2022-01-17 21:42:14 +01:00
<!-- HTML header for doxygen 1.8.18 -->
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
< html xmlns = "http://www.w3.org/1999/xhtml" >
< head >
< meta http-equiv = "Content-Type" content = "text/xhtml;charset=UTF-8" / >
< meta http-equiv = "X-UA-Compatible" content = "IE=9" / >
< meta name = "generator" content = "Doxygen 1.9.3" / >
< meta name = "viewport" content = "width=device-width, initial-scale=1" / >
< title > OR-Tools: cutting_stock.cc Source File< / title >
< link href = "tabs.css" rel = "stylesheet" type = "text/css" / >
< script type = "text/javascript" src = "jquery.js" > < / script >
< script type = "text/javascript" src = "dynsections.js" > < / script >
< link href = "navtree.css" rel = "stylesheet" type = "text/css" / >
< script type = "text/javascript" src = "resize.js" > < / script >
< script type = "text/javascript" src = "navtreedata.js" > < / script >
< script type = "text/javascript" src = "navtree.js" > < / script >
< link href = "search/search.css" rel = "stylesheet" type = "text/css" / >
< script type = "text/javascript" src = "search/searchdata.js" > < / script >
< script type = "text/javascript" src = "search/search.js" > < / script >
< link href = "doxygen.css" rel = "stylesheet" type = "text/css" / >
< link href = "styleSheet.tmp.css" rel = "stylesheet" type = "text/css" / >
< / head >
< body >
< div id = "top" > <!-- do not remove this div, it is closed by doxygen! -->
< div id = "titlearea" >
< table cellspacing = "0" cellpadding = "0" >
< tbody >
< tr style = "height: 56px;" >
< td id = "projectlogo" > < img alt = "Logo" src = "orLogo.png" / > < / td >
< td id = "projectalign" style = "padding-left: 0.5em;" >
< div id = "projectname" > OR-Tools
2022-03-04 00:11:33 +01:00
  < span id = "projectnumber" > 9.3< / span >
2022-01-17 21:42:14 +01:00
< / div >
< / td >
< / tr >
< / tbody >
< / table >
< / div >
<!-- end header part -->
<!-- Generated by Doxygen 1.9.3 -->
< script type = "text/javascript" >
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699& dn=expat.txt MIT */
var searchBox = new SearchBox("searchBox", "search",'Search','.html');
/* @license-end */
< / script >
< script type = "text/javascript" src = "menudata.js" > < / script >
< script type = "text/javascript" src = "menu.js" > < / script >
< script type = "text/javascript" >
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699& dn=expat.txt MIT */
$(function() {
initMenu('',true,false,'search.php','Search');
$(document).ready(function() { init_search(); });
});
/* @license-end */
< / script >
< div id = "main-nav" > < / div >
< / div > <!-- top -->
< div id = "side-nav" class = "ui-resizable side-nav-resizable" >
< div id = "nav-tree" >
< div id = "nav-tree-contents" >
< div id = "nav-sync" class = "sync" > < / div >
< / div >
< / div >
< div id = "splitbar" style = "-moz-user-select:none;"
class="ui-resizable-handle">
< / div >
< / div >
< script type = "text/javascript" >
/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699& dn=expat.txt MIT */
$(document).ready(function(){initNavTree('cutting__stock_8cc_source.html',''); initResizable(); });
/* @license-end */
< / script >
< div id = "doc-content" >
<!-- window showing the filter options -->
< div id = "MSearchSelectWindow"
onmouseover="return searchBox.OnSearchSelectShow()"
onmouseout="return searchBox.OnSearchSelectHide()"
onkeydown="return searchBox.OnSearchSelectKey(event)">
< / div >
<!-- iframe showing the search results (closed by default) -->
< div id = "MSearchResultsWindow" >
< iframe src = "javascript:void(0)" frameborder = "0"
name="MSearchResults" id="MSearchResults">
< / iframe >
< / div >
< div class = "header" >
< div class = "headertitle" > < div class = "title" > cutting_stock.cc< / div > < / div >
< / div > <!-- header -->
< div class = "contents" >
< a href = "cutting__stock_8cc.html" > Go to the documentation of this file.< / a > < div class = "fragment" > < div class = "line" > < a id = "l00001" name = "l00001" > < / a > < span class = "lineno" > 1< / span > < span class = "comment" > // Copyright 2010-2021 Google LLC< / span > < / div >
< div class = "line" > < a id = "l00002" name = "l00002" > < / a > < span class = "lineno" > 2< / span > < span class = "comment" > // Licensed under the Apache License, Version 2.0 (the " License" );< / span > < / div >
< div class = "line" > < a id = "l00003" 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 >
< div class = "line" > < a id = "l00004" name = "l00004" > < / a > < span class = "lineno" > 4< / span > < span class = "comment" > // You may obtain a copy of the License at< / span > < / div >
< div class = "line" > < a id = "l00005" name = "l00005" > < / a > < span class = "lineno" > 5< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00006" name = "l00006" > < / a > < span class = "lineno" > 6< / span > < span class = "comment" > // http://www.apache.org/licenses/LICENSE-2.0< / span > < / div >
< div class = "line" > < a id = "l00007" name = "l00007" > < / a > < span class = "lineno" > 7< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00008" name = "l00008" > < / a > < span class = "lineno" > 8< / span > < span class = "comment" > // Unless required by applicable law or agreed to in writing, software< / span > < / div >
< div class = "line" > < a id = "l00009" name = "l00009" > < / a > < span class = "lineno" > 9< / span > < span class = "comment" > // distributed under the License is distributed on an " AS IS" BASIS,< / span > < / div >
< div class = "line" > < a id = "l00010" name = "l00010" > < / a > < span class = "lineno" > 10< / span > < span class = "comment" > // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.< / span > < / div >
< div class = "line" > < a id = "l00011" name = "l00011" > < / a > < span class = "lineno" > 11< / span > < span class = "comment" > // See the License for the specific language governing permissions and< / span > < / div >
< div class = "line" > < a id = "l00012" name = "l00012" > < / a > < span class = "lineno" > 12< / span > < span class = "comment" > // limitations under the License.< / span > < / div >
< div class = "line" > < a id = "l00013" name = "l00013" > < / a > < span class = "lineno" > 13< / span > < / div >
< div class = "line" > < a id = "l00014" name = "l00014" > < / a > < span class = "lineno" > 14< / span > < span class = "comment" > // The Cutting Stock problem is as follows. You begin with unlimited boards, all< / span > < / div >
< div class = "line" > < a id = "l00015" name = "l00015" > < / a > < span class = "lineno" > 15< / span > < span class = "comment" > // of the same length. You are also given a list of smaller pieces to cut out,< / span > < / div >
< div class = "line" > < a id = "l00016" name = "l00016" > < / a > < span class = "lineno" > 16< / span > < span class = "comment" > // each with a length and a demanded quantity. You want to cut out all these< / span > < / div >
< div class = "line" > < a id = "l00017" name = "l00017" > < / a > < span class = "lineno" > 17< / span > < span class = "comment" > // pieces using as few of your starting boards as possible.< / span > < / div >
< div class = "line" > < a id = "l00018" name = "l00018" > < / a > < span class = "lineno" > 18< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00019" name = "l00019" > < / a > < span class = "lineno" > 19< / span > < span class = "comment" > // E.g. you begin with boards that are 20 feet long, and you must cut out 3< / span > < / div >
< div class = "line" > < a id = "l00020" name = "l00020" > < / a > < span class = "lineno" > 20< / span > < span class = "comment" > // pieces that are 6 feet long and 5 pieces that are 8 feet long. An optimal< / span > < / div >
< div class = "line" > < a id = "l00021" name = "l00021" > < / a > < span class = "lineno" > 21< / span > < span class = "comment" > // solution is:< / span > < / div >
< div class = "line" > < a id = "l00022" name = "l00022" > < / a > < span class = "lineno" > 22< / span > < span class = "comment" > // [(6,), (8, 8) (8, 8), (6, 6, 8)]< / span > < / div >
< div class = "line" > < a id = "l00023" name = "l00023" > < / a > < span class = "lineno" > 23< / span > < span class = "comment" > // (We cut a 6 foot piece from the first board, two 8 foot pieces from< / span > < / div >
< div class = "line" > < a id = "l00024" name = "l00024" > < / a > < span class = "lineno" > 24< / span > < span class = "comment" > // the second board, and so on.)< / span > < / div >
< div class = "line" > < a id = "l00025" name = "l00025" > < / a > < span class = "lineno" > 25< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00026" name = "l00026" > < / a > < span class = "lineno" > 26< / span > < span class = "comment" > // This example approximately solves the problem with a column generation< / span > < / div >
< div class = "line" > < a id = "l00027" name = "l00027" > < / a > < span class = "lineno" > 27< / span > < span class = "comment" > // heuristic. The leader problem is a set cover problem, and the worker is a< / span > < / div >
