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<a href="RankingSampleSat_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="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_1sat.html">sat</a>.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html">CpModel</a>;</div><div class="line"><a name="l00015"></a><span class="lineno"> 15</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_1sat.html">sat</a>.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpSolver.html">CpSolver</a>;</div><div class="line"><a name="l00016"></a><span class="lineno"> 16</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_1sat.html">sat</a>.<a class="code" href="enumcom_1_1google_1_1ortools_1_1sat_1_1CpSolverStatus.html">CpSolverStatus</a>;</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_1sat.html">sat</a>.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1IntVar.html">IntVar</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_1sat.html">sat</a>.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1IntervalVar.html">IntervalVar</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_1sat.html">sat</a>.<a class="code" href="interfacecom_1_1google_1_1ortools_1_1sat_1_1LinearExpr.html">LinearExpr</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_1sat.html">sat</a>.<a class="code" href="interfacecom_1_1google_1_1ortools_1_1sat_1_1Literal.html">Literal</a>;</div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="keyword">import</span> java.util.ArrayList;</div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="keyword">import</span> java.util.List;</div><div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160;</div><div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="classRankingSampleSat.html"> 25</a></span>&#160;<span class="keyword">public</span> <span class="keyword">class </span><a class="code" href="classRankingSampleSat.html">RankingSampleSat</a> {</div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; <span class="keyword">static</span> {</div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; System.loadLibrary(<span class="stringliteral">&quot;jniortools&quot;</span>);</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"> 29</span>&#160;</div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; <span class="keyword">static</span> <span class="keywordtype">void</span> rankTasks(<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html">CpModel</a> model, <a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1IntVar.html">IntVar</a>[] starts, <a class="code" href="interfacecom_1_1google_1_1ortools_1_1sat_1_1Literal.html">Literal</a>[] presences, <a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1IntVar.html">IntVar</a>[] ranks) {</div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <span class="keywordtype">int</span> numTasks = starts.length;</div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;</div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="comment">// Creates precedence variables between pairs of intervals.</span></div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; <a class="code" href="interfacecom_1_1google_1_1ortools_1_1sat_1_1Literal.html">Literal</a>[][] precedences = <span class="keyword">new</span> <a class="code" href="interfacecom_1_1google_1_1ortools_1_1sat_1_1Literal.html">Literal</a>[numTasks][numTasks];</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; numTasks; ++i) {</div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; numTasks; ++j) {</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; <span class="keywordflow">if</span> (i == j) {</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; precedences[i][i] = presences[i];</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; <a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1IntVar.html">IntVar</a> prec = model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#a08ef439d15caa1e1a1a713d20edaa8a6">newBoolVar</a>(String.format(<span class="stringliteral">&quot;%d before %d&quot;</span>, i, j));</div><div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; precedences[i][j] = prec;</div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; <span class="comment">// Ensure that task i precedes task j if prec is true.</span></div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#ac453c4f4aa0bcbc76c722a077cf9be29">addLessOrEqualWithOffset</a>(starts[i], starts[j], 1).<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1Constraint.html#ac86aa1f6eb0c1e93c11162475c1b39f8">onlyEnforceIf</a>(prec);</div><div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; }</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; }</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; }</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; <span class="comment">// Create optional intervals.</span></div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; numTasks - 1; ++i) {</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = i + 1; j &lt; numTasks; ++j) {</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; List&lt;Literal&gt; list = <span class="keyword">new</span> ArrayList&lt;&gt;();</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; list.add(precedences[i][j]);</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; list.add(precedences[j][i]);</div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; list.add(presences[i].not());</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="comment">// Makes sure that if i is not performed, all precedences are false.