGoogle_1_1OrTools_1_1Sat_html"><div class="ttname"><a href="namespaceGoogle_1_1OrTools_1_1Sat.html">Google.OrTools::Sat</a></div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8pb_8cs_source.html#l00012">CpModel.pb.cs:12</a></div></div>
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