< div class = "line" > < a id = "l00028" name = "l00028" > < / a > < span class = "lineno" > 28< / span > < span class = "comment" > // knapsack problem. We alternate between solving the LP relaxation of the< / span > < / div >
< div class = "line" > < a id = "l00029" name = "l00029" > < / a > < span class = "lineno" > 29< / span > < span class = "comment" > // leader incrementally, and solving the worker to generate new a configuration< / span > < / div >
< div class = "line" > < a id = "l00030" name = "l00030" > < / a > < span class = "lineno" > 30< / span > < span class = "comment" > // (a column) for the leader. When the worker can no longer find a column< / span > < / div >
< div class = "line" > < a id = "l00031" name = "l00031" > < / a > < span class = "lineno" > 31< / span > < span class = "comment" > // improving the LP cost, we convert the leader problem to a MIP and solve< / span > < / div >
< div class = "line" > < a id = "l00032" name = "l00032" > < / a > < span class = "lineno" > 32< / span > < span class = "comment" > // again. We now give precise statements of the leader and worker.< / span > < / div >
< div class = "line" > < a id = "l00033" name = "l00033" > < / a > < span class = "lineno" > 33< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00034" name = "l00034" > < / a > < span class = "lineno" > 34< / span > < span class = "comment" > // Problem data:< / span > < / div >
< div class = "line" > < a id = "l00035" name = "l00035" > < / a > < span class = "lineno" > 35< / span > < span class = "comment" > // * l_i: the length of each piece we need to cut out.< / span > < / div >
< div class = "line" > < a id = "l00036" name = "l00036" > < / a > < span class = "lineno" > 36< / span > < span class = "comment" > // * d_i: how many copies each piece we need.< / span > < / div >
< div class = "line" > < a id = "l00037" name = "l00037" > < / a > < span class = "lineno" > 37< / span > < span class = "comment" > // * L: the length of our initial boards.< / span > < / div >
< div class = "line" > < a id = "l00038" name = "l00038" > < / a > < span class = "lineno" > 38< / span > < span class = "comment" > // * q_ci: for configuration c, the quantity of piece i produced.< / span > < / div >
< div class = "line" > < a id = "l00039" name = "l00039" > < / a > < span class = "lineno" > 39< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00040" name = "l00040" > < / a > < span class = "lineno" > 40< / span > < span class = "comment" > // Leader problem variables:< / span > < / div >
< div class = "line" > < a id = "l00041" name = "l00041" > < / a > < span class = "lineno" > 41< / span > < span class = "comment" > // * x_c: how many copies of configuration c to produce.< / span > < / div >
< div class = "line" > < a id = "l00042" name = "l00042" > < / a > < span class = "lineno" > 42< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00043" name = "l00043" > < / a > < span class = "lineno" > 43< / span > < span class = "comment" > // Leader problem formulation:< / span > < / div >
< div class = "line" > < a id = "l00044" name = "l00044" > < / a > < span class = "lineno" > 44< / span > < span class = "comment" > // min sum_c x_c< / span > < / div >
< div class = "line" > < a id = "l00045" name = "l00045" > < / a > < span class = "lineno" > 45< / span > < span class = "comment" > // s.t. sum_c q_ci * x_c = d_i for all i< / span > < / div >
< div class = "line" > < a id = "l00046" name = "l00046" > < / a > < span class = "lineno" > 46< / span > < span class = "comment" > // x_c > = 0, integer for all c.< / span > < / div >
< div class = "line" > < a id = "l00047" name = "l00047" > < / a > < span class = "lineno" > 47< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00048" name = "l00048" > < / a > < span class = "lineno" > 48< / span > < span class = "comment" > // The worker problem is to generate new configurations for the leader problem< / span > < / div >
< div class = "line" > < a id = "l00049" name = "l00049" > < / a > < span class = "lineno" > 49< / span > < span class = "comment" > // based on the dual variables of the demand constraints in the LP relaxation.< / span > < / div >
< div class = "line" > < a id = "l00050" name = "l00050" > < / a > < span class = "lineno" > 50< / span > < span class = "comment" > // Worker problem data:< / span > < / div >
< div class = "line" > < a id = "l00051" name = "l00051" > < / a > < span class = "lineno" > 51< / span > < span class = "comment" > // * p_i: The " price" of piece i (dual value from leader' s demand constraint)< / span > < / div >
< div class = "line" > < a id = "l00052" name = "l00052" > < / a > < span class = "lineno" > 52< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00053" name = "l00053" > < / a > < span class = "lineno" > 53< / span > < span class = "comment" > // Worker decision variables:< / span > < / div >
< div class = "line" > < a id = "l00054" name = "l00054" > < / a > < span class = "lineno" > 54< / span > < span class = "comment" > // * y_i: How many copies of piece i should be in the configuration.< / span > < / div >
< div class = "line" > < a id = "l00055" name = "l00055" > < / a > < span class = "lineno" > 55< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00056" name = "l00056" > < / a > < span class = "lineno" > 56< / span > < span class = "comment" > // Worker formulation< / span > < / div >
< div class = "line" > < a id = "l00057" name = "l00057" > < / a > < span class = "lineno" > 57< / span > < span class = "comment" > // max sum_i p_i * y_i< / span > < / div >
< div class = "line" > < a id = "l00058" name = "l00058" > < / a > < span class = "lineno" > 58< / span > < span class = "comment" > // s.t. sum_i l_i * y_i < = L< / span > < / div >
< div class = "line" > < a id = "l00059" name = "l00059" > < / a > < span class = "lineno" > 59< / span > < span class = "comment" > // y_i > = 0, integer for all i< / span > < / div >
< div class = "line" > < a id = "l00060" name = "l00060" > < / a > < span class = "lineno" > 60< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00061" name = "l00061" > < / a > < span class = "lineno" > 61< / span > < span class = "comment" > // An optimal solution y* defines a new configuration c with q_ci = y_i* for all< / span > < / div >
< div class = "line" > < a id = "l00062" name = "l00062" > < / a > < span class = "lineno" > 62< / span > < span class = "comment" > // i. If the solution has objective value < = 1, no further improvement on the LP< / span > < / div >
< div class = "line" > < a id = "l00063" name = "l00063" > < / a > < span class = "lineno" > 63< / span > < span class = "comment" > // is possible. For additional background and proofs see:< / span > < / div >
< div class = "line" > < a id = "l00064" name = "l00064" > < / a > < span class = "lineno" > 64< / span > < span class = "comment" > // https://people.orie.cornell.edu/shmoys/or630/notes-06/lec16.pdf< / span > < / div >
< div class = "line" > < a id = "l00065" name = "l00065" > < / a > < span class = "lineno" > 65< / span > < span class = "comment" > // or any other reference on the " Cutting Stock Problem" .< / span > < / div >
< div class = "line" > < a id = "l00066" name = "l00066" > < / a > < span class = "lineno" > 66< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00067" name = "l00067" > < / a > < span class = "lineno" > 67< / span > < span class = "comment" > // Note: this problem is equivalent to symmetric bin packing:< / span > < / div >
< div class = "line" > < a id = "l00068" name = "l00068" > < / a > < span class = "lineno" > 68< / span > < span class = "comment" > // https://en.wikipedia.org/wiki/Bin_packing_problem#Formal_statement< / span > < / div >
< div class = "line" > < a id = "l00069" name = "l00069" > < / a > < span class = "lineno" > 69< / span > < span class = "comment" > // but typically in bin packing it is not assumed that you should exploit having< / span > < / div >
< div class = "line" > < a id = "l00070" name = "l00070" > < / a > < span class = "lineno" > 70< / span > < span class = "comment" > // multiple items of the same size.< / span > < / div >
< div class = "line" > < a id = "l00071" name = "l00071" > < / a > < span class = "lineno" > 71< / span > < span class = "preprocessor" > #include < iostream> < / span > < / div >
< div class = "line" > < a id = "l00072" name = "l00072" > < / a > < span class = "lineno" > 72< / span > < span class = "preprocessor" > #include < limits> < / span > < / div >
< div class = "line" > < a id = "l00073" name = "l00073" > < / a > < span class = "lineno" > 73< / span > < span class = "preprocessor" > #include < utility> < / span > < / div >
< div class = "line" > < a id = "l00074" name = "l00074" > < / a > < span class = "lineno" > 74< / span > < span class = "preprocessor" > #include < vector> < / span > < / div >
< div class = "line" > < a id = "l00075" name = "l00075" > < / a > < span class = "lineno" > 75< / span > < / div >
2022-03-04 00:11:33 +01:00