</span></div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#ae228690295f8e4470448e59f1bd34526">addImplication</a>(presences[i].not(), precedences[i][j].not());</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#ae228690295f8e4470448e59f1bd34526">addImplication</a>(presences[i].not(), precedences[j][i].not());</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; list.add(presences[j].not());</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <span class="comment">// Makes sure that if j is not performed, all precedences are false.</span></div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#ae228690295f8e4470448e59f1bd34526">addImplication</a>(presences[j].not(), precedences[i][j].not());</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#ae228690295f8e4470448e59f1bd34526">addImplication</a>(presences[j].not(), precedences[j][i].not());</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; <span class="comment">// The following boolOr will enforce that for any two intervals:</span></div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; <span class="comment">// i precedes j or j precedes i or at least one interval is not</span></div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; <span class="comment">// performed.</span></div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#afb3a94ce7b9e5305fef733b6932b6251">addBoolOr</a>(list.toArray(<span class="keyword">new</span> <a class="code" href="interfacecom_1_1google_1_1ortools_1_1sat_1_1Literal.html">Literal</a>[0]));</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; <span class="comment">// For efficiency, we add a redundant constraint declaring that only one of i precedes j and</span></div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; <span class="comment">// j precedes i are true. This will speed up the solve because the reason of this</span></div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <span class="comment">// propagation is shorter that using interval bounds is true.</span></div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#ae228690295f8e4470448e59f1bd34526">addImplication</a>(precedences[i][j], precedences[j][i].not());</div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#ae228690295f8e4470448e59f1bd34526">addImplication</a>(precedences[j][i], precedences[i][j].not());</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160; }</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;</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; <span class="comment">// Links precedences and ranks.</span></div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; numTasks; ++i) {</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; <a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1IntVar.html">IntVar</a>[] vars = <span class="keyword">new</span> <a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1IntVar.html">IntVar</a>[numTasks + 1];</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="keywordtype">int</span>[] coefs = <span class="keyword">new</span> <span class="keywordtype">int</span>[numTasks + 1];</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; numTasks; ++j) {</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160; vars[j] = (<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1IntVar.html">IntVar</a>) precedences[j][i];</div><div class="line"><a name="l00088"></a><span class="lineno"> 88</span>&#160; coefs[j] = 1;</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; vars[numTasks] = ranks[i];</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; coefs[numTasks] = -1;</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160; <span class="comment">// ranks == sum(precedences) - 1;</span></div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#a0868f8bc35ae63fb326d569e50df1dea">addEquality</a>(<a class="code" href="interfacecom_1_1google_1_1ortools_1_1sat_1_1LinearExpr.html">LinearExpr</a>.<a class="code" href="interfacecom_1_1google_1_1ortools_1_1sat_1_1LinearExpr.html#a3d9212f8954f9eab6a2c29fd7d5155cc">scalProd</a>(vars, coefs), 1);</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160; }</div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160; }</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"><a class="line" href="classRankingSampleSat.html#a06e775d6535b4a4e69b2b45361c53fab"> 97</a></span>&#160; <span class="keyword">public</span> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classRankingSampleSat.html#a06e775d6535b4a4e69b2b45361c53fab">main</a>(String[] args) <span class="keywordflow">throws</span> Exception {</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; <a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html">CpModel</a> model = <span class="keyword">new</span> <a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html">CpModel</a>();</div><div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; <span