<ahref="arc__flow__builder_8h.html">Go to the documentation of this file.</a><divclass="fragment"><divclass="line"><aname="l00001"></a><spanclass="lineno"> 1</span> <spanclass="comment">// Copyright 2010-2021 Google LLC</span></div><divclass="line"><aname="l00002"></a><spanclass="lineno"> 2</span> <spanclass="comment">// Licensed under the Apache License, Version 2.0 (the "License");</span></div><divclass="line"><aname="l00003"></a><spanclass="lineno"> 3</span> <spanclass="comment">// you may not use this file except in compliance with the License.</span></div><divclass="line"><aname="l00004"></a><spanclass="lineno"> 4</span> <spanclass="comment">// You may obtain a copy of the License at</span></div><divclass="line"><aname="l00005"></a><spanclass="lineno"> 5</span> <spanclass="comment">//</span></div><divclass="line"><aname="l00006"></a><spanclass="lineno"> 6</span> <spanclass="comment">// http://www.apache.org/licenses/LICENSE-2.0</span></div><divclass="line"><aname="l00007"></a><spanclass="lineno"> 7</span> <spanclass="comment">//</span></div><divclass="line"><aname="l00008"></a><spanclass="lineno"> 8</span> <spanclass="comment">// Unless required by applicable law or agreed to in writing, software</span></div><divclass="line"><aname="l00009"></a><spanclass="lineno"> 9</span> <spanclass="comment">// distributed under the License is distributed on an "AS IS" BASIS,</span></div><divclass="line"><aname="l00010"></a><spanclass="lineno"> 10</span> <spanclass="comment">// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span></div><divclass="line"><aname="l00011"></a><spanclass="lineno"> 11</span> <spanclass="comment">// See the License for the specific language governing permissions and</span></div><divclass="line"><aname="l00012"></a><spanclass="lineno"> 12</span> <spanclass="comment">// limitations under the License.</span></div><divclass="line"><aname="l00013"></a><spanclass="lineno"> 13</span> </div><divclass="line"><aname="l00014"></a><spanclass="lineno"> 14</span> <spanclass="comment">// This code builds an arc-flow generator for vector-bin-packing problems.</span></div><divclass="line"><aname="l00015"></a><spanclass="lineno"> 15</span> <spanclass="comment">// see https://people.math.gatech.edu/~tetali/PUBLIS/CKPT.pdf</span></div><divclass="line"><aname="l00016"></a><spanclass="lineno"> 16</span> <spanclass="comment">// It implements a non-recursive version of algorithm 1 described in:</span></div><divclass="line"><aname="l00017"></a><spanclass="lineno"> 17</span> <spanclass="comment">// http://www.dcc.fc.up.pt/~fdabrandao/papers/arcflow_manuscript.pdf</span></div><divclass="line"><aname="l00018"></a><spanclass="lineno"> 18</span> <spanclass="comment">// And in (poster version):</span></div><divclass="line"><aname="l00019"></a><spanclass="lineno"> 19</span> <spanclass="comment">// http://www.dcc.fc.up.pt/~fdabrandao/papers/arcflow_poster.pdf</span></div><divclass="line"><aname="l00020"></a><spanclass="lineno"> 20</span> <spanclass="comment">// Available at:</span></div><divclass="line"><aname="l00021"></a><spanclass="lineno"> 21</span> <spanclass="comment">// https://drive.google.com/open?id=1y-Vs1orv-QHO4lb2sjVWrZr9GQd5d2st</span></div><divclass="line"><aname="l00022"></a><spanclass="lineno"> 22</span> <spanclass="comment">// https://drive.google.com/open?id=1fsWRqgNJ_3ClrhoKIeVc1EOd5s8Mj33i (poster)</span></div><divclass="line"><aname="l00023"></a><spanclass="lineno"> 23</span> <spanclass="comment">// Some improvements are not yet implemented:</span></div><divclass="line"><aname="l00024"></a><spanclass="lineno"> 24</span> <spanclass="comment">// - Lifted stated: when storing a state of the dynamic programming forward</span></div><divclass="line"><aname="l00025"></a><spanclass="linen
<divclass="ttc"id="structoperations__research_1_1packing_1_1_arc_flow_graph_html_a405100e4926c5c9e6f758d909ce466d6"><divclass="ttname"><ahref="structoperations__research_1_1packing_1_1_arc_flow_graph.html#a405100e4926c5c9e6f758d909ce466d6">operations_research::packing::ArcFlowGraph::nodes</a></div><divclass="ttdeci">std::vector< std::vector< int >> nodes</div><divclass="ttdef"><b>Definition:</b><ahref="arc__flow__builder_8h_source.html#l00072">arc_flow_builder.h:72</a></div></div>
<divclass="ttc"id="namespaceoperations__research_html"><divclass="ttname"><ahref="namespaceoperations__research.html">operations_research</a></div><divclass="ttdoc">Collection of objects used to extend the Constraint Solver library.</div><divclass="ttdef"><b>Definition:</b><ahref="dense__doubly__linked__list_8h_source.html#l00021">dense_doubly_linked_list.h:21</a></div></div>
<divclass="ttc"id="namespaceoperations__research_1_1packing_html_abf4185c48db1dd3fb87f9d05081de446"><divclass="ttname"><ahref="namespaceoperations__research_1_1packing.html#abf4185c48db1dd3fb87f9d05081de446">operations_research::packing::BuildArcFlowGraph</a></div><divclass="ttdeci">ArcFlowGraph BuildArcFlowGraph(const std::vector< int >&bin_dimensions, const std::vector< std::vector< int >>&item_dimensions_by_type, const std::vector< int >&demand_by_type)</div><divclass="ttdef"><b>Definition:</b><ahref="arc__flow__builder_8cc_source.html#l00399">arc_flow_builder.cc:399</a></div></div>