< div class = "line" > < a id = "l00076" name = "l00076" > < / a > < span class = "lineno" > 76< / span > < span class = "preprocessor" > #include " absl/status/status.h" < / span > < / div >
< div class = "line" > < a id = "l00077" name = "l00077" > < / a > < span class = "lineno" > 77< / span > < span class = "preprocessor" > #include " absl/status/statusor.h" < / span > < / div >
< div class = "line" > < a id = "l00078" name = "l00078" > < / a > < span class = "lineno" > 78< / span > < span class = "preprocessor" > #include " < a class = "code" href = "init__google_8h.html" > ortools/base/init_google.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00079" name = "l00079" > < / a > < span class = "lineno" > 79< / span > < span class = "preprocessor" > #include " < a class = "code" href = "base_2logging_8h.html" > ortools/base/logging.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00080" name = "l00080" > < / a > < span class = "lineno" > 80< / span > < span class = "preprocessor" > #include " < a class = "code" href = "status__builder_8h.html" > ortools/base/status_builder.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00081" name = "l00081" > < / a > < span class = "lineno" > 81< / span > < span class = "preprocessor" > #include " < a class = "code" href = "base_2status__macros_8h.html" > ortools/base/status_macros.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00082" name = "l00082" > < / a > < span class = "lineno" > 82< / span > < span class = "preprocessor" > #include " < a class = "code" href = "math__opt_8h.html" > ortools/math_opt/cpp/math_opt.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00083" name = "l00083" > < / a > < span class = "lineno" > 83< / span > < / div >
< div class = "line" > < a id = "l00084" name = "l00084" > < / a > < span class = "lineno" > 84< / span > < span class = "keyword" > namespace < / span > {< / div >
< div class = "line" > < a id = "l00085" name = "l00085" > < / a > < span class = "lineno" > 85< / span > < / div >
< div class = "line" > < a id = "l00086" name = "l00086" > < / a > < span class = "lineno" > 86< / span > < span class = "keyword" > namespace < / span > < a class = "code hl_namespace" href = "namespaceoperations__research_1_1math__opt.html" > math_opt< / a > = < a class = "code hl_namespace" href = "namespaceoperations__research_1_1math__opt.html" > operations_research::math_opt< / a > ;< / div >
< div class = "line" > < a id = "l00087" name = "l00087" > < / a > < span class = "lineno" > 87< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > double< / span > < a class = "code hl_variable" href = "namespaceoperations__research_1_1math__opt.html#ad9f50c9313b35cc1e8887057dc4d9645" > kInf< / a > = std::numeric_limits< double> ::infinity();< / div >
< div class = "line" > < a id = "l00088" name = "l00088" > < / a > < span class = "lineno" > 88< / span > < / div >
< div class = "line" > < a id = "l00089" name = "l00089" > < / a > < span class = "lineno" > 89< / span > < span class = "comment" > // piece_sizes and piece_demands must have equal length.< / span > < / div >
< div class = "line" > < a id = "l00090" name = "l00090" > < / a > < span class = "lineno" > 90< / span > < span class = "comment" > // every piece must have 0 < size < = board_length.< / span > < / div >
< div class = "line" > < a id = "l00091" name = "l00091" > < / a > < span class = "lineno" > 91< / span > < span class = "comment" > // every piece must have demand > 0.< / span > < / div >
< div class = "line" > < a id = "l00092" name = "l00092" > < / a > < span class = "lineno" > 92< / span > < span class = "keyword" > struct < / span > CuttingStockInstance {< / div >
< div class = "line" > < a id = "l00093" name = "l00093" > < / a > < span class = "lineno" > 93< / span > std::vector< int> piece_sizes;< / div >
< div class = "line" > < a id = "l00094" name = "l00094" > < / a > < span class = "lineno" > 94< / span > std::vector< int> piece_demands;< / div >
< div class = "line" > < a id = "l00095" name = "l00095" > < / a > < span class = "lineno" > 95< / span > < span class = "keywordtype" > int< / span > board_length;< / div >
< div class = "line" > < a id = "l00096" name = "l00096" > < / a > < span class = "lineno" > 96< / span > };< / div >
< div class = "line" > < a id = "l00097" name = "l00097" > < / a > < span class = "lineno" > 97< / span > < / div >
< div class = "line" > < a id = "l00098" name = "l00098" > < / a > < span class = "lineno" > 98< / span > < span class = "comment" > // pieces and quantity must have equal size.< / span > < / div >
< div class = "line" > < a id = "l00099" name = "l00099" > < / a > < span class = "lineno" > 99< / span > < span class = "comment" > // Defined for a related CuttingStockInstance, the total length all pieces< / span > < / div >
< div class = "line" > < a id = "l00100" name = "l00100" > < / a > < span class = "lineno" > 100< / span > < span class = "comment" > // weighted by their quantity must not exceed board_length.< / span > < / div >
< div class = "line" > < a id = "l00101" name = "l00101" > < / a > < span class = "lineno" > 101< / span > < span class = "keyword" > struct < / span > Configuration {< / div >
< div class = "line" > < a id = "l00102" name = "l00102" > < / a > < span class = "lineno" > 102< / span > std::vector< int> pieces;< / div >
< div class = "line" > < a id = "l00103" name = "l00103" > < / a > < span class = "lineno" > 103< / span > std::vector< int> quantity;< / div >
< div class = "line" > < a id = "l00104" name = "l00104" > < / a > < span class = "lineno" > 104< / span > };< / div >
< div class = "line" > < a id = "l00105" name = "l00105" > < / a > < span class = "lineno" > 105< / span > < / div >
< div class = "line" > < a id = "l00106" name = "l00106" > < / a > < span class = "lineno" > 106< / span > < span class = "comment" > // configurations and quantity must have equal size.< / span > < / div >
< div class = "line" > < a id = "l00107" name = "l00107" > < / a > < span class = "lineno" > 107< / span > < span class = "comment" > // objective_value is the sum of the vales in quantity (how many total boards< / span > < / div >
< div class = "line" > < a id = "l00108" name = "l00108" > < / a > < span class = "lineno" > 108< / span > < span class = "comment" > // are used).< / span > < / div >
< div class = "line" > < a id = "l00109" name = "l00109" > < / a > < span class = "lineno" > 109< / span > < span class = "comment" > // To be feasible, the demand for each piece type must be met by the produced< / span > < / div >
< div class = "line" > < a id = "l00110" name = "l00110" > < / a > < span class = "lineno" > 110< / span > < span class = "comment" > // configurations.< / span > < / div >
< div class = "line" > < a id = "l00111" name = "l00111" > < / a > < span class = "lineno" > 111< / span > < span class = "keyword" > struct < / span > CuttingStockSolution {< / div >
< div class = "line" > < a id = "l00112" name = "l00112" > < / a > < span class = "lineno" > 112< / span > std::vector< Configuration> configurations;< / div >
< div class = "line" > < a id = "l00113" name = "l00113" > < / a > < span class = "lineno" > 113< / span > std::vector< int> quantity;< / div >
< div class = "line" > < a id = "l00114" name = "l00114" > < / a > < span class = "lineno" > 114< / span > < span class = "keywordtype" > int< / span > < a class = "code hl_variable" href = "trust__region_8cc.html#a69703b8569462134ad4e22ab0133e418" > objective_value< / a > = 0;< / div >
< div class = "line" > < a id = "l00115" name = "l00115" > < / a > < span class = "lineno" > 115< / span > };< / div >
< div class = "line" > < a id = "l00116" name = "l00116" > < / a > < span class = "lineno" > 116< / span > < / div >
< div class = "line" > < a id = "l00117" name = "l00117" > < / a > < span class = "lineno" > 117< / span > < span class = "comment" > // Solves the worker problem.< / span > < / div >
< div class = "line" > < a id = "l00118" name = "l00118" > < / a > < span class = "lineno" > 118< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00119" name = "l00119" > < / a > < span class = "lineno" > 119< / span > < span class = "comment" > // Solves the problem on finding the configuration (with its objective value) to< / span > < / div >
< div class = "line" > < a id = "l00120" name = "l00120" > < / a > < span class = "lineno" > 120< / span > < span class = "comment" > // add the to model that will give the greatest improvement in the LP< / span > < / div >
< div class = "line" > < a id = "l00121" name = "l00121" > < / a > < span class = "lineno" > 121< / span > < span class = "comment" > // relaxation. This is equivalent to a knapsack problem.< / span > < / div >
< div class = "line" > < a id = "l00122" name = "l00122" > < / a > < span class = "lineno" > 122< / span > absl::StatusOr< std::pair< Configuration, double> > BestConfiguration(< / div >
< div class = "line" > < a id = "l00123" name = "l00123" > < / a > < span class = "lineno" > 123< / span > < span class = "keyword" > const< / span > std::vector< double> & piece_prices,< / div >