class="keywordtype">int</span> horizon = 100;</div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; <span class="keywordtype">int</span> numTasks = 4;</div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160;</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; <a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1IntVar.html">IntVar</a>[] starts = <span class="keyword">new</span> <a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1IntVar.html">IntVar</a>[numTasks];</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; <a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1IntVar.html">IntVar</a>[] ends = <span class="keyword">new</span> <a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1IntVar.html">IntVar</a>[numTasks];</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; <a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1IntervalVar.html">IntervalVar</a>[] intervals = <span class="keyword">new</span> <a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1IntervalVar.html">IntervalVar</a>[numTasks];</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; <a class="code" href="interfacecom_1_1google_1_1ortools_1_1sat_1_1Literal.html">Literal</a>[] presences = <span class="keyword">new</span> <a class="code" href="interfacecom_1_1google_1_1ortools_1_1sat_1_1Literal.html">Literal</a>[numTasks];</div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; <a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1IntVar.html">IntVar</a>[] ranks = <span class="keyword">new</span> <a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1IntVar.html">IntVar</a>[numTasks];</div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160;</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; <a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1IntVar.html">IntVar</a> trueVar = model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#a0c289036d8b156ecb62ef7267405db0d">newConstant</a>(1);</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160;</div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; <span class="comment">// Creates intervals, half of them are optional.</span></div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> t = 0; t &lt; numTasks; ++t) {</div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; starts[t] = model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#a78e6aa0bcdec9be8fc0d39c46b94d851">newIntVar</a>(0, horizon, <span class="stringliteral">&quot;start_&quot;</span> + t);</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; <span class="keywordtype">int</span> duration = t + 1;</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; ends[t] = model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#a78e6aa0bcdec9be8fc0d39c46b94d851">newIntVar</a>(0, horizon, <span class="stringliteral">&quot;end_&quot;</span> + t);</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; <span class="keywordflow">if</span> (t &lt; numTasks / 2) {</div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; intervals[t] = model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#a395b162ec07e48a0d47edeafb2c7321b">newIntervalVar</a>(starts[t], duration, ends[t], <span class="stringliteral">&quot;interval_&quot;</span> + t);</div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; presences[t] = trueVar;</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; presences[t] = model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#a08ef439d15caa1e1a1a713d20edaa8a6">newBoolVar</a>(<span class="stringliteral">&quot;presence_&quot;</span> + t);</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; intervals[t] = model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#ae1919b96b22900f07543be2da12d0b98">newOptionalIntervalVar</a>(</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; starts[t], duration, ends[t], presences[t], <span class="stringliteral">&quot;o_interval_&quot;</span> + t);</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; }</div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160;</div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160; <span class="comment">// The rank will be -1 iff the task is not performed.</span></div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160; ranks[t] = model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#a78e6aa0bcdec9be8fc0d39c46b94d851">newIntVar</a>(-1, numTasks - 1, <span class="stringliteral">&quot;rank_&quot;</span> + t);</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160; }</div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160;</div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160; <span class="comment">// Adds NoOverlap constraint.</span></div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#aca638ff421526587c58a878229cecfe3">addNoOverlap</a>(intervals);</div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160;</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; <span class="comment">// Adds ranking constraint.