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<div class="title">cumulative.h</div> </div>
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<a href="cumulative_8h.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="preprocessor">#ifndef OR_TOOLS_SAT_CUMULATIVE_H_</span></div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="preprocessor">#define OR_TOOLS_SAT_CUMULATIVE_H_</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160; </div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="preprocessor">#include &lt;functional&gt;</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160; </div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="integer_8h.html">ortools/sat/integer.h</a>&quot;</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="intervals_8h.html">ortools/sat/intervals.h</a>&quot;</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="sat_2model_8h.html">ortools/sat/model.h</a>&quot;</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160; </div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceoperations__research.html">operations_research</a> {</div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160;<span class="keyword">namespace </span>sat {</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; </div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;<span class="comment">// Adds a cumulative constraint on the given intervals, the associated demands</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160;<span class="comment">// and the capacity expressions.</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160;<span class="comment">// Each interval represents a task to be scheduled in time such that the task</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160;<span class="comment">// consumes the resource during the time range [lb, ub) where lb and ub</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160;<span class="comment">// respectively represent the lower and upper bounds of the corresponding</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160;<span class="comment">// interval variable. The amount of resource consumed by the task is the value</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;<span class="comment">// of its associated demand variable.</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160;<span class="comment">// The cumulative constraint forces the set of task to be scheduled such that</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160;<span class="comment">// the sum of the demands of all the tasks that overlap any time point cannot</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160;<span class="comment">// exceed the capacity of the resource.</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;<span class="comment">// This constraint assumes that an interval can be optional or have a size</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160;<span class="comment">// of zero. The demands and the capacity can be any non-negative number.</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160;<span class="comment">// Optimization: If one already have an helper constructed from the interval</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160;<span class="comment">// variable, it can be passed as last argument.</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160;std::function&lt;void(Model*)&gt; <a class="code" href="namespaceoperations__research_1_1sat.html#a615085331bd86d852e84f75fcadbeaa1">Cumulative</a>(</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; <span class="keyword">const</span> std::vector&lt;IntervalVariable&gt;&amp; vars,</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; <span class="keyword">const</span> std::vector&lt;AffineExpression&gt;&amp; demands, AffineExpression <a class="code" href="routing__flow_8cc.html#adf3be22c64f10c0783c0cf277e857adf">capacity</a>,</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; SchedulingConstraintHelper* helper = <span class="keyword">nullptr</span>);</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; </div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;<span class="comment">// Adds a simple cumulative constraint. See the comment of Cumulative() above</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160;<span class="comment">// for a definition of the constraint. This is only used for testing.</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160;<span class="comment">// This constraint assumes that task demands and the resource capacity are fixed</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160;<span class="comment">// to non-negative number.</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160;std::function&lt;void(Model*)&gt; <a class="code" href="namespaceoperations__research_1_1sat.html#ab521107466b31efd0078a963cdc8d978">CumulativeTimeDecomposition</a>(</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keyword">const</span> std::vector&lt;IntervalVariable&gt;&amp; vars,</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; <span class="keyword">const</span> std::vector&lt;AffineExpression&gt;&amp; demands, AffineExpression <a class="code" href="routing__flow_8cc.html#adf3be22c64f10c0783c0cf277e857adf">capacity</a>,</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; SchedulingConstraintHelper* helper = <span class="keyword">nullptr</span>);</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; </div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160;<span class="comment">// Another testing code, same assumptions as the CumulativeTimeDecomposition().</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160;std::function&lt;void(Model*)&gt; <a class="code" href="namespaceoperations__research_1_1sat.html#adf06bba7c940f142f85307687dcdf744">CumulativeUsingReservoir</a>(</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; <span class="keyword">const</span> std::vector&lt;IntervalVariable&gt;&amp; vars,</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; <span class="keyword">const</span> std::vector&lt;AffineExpression&gt;&amp; demands, AffineExpression <a class="code" href="routing__flow_8cc.html#adf3be22c64f10c0783c0cf277e857adf">capacity</a>,</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; SchedulingConstraintHelper* helper = <span class="keyword">nullptr</span>);</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; </div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;} <span class="comment">// namespace sat</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;} <span class="comment">// namespace operations_research</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; </div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160;<span class="preprocessor">#endif </span><span class="comment">// OR_TOOLS_SAT_CUMULATIVE_H_</span></div>
<div class="ttc" id="ainteger_8h_html"><div class="ttname"><a href="integer_8h.html">integer.h</a></div></div>
<div class="ttc" id="aintervals_8h_html"><div class="ttname"><a href="intervals_8h.html">intervals.h</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_a615085331bd86d852e84f75fcadbeaa1"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#a615085331bd86d852e84f75fcadbeaa1">operations_research::sat::Cumulative</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; Cumulative(const std::vector&lt; IntervalVariable &gt; &amp;vars, const std::vector&lt; AffineExpression &gt; &amp;demands, AffineExpression capacity, SchedulingConstraintHelper *helper)</div><div class="ttdef"><b>Definition:</b> <a href="cumulative_8cc_source.html#l00035">cumulative.cc:35</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_ab521107466b31efd0078a963cdc8d978"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#ab521107466b31efd0078a963cdc8d978">operations_research::sat::CumulativeTimeDecomposition</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; CumulativeTimeDecomposition(const std::vector&lt; IntervalVariable &gt; &amp;vars, const std::vector&lt; AffineExpression &gt; &amp;demands, AffineExpression capacity, SchedulingConstraintHelper *helper)</div><div class="ttdef"><b>Definition:</b> <a href="cumulative_8cc_source.html#l00153">cumulative.cc:153</a></div></div>
<div class="ttc" id="anamespaceoperations__research_1_1sat_html_adf06bba7c940f142f85307687dcdf744"><div class="ttname"><a href="namespaceoperations__research_1_1sat.html#adf06bba7c940f142f85307687dcdf744">operations_research::sat::CumulativeUsingReservoir</a></div><div class="ttdeci">std::function&lt; void(Model *)&gt; CumulativeUsingReservoir(const std::vector&lt; IntervalVariable &gt; &amp;vars, const std::vector&lt; AffineExpression &gt; &amp;demands, AffineExpression capacity, SchedulingConstraintHelper *helper)</div><div class="ttdef"><b>Definition:</b> <a href="cumulative_8cc_source.html#l00234">cumulative.cc:234</a></div></div>
<div class="ttc" id="anamespaceoperations__research_html"><div class="ttname"><a href="namespaceoperations__research.html">operations_research</a></div><div class="ttdoc">The vehicle routing library lets one model and solve generic vehicle routing problems ranging from th...</div><div class="ttdef"><b>Definition:</b> <a href="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
<div class="ttc" id="arouting__flow_8cc_html_adf3be22c64f10c0783c0cf277e857adf"><div class="ttname"><a href="routing__flow_8cc.html#adf3be22c64f10c0783c0cf277e857adf">capacity</a></div><div class="ttdeci">int64 capacity</div><div class="ttdef"><b>Definition:</b> <a href="routing__flow_8cc_source.html#l00129">routing_flow.cc:129</a></div></div>
<div class="ttc" id="asat_2model_8h_html"><div class="ttname"><a href="sat_2model_8h.html">model.h</a></div></div>
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