< div class = "line" > < a id = "l00124" name = "l00124" > < / a > < span class = "lineno" > 124< / span > < span class = "keyword" > const< / span > std::vector< int> & piece_sizes, < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > board_size) {< / div >
< div class = "line" > < a id = "l00125" name = "l00125" > < / a > < span class = "lineno" > 125< / span > < span class = "keywordtype" > int< / span > num_pieces = piece_prices.size();< / div >
< div class = "line" > < a id = "l00126" name = "l00126" > < / a > < span class = "lineno" > 126< / span > < a class = "code hl_define" href = "base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b" > CHECK_EQ< / a > (piece_sizes.size(), num_pieces);< / div >
< div class = "line" > < a id = "l00127" name = "l00127" > < / a > < span class = "lineno" > 127< / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_model.html" > math_opt::Model< / a > < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > (< span class = "stringliteral" > " knapsack" < / span > );< / div >
< div class = "line" > < a id = "l00128" name = "l00128" > < / a > < span class = "lineno" > 128< / span > std::vector< math_opt::Variable> pieces;< / div >
< div class = "line" > < a id = "l00129" name = "l00129" > < / a > < span class = "lineno" > 129< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < num_pieces; ++i) {< / div >
< div class = "line" > < a id = "l00130" name = "l00130" > < / a > < span class = "lineno" > 130< / span > pieces.push_back(< / div >
< div class = "line" > < a id = "l00131" name = "l00131" > < / a > < span class = "lineno" > 131< / span > < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > .AddIntegerVariable(0, < a class = "code hl_variable" href = "namespaceoperations__research_1_1math__opt.html#ad9f50c9313b35cc1e8887057dc4d9645" > kInf< / a > , absl::StrCat(< span class = "stringliteral" > " item_" < / span > , i)));< / div >
< div class = "line" > < a id = "l00132" name = "l00132" > < / a > < span class = "lineno" > 132< / span > }< / div >
< div class = "line" > < a id = "l00133" name = "l00133" > < / a > < span class = "lineno" > 133< / span > < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > .Maximize(< a class = "code hl_function" href = "namespaceoperations__research_1_1math__opt.html#a7e30ee72c333408fd39ddd21c527794c" > math_opt::InnerProduct< / a > (pieces, piece_prices));< / div >
< div class = "line" > < a id = "l00134" name = "l00134" > < / a > < span class = "lineno" > 134< / span > < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > .AddLinearConstraint(< a class = "code hl_function" href = "namespaceoperations__research_1_1math__opt.html#a7e30ee72c333408fd39ddd21c527794c" > math_opt::InnerProduct< / a > (pieces, piece_sizes) < =< / div >
< div class = "line" > < a id = "l00135" name = "l00135" > < / a > < span class = "lineno" > 135< / span > board_size);< / div >
< div class = "line" > < a id = "l00136" name = "l00136" > < / a > < span class = "lineno" > 136< / span > < a class = "code hl_define" href = "base_2status__macros_8h.html#a600de4b8f65fe0a4b1898041634f9011" > ASSIGN_OR_RETURN< / a > (< span class = "keyword" > const< / span > < a class = "code hl_struct" href = "structoperations__research_1_1math__opt_1_1_solve_result.html" > math_opt::SolveResult< / a > solve_result,< / div >
< div class = "line" > < a id = "l00137" name = "l00137" > < / a > < span class = "lineno" > 137< / span > < a class = "code hl_function" href = "namespaceoperations__research_1_1math__opt.html#a5767ee23f380e72488d3c7ebf2d742b1" > math_opt::Solve< / a > (< a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > , math_opt::SolverType::kCpSat));< / div >
< div class = "line" > < a id = "l00138" name = "l00138" > < / a > < span class = "lineno" > 138< / span > < span class = "keywordflow" > if< / span > (solve_result.< a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a77d1ea96211300e9417b965981953c81" > termination< / a > .< a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_termination.html#a36d5365d462f57468ba3a9d8ae6bbec9" > reason< / a > !=< / div >
< div class = "line" > < a id = "l00139" name = "l00139" > < / a > < span class = "lineno" > 139< / span > math_opt::TerminationReason::kOptimal) {< / div >
< div class = "line" > < a id = "l00140" name = "l00140" > < / a > < span class = "lineno" > 140< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_function" href = "namespaceutil.html#a302ee4bfcb86ea9ed64a193ed0b14648" > util::InternalErrorBuilder< / a > ()< / div >
< div class = "line" > < a id = "l00141" name = "l00141" > < / a > < span class = "lineno" > 141< / span > < < < span class = "stringliteral" > " Failed to solve knapsack pricing problem to optimality: " < / span > < / div >
< div class = "line" > < a id = "l00142" name = "l00142" > < / a > < span class = "lineno" > 142< / span > < < solve_result.< a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a77d1ea96211300e9417b965981953c81" > termination< / a > ;< / div >
< div class = "line" > < a id = "l00143" name = "l00143" > < / a > < span class = "lineno" > 143< / span > }< / div >
< div class = "line" > < a id = "l00144" name = "l00144" > < / a > < span class = "lineno" > 144< / span > Configuration config;< / div >
< div class = "line" > < a id = "l00145" name = "l00145" > < / a > < span class = "lineno" > 145< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < num_pieces; ++i) {< / div >
< div class = "line" > < a id = "l00146" name = "l00146" > < / a > < span class = "lineno" > 146< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > use = < span class = "keyword" > static_cast< < / span > < span class = "keywordtype" > int< / span > < span class = "keyword" > > < / span > (< / div >
< div class = "line" > < a id = "l00147" name = "l00147" > < / a > < span class = "lineno" > 147< / span > std::round(solve_result.< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_solve_result.html#ac4a6e078f25aa73eec5271d449a12532" > variable_values< / a > ().at(pieces[i])));< / div >
< div class = "line" > < a id = "l00148" name = "l00148" > < / a > < span class = "lineno" > 148< / span > < span class = "keywordflow" > if< / span > (use > 0) {< / div >
< div class = "line" > < a id = "l00149" name = "l00149" > < / a > < span class = "lineno" > 149< / span > config.pieces.push_back(i);< / div >
< div class = "line" > < a id = "l00150" name = "l00150" > < / a > < span class = "lineno" > 150< / span > config.quantity.push_back(use);< / div >
< div class = "line" > < a id = "l00151" name = "l00151" > < / a > < span class = "lineno" > 151< / span > }< / div >
< div class = "line" > < a id = "l00152" name = "l00152" > < / a > < span class = "lineno" > 152< / span > }< / div >
< div class = "line" > < a id = "l00153" name = "l00153" > < / a > < span class = "lineno" > 153< / span > < span class = "keywordflow" > return< / span > std::make_pair(config, solve_result.< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a84f066c304d8bcbb9567be094feb9b08" > objective_value< / a > ());< / div >
< div class = "line" > < a id = "l00154" name = "l00154" > < / a > < span class = "lineno" > 154< / span > }< / div >
< div class = "line" > < a id = "l00155" name = "l00155" > < / a > < span class = "lineno" > 155< / span > < / div >
< div class = "line" > < a id = "l00156" name = "l00156" > < / a > < span class = "lineno" > 156< / span > < span class = "comment" > // Solves the full cutting stock problem by decomposition.< / span > < / div >
< div class = "line" > < a id = "l00157" name = "l00157" > < / a > < span class = "lineno" > 157< / span > absl::StatusOr< CuttingStockSolution> SolveCuttingStock(< / div >
< div class = "line" > < a id = "l00158" name = "l00158" > < / a > < span class = "lineno" > 158< / span > < span class = "keyword" > const< / span > CuttingStockInstance& instance) {< / div >
< div class = "line" > < a id = "l00159" name = "l00159" > < / a > < span class = "lineno" > 159< / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_model.html" > math_opt::Model< / a > < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > (< span class = "stringliteral" > " cutting_stock" < / span > );< / div >
< div class = "line" > < a id = "l00160" name = "l00160" > < / a > < span class = "lineno" > 160< / span > < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > .set_minimize();< / div >
< div class = "line" > < a id = "l00161" name = "l00161" > < / a > < span class = "lineno" > 161< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > n = instance.piece_sizes.size();< / div >
< div class = "line" > < a id = "l00162" name = "l00162" > < / a > < span class = "lineno" > 162< / span > std::vector< math_opt::LinearConstraint> demand_met;< / div >
< div class = "line" > < a id = "l00163" name = "l00163" > < / a > < span class = "lineno" > 163< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < n; ++i) {< / div >
< div class = "line" > < a id = "l00164" name = "l00164" > < / a > < span class = "lineno" > 164< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > d = instance.piece_demands[i];< / div >