</span></div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160; rankTasks(model, starts, presences, ranks);</div><div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160;</div><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; <span class="comment">// Adds a constraint on ranks (ranks[0] &lt; ranks[1]).</span></div><div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#ac453c4f4aa0bcbc76c722a077cf9be29">addLessOrEqualWithOffset</a>(ranks[0], ranks[1], 1);</div><div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160;</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; <span class="comment">// Creates makespan variable.</span></div><div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; <a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1IntVar.html">IntVar</a> makespan = model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#a78e6aa0bcdec9be8fc0d39c46b94d851">newIntVar</a>(0, horizon, <span class="stringliteral">&quot;makespan&quot;</span>);</div><div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> t = 0; t &lt; numTasks; ++t) {</div><div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#aa6ca2dd3953a03ee98a2e9d3a21b128d">addLessOrEqual</a>(ends[t], makespan).<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1Constraint.html#ac86aa1f6eb0c1e93c11162475c1b39f8">onlyEnforceIf</a>(presences[t]);</div><div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; }</div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160; <span class="comment">// The objective function is a mix of a fixed gain per task performed, and a fixed cost for each</span></div><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; <span class="comment">// additional day of activity.</span></div><div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; <span class="comment">// The solver will balance both cost and gain and minimize makespan * per-day-penalty - number</span></div><div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; <span class="comment">// of tasks performed * per-task-gain.</span></div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; <span class="comment">//</span></div><div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; <span class="comment">// On this problem, as the fixed cost is less that the duration of the last interval, the solver</span></div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; <span class="comment">// will not perform the last interval.</span></div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; <a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1IntVar.html">IntVar</a>[] objectiveVars = <span class="keyword">new</span> <a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1IntVar.html">IntVar</a>[numTasks + 1];</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; <span class="keywordtype">int</span>[] objectiveCoefs = <span class="keyword">new</span> <span class="keywordtype">int</span>[numTasks + 1];</div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> t = 0; t &lt; numTasks; ++t) {</div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; objectiveVars[t] = (<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1IntVar.html">IntVar</a>) presences[t];</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; objectiveCoefs[t] = -7;</div><div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; }</div><div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; objectiveVars[numTasks] = makespan;</div><div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160; objectiveCoefs[numTasks] = 2;</div><div class="line"><a name="l00157"></a><span class="lineno"> 157</span>&#160; model.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#af8d23febec663c6e482791233f417df4">minimize</a>(<a class="code" href="interfacecom_1_1google_1_1ortools_1_1sat_1_1LinearExpr.html">LinearExpr</a>.<a class="code" href="interfacecom_1_1google_1_1ortools_1_1sat_1_1LinearExpr.html#a3d9212f8954f9eab6a2c29fd7d5155cc">scalProd</a>(objectiveVars, objectiveCoefs));</div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160;</div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160; <span class="comment">// Creates a solver and solves the model.</span></div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; <a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpSolver.html">CpSolver</a> solver = <span class="keyword">new</span> <a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpSolver.html">CpSolver</a>();</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; <a class="code" href="enumcom_1_1google_1_1ortools_1_1sat_1_1CpSolverStatus.html">CpSolverStatus</a> status = solver.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpSolver.html#aad90759e27de74339bfb97c3f31bc509">solve</a>(model);</div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160;</div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160; <span class="keywordflow">if</span> (status == <a class="code" href="enumcom_1_1google_1_1ortools_1_1sat_1_1CpSolverStatus.html">CpSolverStatus</a>.<a class="code" href="enumcom_1_1google_1_1ortools_1_1sat_1_1CpSolverStatus.html#af0c586bfb4b5c079c8f94fde2c878337">OPTIMAL</a>) {</div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160; System.out.println(<span class="stringliteral">&quot;Optimal cost: &quot;</span> + solver.