< div class = "line" > < a id = "l00165" name = "l00165" > < / a > < span class = "lineno" > 165< / span > demand_met.push_back(< a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > .AddLinearConstraint(d, d));< / div >
< div class = "line" > < a id = "l00166" name = "l00166" > < / a > < span class = "lineno" > 166< / span > }< / div >
< div class = "line" > < a id = "l00167" name = "l00167" > < / a > < span class = "lineno" > 167< / span > std::vector< std::pair< Configuration, math_opt::Variable> > configs;< / div >
< div class = "line" > < a id = "l00168" name = "l00168" > < / a > < span class = "lineno" > 168< / span > < span class = "keyword" > auto< / span > add_config = [& ](< span class = "keyword" > const< / span > Configuration& config) {< / div >
< div class = "line" > < a id = "l00169" name = "l00169" > < / a > < span class = "lineno" > 169< / span > < span class = "keyword" > const< / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_variable.html" > math_opt::Variable< / a > v = < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > .AddContinuousVariable(0.0, < a class = "code hl_variable" href = "namespaceoperations__research_1_1math__opt.html#ad9f50c9313b35cc1e8887057dc4d9645" > kInf< / a > );< / div >
< div class = "line" > < a id = "l00170" name = "l00170" > < / a > < span class = "lineno" > 170< / span > < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > .set_objective_coefficient(v, 1);< / div >
< div class = "line" > < a id = "l00171" name = "l00171" > < / a > < span class = "lineno" > 171< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < config.pieces.size(); ++i) {< / div >
< div class = "line" > < a id = "l00172" name = "l00172" > < / a > < span class = "lineno" > 172< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > item = config.pieces[i];< / div >
< div class = "line" > < a id = "l00173" name = "l00173" > < / a > < span class = "lineno" > 173< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > use = config.quantity[i];< / div >
< div class = "line" > < a id = "l00174" name = "l00174" > < / a > < span class = "lineno" > 174< / span > < span class = "keywordflow" > if< / span > (use > = 1) {< / div >
< div class = "line" > < a id = "l00175" name = "l00175" > < / a > < span class = "lineno" > 175< / span > < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > .set_coefficient(demand_met[item], v, use);< / div >
< div class = "line" > < a id = "l00176" name = "l00176" > < / a > < span class = "lineno" > 176< / span > }< / div >
< div class = "line" > < a id = "l00177" name = "l00177" > < / a > < span class = "lineno" > 177< / span > }< / div >
< div class = "line" > < a id = "l00178" name = "l00178" > < / a > < span class = "lineno" > 178< / span > configs.push_back({config, v});< / div >
< div class = "line" > < a id = "l00179" name = "l00179" > < / a > < span class = "lineno" > 179< / span > };< / div >
< div class = "line" > < a id = "l00180" name = "l00180" > < / a > < span class = "lineno" > 180< / span > < / div >
< div class = "line" > < a id = "l00181" name = "l00181" > < / a > < span class = "lineno" > 181< / span > < span class = "comment" > // To ensure the leader problem is always feasible, begin a configuration for< / span > < / div >
< div class = "line" > < a id = "l00182" name = "l00182" > < / a > < span class = "lineno" > 182< / span > < span class = "comment" > // every item that has a single copy of the item.< / span > < / div >
< div class = "line" > < a id = "l00183" name = "l00183" > < / a > < span class = "lineno" > 183< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > i = 0; i < n; ++i) {< / div >
< div class = "line" > < a id = "l00184" name = "l00184" > < / a > < span class = "lineno" > 184< / span > add_config(Configuration{.pieces = {i}, .quantity = {1}});< / div >
< div class = "line" > < a id = "l00185" name = "l00185" > < / a > < span class = "lineno" > 185< / span > }< / div >
< div class = "line" > < a id = "l00186" name = "l00186" > < / a > < span class = "lineno" > 186< / span > < / div >
< div class = "line" > < a id = "l00187" name = "l00187" > < / a > < span class = "lineno" > 187< / span > < a class = "code hl_define" href = "base_2status__macros_8h.html#a600de4b8f65fe0a4b1898041634f9011" > ASSIGN_OR_RETURN< / a > (< span class = "keyword" > auto< / span > solver, < a class = "code hl_function" href = "classoperations__research_1_1math__opt_1_1_incremental_solver.html#ae216d134c8146dadaa9c16ef2ed1f7c4" > math_opt::IncrementalSolver::New< / a > (< / div >
< div class = "line" > < a id = "l00188" name = "l00188" > < / a > < span class = "lineno" > 188< / span > & < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > , math_opt::SolverType::kGlop));< / div >
< div class = "line" > < a id = "l00189" name = "l00189" > < / a > < span class = "lineno" > 189< / span > < span class = "keywordtype" > int< / span > pricing_round = 0;< / div >
< div class = "line" > < a id = "l00190" name = "l00190" > < / a > < span class = "lineno" > 190< / span > < span class = "keywordflow" > while< / span > (< span class = "keyword" > true< / span > ) {< / div >
< div class = "line" > < a id = "l00191" name = "l00191" > < / a > < span class = "lineno" > 191< / span > < a class = "code hl_define" href = "base_2status__macros_8h.html#a600de4b8f65fe0a4b1898041634f9011" > ASSIGN_OR_RETURN< / a > (< a class = "code hl_struct" href = "structoperations__research_1_1math__opt_1_1_solve_result.html" > math_opt::SolveResult< / a > solve_result, solver-> Solve());< / div >
< div class = "line" > < a id = "l00192" name = "l00192" > < / a > < span class = "lineno" > 192< / span > < span class = "keywordflow" > if< / span > (solve_result.< a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a77d1ea96211300e9417b965981953c81" > termination< / a > .< a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_termination.html#a36d5365d462f57468ba3a9d8ae6bbec9" > reason< / a > !=< / div >
< div class = "line" > < a id = "l00193" name = "l00193" > < / a > < span class = "lineno" > 193< / span > math_opt::TerminationReason::kOptimal) {< / div >
< div class = "line" > < a id = "l00194" name = "l00194" > < / a > < span class = "lineno" > 194< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_function" href = "namespaceutil.html#a302ee4bfcb86ea9ed64a193ed0b14648" > util::InternalErrorBuilder< / a > ()< / div >
< div class = "line" > < a id = "l00195" name = "l00195" > < / a > < span class = "lineno" > 195< / span > < < < span class = "stringliteral" > " Failed to solve leader LP problem to optimality at " < / span > < / div >
< div class = "line" > < a id = "l00196" name = "l00196" > < / a > < span class = "lineno" > 196< / span > < span class = "stringliteral" > " iteration " < / span > < / div >
2022-01-17 21:42:14 +01:00
< div class = "line" > < a id = "l00197" name = "l00197" > < / a > < span class = "lineno" > 197< / span > < < pricing_round < < < span class = "stringliteral" > " termination: " < / span > < < solve_result.< a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a77d1ea96211300e9417b965981953c81" > termination< / a > ;< / div >
< div class = "line" > < a id = "l00198" name = "l00198" > < / a > < span class = "lineno" > 198< / span > }< / div >
2022-03-04 00:11:33 +01:00
< div class = "line" > < a id = "l00199" name = "l00199" > < / a > < span class = "lineno" > 199< / span > < span class = "keywordflow" > if< / span > (!solve_result.< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a35cafd54aea7eb0aecf1cb6fa4b33273" > has_dual_feasible_solution< / a > ()) {< / div >
< div class = "line" > < a id = "l00200" name = "l00200" > < / a > < span class = "lineno" > 200< / span > < span class = "comment" > // MathOpt does not require solvers to return a dual solution on optimal,< / span > < / div >
< div class = "line" > < a id = "l00201" name = "l00201" > < / a > < span class = "lineno" > 201< / span > < span class = "comment" > // but most LP solvers always will, see go/mathopt-solver-contracts for< / span > < / div >
< div class = "line" > < a id = "l00202" name = "l00202" > < / a > < span class = "lineno" > 202< / span > < span class = "comment" > // details.< / span > < / div >
< div class = "line" > < a id = "l00203" name = "l00203" > < / a > < span class = "lineno" > 203< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_function" href = "namespaceutil.html#a302ee4bfcb86ea9ed64a193ed0b14648" > util::InternalErrorBuilder< / a > ()< / div >
< div class = "line" > < a id = "l00204" name = "l00204" > < / a > < span class = "lineno" > 204< / span > < < < span class = "stringliteral" > " no dual solution was returned with optimal solution at " < / span > < / div >
< div class = "line" > < a id = "l00205" name = "l00205" > < / a > < span class = "lineno" > 205< / span > < span class = "stringliteral" > " iteration " < / span > < / div >
< div class = "line" > < a id = "l00206" name = "l00206" > < / a > < span class = "lineno" > 206< / span > < < pricing_round;< / div >
< div class = "line" > < a id = "l00207" name = "l00207" > < / a > < span class = "lineno" > 207< / span > }< / div >
< div class = "line" > < a id = "l00208" name = "l00208" > < / a > < span class = "lineno" > 208< / span > std::vector< double> prices;< / div >
< div class = "line" > < a id = "l00209" name = "l00209" > < / a > < span class = "lineno" > 209< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_linear_constraint.html" > math_opt::LinearConstraint< / a > d : demand_met) {< / div >
< div class = "line" > < a id = "l00210" name = "l00210" > < / a > < span class = "lineno" > 210< / span > prices.push_back(solve_result.< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a116b227550e648d43bfbaccf9557ce42" > dual_values< / a > ().at(d));< / div >
2022-01-17 21:42:14 +01:00
< div class = "line" > < a id = "l00211" name = "l00211" > < / a > < span class = "lineno" > 211< / span > }< / div >
2022-03-04 00:11:33 +01:00
< div class = "line" > < a id = "l00212" name = "l00212" > < / a > < span class = "lineno" > 212< / span > < a class = "code hl_define" href = "base_2status__macros_8h.html#a600de4b8f65fe0a4b1898041634f9011" > ASSIGN_OR_RETURN< / a > (< / div >
< div class = "line" > < a id = "l00213" name = "l00213" > < / a > < span class = "lineno" > 213< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > [config, < a class = "code hl_variable" href = "demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514" > value< / a > ]),< / div >
< div class = "line" > < a id = "l00214" name = "l00214" > < / a > < span class = "lineno" > 214< / span > BestConfiguration(prices, instance.piece_sizes, instance.board_length));< / div >
< div class = "line" > < a id = "l00215" name = "l00215" > < / a > < span class = "lineno" > 215< / span > < span class = "keywordflow" > if< / span > (< a class = "code hl_variable" href = "demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514" > value< / a > < = 1 + 1e-3) {< / div >
< div class = "line" > < a id = "l00216" name = "l00216" > < / a > < span class = "lineno" > 216< / span > < span class = "comment" > // The LP relaxation is solved, we can stop adding columns.< / span > < / div >
< div class = "line" > < a id = "l00217" name = "l00217" > < / a > < span class = "lineno" > 217< / span > < span class = "keywordflow" > break< / span > ;< / div >
< div class = "line" > < a id = "l00218" name = "l00218" > < / a > < span class = "lineno" > 218< / span > }< / div >
< div class = "line" > < a id = "l00219" name = "l00219" > < / a > < span class = "lineno" > 219< / span > add_config(config);< / div >
< div class = "line" > < a id = "l00220" name = "l00220" > < / a > < span class = "lineno" > 220< / span > < a class = "code hl_define" href = "base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae" > LOG< / a > (< a class = "code hl_variable" href = "log__severity_8h.html#ab4a2cbab234914b320b7fae11b6e8cb9" > INFO< / a > ) < < < span class = "stringliteral" > " round: " < / span > < < pricing_round< / div >
< div class = "line" > < a id = "l00221" name = "l00221" > < / a > < span class = "lineno" > 221< / span > < < < span class = "stringliteral" > " lp objective: " < / span > < < solve_result.< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a84f066c304d8bcbb9567be094feb9b08" > objective_value< / a > ();< / div >
< div class = "line" > < a id = "l00222" name = "l00222" > < / a > < span class = "lineno" > 222< / span > pricing_round++;< / div >
< div class = "line" > < a id = "l00223" name = "l00223" > < / a > < span class = "lineno" > 223< / span > }< / div >
< div class = "line" > < a id = "l00224" name = "l00224" > < / a > < span class = "lineno" > 224< / span > < a class = "code hl_define" href = "base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae" > LOG< / a > (< a class = "code hl_variable" href = "log__severity_8h.html#ab4a2cbab234914b320b7fae11b6e8cb9" > INFO< / a > ) < < < span class = "stringliteral" > " Done adding columns, switching to MIP" < / span > ;< / div >
< div class = "line" > < a id = "l00225" name = "l00225" > < / a > < span class = "lineno" > 225< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & [config, < a class = "code hl_variable" href = "expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465" > var< / a > ] : configs) {< / div >
< div class = "line" > < a id = "l00226" name = "l00226" > < / a > < span class = "lineno" > 226< / span > < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > .set_integer(< a class = "code hl_variable" href = "expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465" > var< / a > );< / div >
< div class = "line" > < a id = "l00227" name = "l00227" > < / a > < span class = "lineno" > 227< / span > }< / div >
< div class = "line" > < a id = "l00228" name = "l00228" > < / a > < span class = "lineno" > 228< / span > < a class = "code hl_define" href = "base_2status__macros_8h.html#a600de4b8f65fe0a4b1898041634f9011" > ASSIGN_OR_RETURN< / a > (< span class = "keyword" > const< / span > < a class = "code hl_struct" href = "structoperations__research_1_1math__opt_1_1_solve_result.html" > math_opt::SolveResult< / a > solve_result,< / div >
< div class = "line" > < a id = "l00229" name = "l00229" > < / a > < span class = "lineno" > 229< / span > < a class = "code hl_function" href = "namespaceoperations__research_1_1math__opt.html#a5767ee23f380e72488d3c7ebf2d742b1" > math_opt::Solve< / a > (< a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > , math_opt::SolverType::kCpSat));< / div >
< div class = "line" > < a id = "l00230" name = "l00230" > < / a > < span class = "lineno" > 230< / span > < span class = "keywordflow" > switch< / span > (solve_result.< a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a77d1ea96211300e9417b965981953c81" > termination< / a > .< a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_termination.html#a36d5365d462f57468ba3a9d8ae6bbec9" > reason< / a > ) {< / div >
< div class = "line" > < a id = "l00231" name = "l00231" > < / a > < span class = "lineno" > 231< / span > < span class = "keywordflow" > case< / span > math_opt::TerminationReason::kOptimal:< / div >
< div class = "line" > < a id = "l00232" name = "l00232" > < / a > < span class = "lineno" > 232< / span > < span class = "keywordflow" > case< / span > math_opt::TerminationReason::kFeasible:< / div >
< div class = "line" > < a id = "l00233" name = "l00233" > < / a > < span class = "lineno" > 233< / span > < span class = "keywordflow" > break< / span > ;< / div >
< div class = "line" > < a id = "l00234" name = "l00234" > < / a > < span class = "lineno" > 234< / span > < span class = "keywordflow" > default< / span > :< / div >
< div class = "line" > < a id = "l00235" name = "l00235" > < / a > < span class = "lineno" > 235< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_function" href = "namespaceutil.html#a302ee4bfcb86ea9ed64a193ed0b14648" > util::InternalErrorBuilder< / a > ()< / div >
< div class = "line" > < a id = "l00236" name = "l00236" > < / a > < span class = "lineno" > 236< / span > < < < span class = "stringliteral" > " Failed to solve final cutting stock MIP, termination: " < / span > < / div >
< div class = "line" > < a id = "l00237" name = "l00237" > < / a > < span class = "lineno" > 237< / span > < < solve_result.< a class = "code hl_variable" href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a77d1ea96211300e9417b965981953c81" > termination< / a > ;< / div >
2022-01-17 21:42:14 +01:00
< div class = "line" > < a id = "l00238" name = "l00238" > < / a > < span class = "lineno" > 238< / span > }< / div >
2022-03-04 00:11:33 +01:00
< div class = "line" > < a id = "l00239" name = "l00239" > < / a > < span class = "lineno" > 239< / span > CuttingStockSolution solution;< / div >
< div class = "line" > < a id = "l00240" name = "l00240" > < / a > < span class = "lineno" > 240< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & [config, < a class = "code hl_variable" href = "expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465" > var< / a > ] : configs) {< / div >
< div class = "line" > < a id = "l00241" name = "l00241" > < / a > < span class = "lineno" > 241< / span > < span class = "keywordtype" > int< / span > use =< / div >
< div class = "line" > < a id = "l00242" name = "l00242" > < / a > < span class = "lineno" > 242< / span > < span class = "keyword" > static_cast< < / span > < span class = "keywordtype" > int< / span > < span class = "keyword" > > < / span > (std::round(solve_result.< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_solve_result.html#ac4a6e078f25aa73eec5271d449a12532" > variable_values< / a > ().at(< a class = "code hl_variable" href = "expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465" > var< / a > )));< / div >
< div class = "line" > < a id = "l00243" name = "l00243" > < / a > < span class = "lineno" > 243< / span > < span class = "keywordflow" > if< / span > (use > 0) {< / div >
< div class = "line" > < a id = "l00244" name = "l00244" > < / a > < span class = "lineno" > 244< / span > solution.configurations.push_back(config);< / div >