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpSolver.html#a9b7c07281602ed5206bf5eb7f57bd063">objectiveValue</a>());</div><div class="line"><a name="l00165"></a><span class="lineno"> 165</span>&#160; System.out.println(<span class="stringliteral">&quot;Makespan: &quot;</span> + solver.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpSolver.html#afec653ca08cdff3ec58642c199bbdb55">value</a>(makespan));</div><div class="line"><a name="l00166"></a><span class="lineno"> 166</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> t = 0; t &lt; numTasks; ++t) {</div><div class="line"><a name="l00167"></a><span class="lineno"> 167</span>&#160; <span class="keywordflow">if</span> (solver.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpSolver.html#a7c3c5dc674530a7989b0fdf3bf1af90a">booleanValue</a>(presences[t])) {</div><div class="line"><a name="l00168"></a><span class="lineno"> 168</span>&#160; System.out.printf(<span class="stringliteral">&quot;Task %d starts at %d with rank %d%n&quot;</span>, t, solver.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpSolver.html#afec653ca08cdff3ec58642c199bbdb55">value</a>(starts[t]),</div><div class="line"><a name="l00169"></a><span class="lineno"> 169</span>&#160; solver.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpSolver.html#afec653ca08cdff3ec58642c199bbdb55">value</a>(ranks[t]));</div><div class="line"><a name="l00170"></a><span class="lineno"> 170</span>&#160; } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00171"></a><span class="lineno"> 171</span>&#160; System.out.printf(</div><div class="line"><a name="l00172"></a><span class="lineno"> 172</span>&#160; <span class="stringliteral">&quot;Task %d in not performed and ranked at %d%n&quot;</span>, t, solver.<a class="code" href="classcom_1_1google_1_1ortools_1_1sat_1_1CpSolver.html#afec653ca08cdff3ec58642c199bbdb55">value</a>(ranks[t]));</div><div class="line"><a name="l00173"></a><span class="lineno"> 173</span>&#160; }</div><div class="line"><a name="l00174"></a><span class="lineno"> 174</span>&#160; }</div><div class="line"><a name="l00175"></a><span class="lineno"> 175</span>&#160; } <span class="keywordflow">else</span> {</div><div class="line"><a name="l00176"></a><span class="lineno"> 176</span>&#160; System.out.println(<span class="stringliteral">&quot;Solver exited with nonoptimal status: &quot;</span> + status);</div><div class="line"><a name="l00177"></a><span class="lineno"> 177</span>&#160; }</div><div class="line"><a name="l00178"></a><span class="lineno"> 178</span>&#160; }</div><div class="line"><a name="l00179"></a><span class="lineno"> 179</span>&#160;}</div><div class="ttc" id="namespacecom_1_1google_1_1ortools_1_1sat_html"><div class="ttname"><a href="namespacecom_1_1google_1_1ortools_1_1sat.html">com.google.ortools.sat</a></div><div class="ttdef"><b>Definition:</b> <a href="AllDifferentConstraintProto_8java_source.html#l00004">AllDifferentConstraintProto.java:4</a></div></div>
<div class="ttc" id="interfacecom_1_1google_1_1ortools_1_1sat_1_1LinearExpr_html"><div class="ttname"><a href="interfacecom_1_1google_1_1ortools_1_1sat_1_1LinearExpr.html">com.google.ortools.sat.LinearExpr</a></div><div class="ttdoc">A linear expression interface that can be parsed.</div><div class="ttdef"><b>Definition:</b> <a href="LinearExpr_8java_source.html#l00017">LinearExpr.java:17</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1sat_1_1Constraint_html_ac86aa1f6eb0c1e93c11162475c1b39f8"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1sat_1_1Constraint.html#ac86aa1f6eb0c1e93c11162475c1b39f8">com.google.ortools.sat.Constraint.onlyEnforceIf</a></div><div class="ttdeci">void onlyEnforceIf(Literal lit)</div><div class="ttdoc">Adds a literal to the constraint.</div><div class="ttdef"><b>Definition:</b> <a href="com_2google_2ortools_2sat_2Constraint_8java_source.html#l00032">com/google/ortools/sat/Constraint.java:32</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel_html_a0868f8bc35ae63fb326d569e50df1dea"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#a0868f8bc35ae63fb326d569e50df1dea">com.google.ortools.sat.CpModel.addEquality</a></div><div class="ttdeci">Constraint addEquality(LinearExpr expr, long value)</div><div class="ttdoc">Adds.</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8java_source.html#l00153">CpModel.java:153</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel_html_aca638ff421526587c58a878229cecfe3"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#aca638ff421526587c58a878229cecfe3">com.google.ortools.sat.CpModel.addNoOverlap</a></div><div class="ttdeci">Constraint addNoOverlap(IntervalVar[] intervalVars)</div><div class="ttdoc">Adds.</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8java_source.html#l00823">CpModel.java:823</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel_html_a0c289036d8b156ecb62ef7267405db0d"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#a0c289036d8b156ecb62ef7267405db0d">com.google.ortools.sat.CpModel.newConstant</a></div><div class="ttdeci">IntVar newConstant(long value)</div><div class="ttdoc">Creates a constant variable.