< div class = "line" > < a id = "l00245" name = "l00245" > < / a > < span class = "lineno" > 245< / span > solution.quantity.push_back(use);< / div >
< div class = "line" > < a id = "l00246" name = "l00246" > < / a > < span class = "lineno" > 246< / span > solution.objective_value += use;< / div >
< div class = "line" > < a id = "l00247" name = "l00247" > < / a > < span class = "lineno" > 247< / span > }< / div >
< div class = "line" > < a id = "l00248" name = "l00248" > < / a > < span class = "lineno" > 248< / span > }< / div >
< div class = "line" > < a id = "l00249" name = "l00249" > < / a > < span class = "lineno" > 249< / span > < span class = "keywordflow" > return< / span > solution;< / div >
< div class = "line" > < a id = "l00250" name = "l00250" > < / a > < span class = "lineno" > 250< / span > }< / div >
< div class = "line" > < a id = "l00251" name = "l00251" > < / a > < span class = "lineno" > 251< / span > < / div >
< div class = "line" > < a id = "l00252" name = "l00252" > < / a > < span class = "lineno" > 252< / span > absl::Status RealMain() {< / div >
< div class = "line" > < a id = "l00253" name = "l00253" > < / a > < span class = "lineno" > 253< / span > < span class = "comment" > // Data from https://en.wikipedia.org/wiki/Cutting_stock_problem< / span > < / div >
< div class = "line" > < a id = "l00254" name = "l00254" > < / a > < span class = "lineno" > 254< / span > CuttingStockInstance instance;< / div >
< div class = "line" > < a id = "l00255" name = "l00255" > < / a > < span class = "lineno" > 255< / span > instance.board_length = 5600;< / div >
< div class = "line" > < a id = "l00256" name = "l00256" > < / a > < span class = "lineno" > 256< / span > instance.piece_sizes = {1380, 1520, 1560, 1710, 1820, 1880, 1930,< / div >
< div class = "line" > < a id = "l00257" name = "l00257" > < / a > < span class = "lineno" > 257< / span > 2000, 2050, 2100, 2140, 2150, 2200};< / div >
< div class = "line" > < a id = "l00258" name = "l00258" > < / a > < span class = "lineno" > 258< / span > instance.piece_demands = {22, 25, 12, 14, 18, 18, 20, 10, 12, 14, 16, 18, 20};< / div >
< div class = "line" > < a id = "l00259" name = "l00259" > < / a > < span class = "lineno" > 259< / span > < a class = "code hl_define" href = "base_2status__macros_8h.html#a600de4b8f65fe0a4b1898041634f9011" > ASSIGN_OR_RETURN< / a > (CuttingStockSolution solution, SolveCuttingStock(instance));< / div >
< div class = "line" > < a id = "l00260" name = "l00260" > < / a > < span class = "lineno" > 260< / span > std::cout < < < span class = "stringliteral" > " Best known solution uses 73 rolls." < / span > < < std::endl;< / div >
< div class = "line" > < a id = "l00261" name = "l00261" > < / a > < span class = "lineno" > 261< / span > std::cout < < < span class = "stringliteral" > " Total rolls used in actual solution found: " < / span > < / div >
< div class = "line" > < a id = "l00262" name = "l00262" > < / a > < span class = "lineno" > 262< / span > < < solution.objective_value < < std::endl;< / div >
< div class = "line" > < a id = "l00263" name = "l00263" > < / a > < span class = "lineno" > 263< / span > < span class = "keywordflow" > return< / span > absl::OkStatus();< / div >
< div class = "line" > < a id = "l00264" name = "l00264" > < / a > < span class = "lineno" > 264< / span > }< / div >
< div class = "line" > < a id = "l00265" name = "l00265" > < / a > < span class = "lineno" > 265< / span > < / div >
< div class = "line" > < a id = "l00266" name = "l00266" > < / a > < span class = "lineno" > 266< / span > } < span class = "comment" > // namespace< / span > < / div >
< div class = "line" > < a id = "l00267" name = "l00267" > < / a > < span class = "lineno" > 267< / span > < / div >
< div class = "line" > < a id = "l00268" name = "l00268" > < / a > < span class = "lineno" > < a class = "line" href = "cutting__stock_8cc.html#a3c04138a5bfe5d72780bb7e82a18e627" > 268< / a > < / span > < span class = "keywordtype" > int< / span > < a class = "code hl_function" href = "cutting__stock_8cc.html#a3c04138a5bfe5d72780bb7e82a18e627" > main< / a > (< span class = "keywordtype" > int< / span > argc, < span class = "keywordtype" > char< / span > ** argv) {< / div >
< div class = "line" > < a id = "l00269" name = "l00269" > < / a > < span class = "lineno" > 269< / span > < a class = "code hl_function" href = "init__google_8h.html#a16af2bccb0196e1a9bb628559c95b7cb" > InitGoogle< / a > (argv[0], & argc, & argv, < span class = "keyword" > true< / span > );< / div >
< div class = "line" > < a id = "l00270" name = "l00270" > < / a > < span class = "lineno" > 270< / span > absl::Status result = RealMain();< / div >
< div class = "line" > < a id = "l00271" name = "l00271" > < / a > < span class = "lineno" > 271< / span > < span class = "keywordflow" > if< / span > (!result.ok()) {< / div >
< div class = "line" > < a id = "l00272" name = "l00272" > < / a > < span class = "lineno" > 272< / span > std::cout < < result;< / div >
< div class = "line" > < a id = "l00273" name = "l00273" > < / a > < span class = "lineno" > 273< / span > < span class = "keywordflow" > return< / span > 1;< / div >
< div class = "line" > < a id = "l00274" name = "l00274" > < / a > < span class = "lineno" > 274< / span > }< / div >
< div class = "line" > < a id = "l00275" name = "l00275" > < / a > < span class = "lineno" > 275< / span > < span class = "keywordflow" > return< / span > 0;< / div >
< div class = "line" > < a id = "l00276" name = "l00276" > < / a > < span class = "lineno" > 276< / span > }< / div >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "abase_2logging_8h_html" > < div class = "ttname" > < a href = "base_2logging_8h.html" > logging.h< / a > < / div > < / div >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "abase_2logging_8h_html_a7c0ce053b28d53aa4eaf3eb7fb71663b" > < div class = "ttname" > < a href = "base_2logging_8h.html#a7c0ce053b28d53aa4eaf3eb7fb71663b" > CHECK_EQ< / a > < / div > < div class = "ttdeci" > #define CHECK_EQ(val1, val2)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00703" > base/logging.h:703< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "abase_2logging_8h_html_accad43a85d781d53381cd53a9894b6ae" > < div class = "ttname" > < a href = "base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae" > LOG< / a > < / div > < div class = "ttdeci" > #define LOG(severity)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2logging_8h_source.html#l00420" > base/logging.h:420< / a > < / div > < / div >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "abase_2status__macros_8h_html" > < div class = "ttname" > < a href = "base_2status__macros_8h.html" > status_macros.h< / a > < / div > < / div >
< div class = "ttc" id = "abase_2status__macros_8h_html_a600de4b8f65fe0a4b1898041634f9011" > < div class = "ttname" > < a href = "base_2status__macros_8h.html#a600de4b8f65fe0a4b1898041634f9011" > ASSIGN_OR_RETURN< / a > < / div > < div class = "ttdeci" > #define ASSIGN_OR_RETURN(lhs, rexpr)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2status__macros_8h_source.html#l00046" > base/status_macros.h:46< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1math__opt_1_1_incremental_solver_html_ae216d134c8146dadaa9c16ef2ed1f7c4" > < div class = "ttname" > < a href = "classoperations__research_1_1math__opt_1_1_incremental_solver.html#ae216d134c8146dadaa9c16ef2ed1f7c4" > operations_research::math_opt::IncrementalSolver::New< / a > < / div > < div class = "ttdeci" > static absl::StatusOr< std::unique_ptr< IncrementalSolver > > New(Model *model, SolverType solver_type, SolverInitArguments arguments={})< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "solve_8cc_source.html#l00104" > solve.cc:104< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1math__opt_1_1_linear_constraint_html" > < div class = "ttname" > < a href = "classoperations__research_1_1math__opt_1_1_linear_constraint.html" > operations_research::math_opt::LinearConstraint< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "math__opt_2cpp_2linear__constraint_8h_source.html#l00033" > math_opt/cpp/linear_constraint.h:33< / a > < / div > < / div >
< div class = "ttc" id = "aclassoperations__research_1_1math__opt_1_1_model_html" > < div class = "ttname" > < a href = "classoperations__research_1_1math__opt_1_1_model.html" > operations_research::math_opt::Model< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "math__opt_2cpp_2model_8h_source.html#l00091" > math_opt/cpp/model.h:91< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "aclassoperations__research_1_1math__opt_1_1_variable_html" > < div class = "ttname" > < a href = "classoperations__research_1_1math__opt_1_1_variable.html" > operations_research::math_opt::Variable< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "variable__and__expressions_8h_source.html#l00115" > variable_and_expressions.h:115< / a > < / div > < / div >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "acutting__stock_8cc_html_a3c04138a5bfe5d72780bb7e82a18e627" > < div class = "ttname" > < a href = "cutting__stock_8cc.html#a3c04138a5bfe5d72780bb7e82a18e627" > main< / a > < / div > < div class = "ttdeci" > int main(int argc, char **argv)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "cutting__stock_8cc_source.html#l00268" > cutting_stock.cc:268< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "ademon__profiler_8cc_html_ac072af30c4ffbc834bb4c681f6ecb514" > < div class = "ttname" > < a href = "demon__profiler_8cc.html#ac072af30c4ffbc834bb4c681f6ecb514" > value< / a > < / div > < div class = "ttdeci" > int64_t value< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "demon__profiler_8cc_source.html#l00044" > demon_profiler.cc:44< / a > < / div > < / div >