</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8java_source.html#l00090">CpModel.java:90</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1sat_1_1CpSolver_html"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1sat_1_1CpSolver.html">com.google.ortools.sat.CpSolver</a></div><div class="ttdoc">Wrapper around the SAT solver.</div><div class="ttdef"><b>Definition:</b> <a href="CpSolver_8java_source.html#l00026">CpSolver.java:26</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel_html_a78e6aa0bcdec9be8fc0d39c46b94d851"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#a78e6aa0bcdec9be8fc0d39c46b94d851">com.google.ortools.sat.CpModel.newIntVar</a></div><div class="ttdeci">IntVar newIntVar(long lb, long ub, String name)</div><div class="ttdoc">Creates an integer variable with domain [lb, ub].</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8java_source.html#l00069">CpModel.java:69</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1sat_1_1CpSolver_html_a9b7c07281602ed5206bf5eb7f57bd063"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1sat_1_1CpSolver.html#a9b7c07281602ed5206bf5eb7f57bd063">com.google.ortools.sat.CpSolver.objectiveValue</a></div><div class="ttdeci">double objectiveValue()</div><div class="ttdoc">Returns the best objective value found during search.</div><div class="ttdef"><b>Definition:</b> <a href="CpSolver_8java_source.html#l00066">CpSolver.java:66</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_1sat_1_1IntervalVar_html"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1sat_1_1IntervalVar.html">com.google.ortools.sat.IntervalVar</a></div><div class="ttdoc">An interval variable.</div><div class="ttdef"><b>Definition:</b> <a href="com_2google_2ortools_2sat_2IntervalVar_8java_source.html#l00021">com/google/ortools/sat/IntervalVar.java:21</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel_html_afb3a94ce7b9e5305fef733b6932b6251"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#afb3a94ce7b9e5305fef733b6932b6251">com.google.ortools.sat.CpModel.addBoolOr</a></div><div class="ttdeci">Constraint addBoolOr(Literal[] literals)</div><div class="ttdoc">Adds.</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8java_source.html#l00097">CpModel.java:97</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel_html_a08ef439d15caa1e1a1a713d20edaa8a6"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#a08ef439d15caa1e1a1a713d20edaa8a6">com.google.ortools.sat.CpModel.newBoolVar</a></div><div class="ttdeci">IntVar newBoolVar(String name)</div><div class="ttdoc">Creates a Boolean variable with the given name.</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8java_source.html#l00085">CpModel.java:85</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1sat_1_1CpSolver_html_afec653ca08cdff3ec58642c199bbdb55"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1sat_1_1CpSolver.html#afec653ca08cdff3ec58642c199bbdb55">com.google.ortools.sat.CpSolver.value</a></div><div class="ttdeci">long value(IntVar var)</div><div class="ttdoc">Returns the value of a variable in the last solution found.</div><div class="ttdef"><b>Definition:</b> <a href="CpSolver_8java_source.html#l00079">CpSolver.java:79</a></div></div>
<div class="ttc" id="enumcom_1_1google_1_1ortools_1_1sat_1_1CpSolverStatus_html"><div class="ttname"><a href="enumcom_1_1google_1_1ortools_1_1sat_1_1CpSolverStatus.html">com.google.ortools.sat.CpSolverStatus</a></div><div class="ttdef"><b>Definition:</b> <a href="CpSolverStatus_8java_source.html#l00013">CpSolverStatus.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_1sat_1_1CpModel_html_ac453c4f4aa0bcbc76c722a077cf9be29"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#ac453c4f4aa0bcbc76c722a077cf9be29">com.google.ortools.sat.CpModel.addLessOrEqualWithOffset</a></div><div class="ttdeci">Constraint addLessOrEqualWithOffset(LinearExpr left, LinearExpr right, long offset)</div><div class="ttdoc">Adds.</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8java_source.html#l00188">CpModel.java:188</a></div></div>
<div class="ttc" id="classRankingSampleSat_html"><div class="ttname"><a href="classRankingSampleSat.html">RankingSampleSat</a></div><div class="ttdoc">Code sample to demonstrates how to rank intervals.</div><div class="ttdef"><b>Definition:</b> <a href="RankingSampleSat_8java_source.html#l00025">RankingSampleSat.java:25</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1sat_1_1IntVar_html"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1sat_1_1IntVar.html">com.google.ortools.sat.IntVar</a></div><div class="ttdoc">An integer variable.</div><div class="ttdef"><b>Definition:</b> <a href="com_2google_2ortools_2sat_2IntVar_8java_source.html#l00021">com/google/ortools/sat/IntVar.java:21</a></div></div>
<div class="ttc" id="interfacecom_1_1google_1_1ortools_1_1sat_1_1Literal_html"><div class="ttname"><a href="interfacecom_1_1google_1_1ortools_1_1sat_1_1Literal.html">com.google.ortools.sat.Literal</a></div><div class="ttdoc">Interface to describe a boolean variable or its negation.</div><div class="ttdef"><b>Definition:</b> <a href="Literal_8java_source.html#l00017">Literal.java:17</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1sat_1_1CpSolver_html_a7c3c5dc674530a7989b0fdf3bf1af90a"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1sat_1_1CpSolver.html#a7c3c5dc674530a7989b0fdf3bf1af90a">com.google.ortools.sat.CpSolver.booleanValue</a></div><div class="ttdeci">Boolean booleanValue(Literal var)</div><div class="ttdoc">Returns the Boolean value of a literal in the last solution found.</div><div class="ttdef"><b>Definition:</b> <a href="CpSolver_8java_source.html#l00084">CpSolver.java:84</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel_html"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html">com.google.ortools.sat.CpModel</a></div><div class="ttdoc">Main modeling class.</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8java_source.html#l00040">CpModel.java:40</a></div></div>
<div class="ttc" id="interfacecom_1_1google_1_1ortools_1_1sat_1_1LinearExpr_html_a3d9212f8954f9eab6a2c29fd7d5155cc"><div class="ttname"><a href="interfacecom_1_1google_1_1ortools_1_1sat_1_1LinearExpr.html#a3d9212f8954f9eab6a2c29fd7d5155cc">com.google.ortools.sat.LinearExpr.scalProd</a></div><div class="ttdeci">static LinearExpr scalProd(IntVar[] variables, long[] coefficients)</div><div class="ttdoc">Creates a scalar product.</div><div class="ttdef"><b>Definition:</b> <a href="LinearExpr_8java_source.html#l00033">LinearExpr.java:33</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel_html_af8d23febec663c6e482791233f417df4"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#af8d23febec663c6e482791233f417df4">com.google.ortools.sat.CpModel.minimize</a></div><div class="ttdeci">void minimize(LinearExpr expr)</div><div class="ttdoc">Adds a minimization objective of a linear expression.</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8java_source.html#l00958">CpModel.java:958</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel_html_a395b162ec07e48a0d47edeafb2c7321b"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#a395b162ec07e48a0d47edeafb2c7321b">com.google.ortools.sat.CpModel.newIntervalVar</a></div><div class="ttdeci">IntervalVar newIntervalVar(IntVar start, IntVar size, IntVar end, String name)</div><div class="ttdoc">Creates an interval variable from start, size, and end.</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8java_source.html#l00712">CpModel.java:712</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel_html_aa6ca2dd3953a03ee98a2e9d3a21b128d"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#aa6ca2dd3953a03ee98a2e9d3a21b128d">com.google.ortools.sat.CpModel.addLessOrEqual</a></div><div class="ttdeci">Constraint addLessOrEqual(LinearExpr expr, long value)</div><div class="ttdoc">Adds.</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8java_source.html#l00168">CpModel.java:168</a></div></div>
<div class="ttc" id="classRankingSampleSat_html_a06e775d6535b4a4e69b2b45361c53fab"><div class="ttname"><a href="classRankingSampleSat.html#a06e775d6535b4a4e69b2b45361c53fab">RankingSampleSat.main</a></div><div class="ttdeci">static void main(String[] args)</div><div class="ttdef"><b>Definition:</b> <a href="RankingSampleSat_8java_source.html#l00097">RankingSampleSat.java:97</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel_html_ae228690295f8e4470448e59f1bd34526"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#ae228690295f8e4470448e59f1bd34526">com.google.ortools.sat.CpModel.addImplication</a></div><div class="ttdeci">Constraint addImplication(Literal a, Literal b)</div><div class="ttdoc">Adds.</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8java_source.html#l00127">CpModel.java:127</a></div></div>
<div class="ttc" id="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel_html_ae1919b96b22900f07543be2da12d0b98"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1sat_1_1CpModel.html#ae1919b96b22900f07543be2da12d0b98">com.google.ortools.sat.CpModel.newOptionalIntervalVar</a></div><div class="ttdeci">IntervalVar newOptionalIntervalVar(IntVar start, IntVar size, IntVar end, Literal isPresent, String name)</div><div class="ttdoc">Creates an optional interval variable from start, size, end, and isPresent.</div><div class="ttdef"><b>Definition:</b> <a href="CpModel_8java_source.html#l00769">CpModel.java:769</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="classcom_1_1google_1_1ortools_1_1sat_1_1CpSolver_html_aad90759e27de74339bfb97c3f31bc509"><div class="ttname"><a href="classcom_1_1google_1_1ortools_1_1sat_1_1CpSolver.html#aad90759e27de74339bfb97c3f31bc509">com.google.ortools.sat.CpSolver.solve</a></div><div class="ttdeci">CpSolverStatus solve(CpModel model)</div><div class="ttdoc">Solves the given module, and returns the solve status.</div><div class="ttdef"><b>Definition:</b> <a href="CpSolver_8java_source.html#l00033">CpSolver.java:33</a></div></div>
<div class="ttc" id="enumcom_1_1google_1_1ortools_1_1sat_1_1CpSolverStatus_html_af0c586bfb4b5c079c8f94fde2c878337"><div class="ttname"><a href="enumcom_1_1google_1_1ortools_1_1sat_1_1CpSolverStatus.html#af0c586bfb4b5c079c8f94fde2c878337">com.google.ortools.sat.CpSolverStatus.OPTIMAL</a></div><div class="ttdeci">OPTIMAL</div><div class="ttdef"><b>Definition:</b> <a href="CpSolverStatus_8java_source.html#l00059">CpSolverStatus.java:59</a></div></div>
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