< div class = "ttc" id = "aexpr__array_8cc_html_a472a99923cbe11ae7b5a5d157d9ad465" > < div class = "ttname" > < a href = "expr__array_8cc.html#a472a99923cbe11ae7b5a5d157d9ad465" > var< / a > < / div > < div class = "ttdeci" > IntVar * var< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "expr__array_8cc_source.html#l01874" > expr_array.cc:1874< / a > < / div > < / div >
< div class = "ttc" id = "agurobi__interface_8cc_html_a0728f23c9a47655d38e0bf1a2f200bcf" > < div class = "ttname" > < a href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > < / div > < div class = "ttdeci" > GRBmodel * model< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "gurobi__interface_8cc_source.html#l00274" > gurobi_interface.cc:274< / a > < / div > < / div >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "ainit__google_8h_html" > < div class = "ttname" > < a href = "init__google_8h.html" > init_google.h< / a > < / div > < / div >
< div class = "ttc" id = "ainit__google_8h_html_a16af2bccb0196e1a9bb628559c95b7cb" > < div class = "ttname" > < a href = "init__google_8h.html#a16af2bccb0196e1a9bb628559c95b7cb" > InitGoogle< / a > < / div > < div class = "ttdeci" > void InitGoogle(const char *usage, int *argc, char ***argv, bool deprecated)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "init__google_8h_source.html#l00032" > init_google.h:32< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "alog__severity_8h_html_ab4a2cbab234914b320b7fae11b6e8cb9" > < div class = "ttname" > < a href = "log__severity_8h.html#ab4a2cbab234914b320b7fae11b6e8cb9" > INFO< / a > < / div > < div class = "ttdeci" > const int INFO< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "log__severity_8h_source.html#l00031" > log_severity.h:31< / a > < / div > < / div >
< div class = "ttc" id = "amath__opt_8h_html" > < div class = "ttname" > < a href = "math__opt_8h.html" > math_opt.h< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1math__opt_html" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1math__opt.html" > operations_research::math_opt< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "arrow__operator__proxy_8h_source.html#l00020" > arrow_operator_proxy.h:20< / a > < / div > < / div >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "anamespaceoperations__research_1_1math__opt_html_a5767ee23f380e72488d3c7ebf2d742b1" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1math__opt.html#a5767ee23f380e72488d3c7ebf2d742b1" > operations_research::math_opt::Solve< / a > < / div > < div class = "ttdeci" > absl::StatusOr< SolveResult > Solve(const Model & model, const SolverType solver_type, const SolveArguments & solve_args, const SolverInitArguments & init_args)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "solve_8cc_source.html#l00094" > solve.cc:94< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "anamespaceoperations__research_1_1math__opt_html_a7e30ee72c333408fd39ddd21c527794c" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1math__opt.html#a7e30ee72c333408fd39ddd21c527794c" > operations_research::math_opt::InnerProduct< / a > < / div > < div class = "ttdeci" > LinearExpression InnerProduct(const LeftIterable & left, const RightIterable & right)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "variable__and__expressions_8h_source.html#l01245" > variable_and_expressions.h:1245< / a > < / div > < / div >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "anamespaceoperations__research_1_1math__opt_html_ad9f50c9313b35cc1e8887057dc4d9645" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1math__opt.html#ad9f50c9313b35cc1e8887057dc4d9645" > operations_research::math_opt::kInf< / a > < / div > < div class = "ttdeci" > constexpr double kInf< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "variable__and__expressions_8cc_source.html#l00029" > variable_and_expressions.cc:29< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceutil_html_a302ee4bfcb86ea9ed64a193ed0b14648" > < div class = "ttname" > < a href = "namespaceutil.html#a302ee4bfcb86ea9ed64a193ed0b14648" > util::InternalErrorBuilder< / a > < / div > < div class = "ttdeci" > StatusBuilder InternalErrorBuilder()< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "status__builder_8h_source.html#l00084" > status_builder.h:84< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "astatus__builder_8h_html" > < div class = "ttname" > < a href = "status__builder_8h.html" > status_builder.h< / a > < / div > < / div >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_solve_result_html" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_solve_result.html" > operations_research::math_opt::SolveResult< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "solve__result_8h_source.html#l00295" > solve_result.h:295< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_solve_result_html_a116b227550e648d43bfbaccf9557ce42" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a116b227550e648d43bfbaccf9557ce42" > operations_research::math_opt::SolveResult::dual_values< / a > < / div > < div class = "ttdeci" > const LinearConstraintMap< double > & dual_values() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "solve__result_8cc_source.html#l00385" > solve_result.cc:385< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_solve_result_html_a35cafd54aea7eb0aecf1cb6fa4b33273" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a35cafd54aea7eb0aecf1cb6fa4b33273" > operations_research::math_opt::SolveResult::has_dual_feasible_solution< / a > < / div > < div class = "ttdeci" > bool has_dual_feasible_solution() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "solve__result_8cc_source.html#l00379" > solve_result.cc:379< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_solve_result_html_a77d1ea96211300e9417b965981953c81" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a77d1ea96211300e9417b965981953c81" > operations_research::math_opt::SolveResult::termination< / a > < / div > < div class = "ttdeci" > Termination termination< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "solve__result_8h_source.html#l00300" > solve_result.h:300< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_solve_result_html_a84f066c304d8bcbb9567be094feb9b08" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a84f066c304d8bcbb9567be094feb9b08" > operations_research::math_opt::SolveResult::objective_value< / a > < / div > < div class = "ttdeci" > double objective_value() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "solve__result_8cc_source.html#l00358" > solve_result.cc:358< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_solve_result_html_ac4a6e078f25aa73eec5271d449a12532" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_solve_result.html#ac4a6e078f25aa73eec5271d449a12532" > operations_research::math_opt::SolveResult::variable_values< / a > < / div > < div class = "ttdeci" > const VariableMap< double > & variable_values() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "solve__result_8cc_source.html#l00369" > solve_result.cc:369< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_termination_html_a36d5365d462f57468ba3a9d8ae6bbec9" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_termination.html#a36d5365d462f57468ba3a9d8ae6bbec9" > operations_research::math_opt::Termination::reason< / a > < / div > < div class = "ttdeci" > TerminationReason reason< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "solve__result_8h_source.html#l00261" > solve_result.h:261< / a > < / div > < / div >
< div class = "ttc" id = "atrust__region_8cc_html_a69703b8569462134ad4e22ab0133e418" > < div class = "ttname" > < a href = "trust__region_8cc.html#a69703b8569462134ad4e22ab0133e418" > objective_value< / a > < / div > < div class = "ttdeci" > double objective_value< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "trust__region_8cc_source.html#l00167" > trust_region.cc:167< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< / div > <!-- fragment --> < / div > <!-- contents -->
< / div > <!-- doc - content -->
<!-- HTML footer for doxygen 1.8.18 -->
<!-- start footer part -->
< div id = "nav-path" class = "navpath" > <!-- id is needed for treeview function! -->
< ul >
< li class = "navelem" > < a class = "el" href = "dir_a7cc1eeded8f693d0da6c729bc88c45a.html" > ortools< / a > < / li > < li class = "navelem" > < a class = "el" href = "dir_1defc00030ff81d309105e053121082f.html" > math_opt< / a > < / li > < li class = "navelem" > < a class = "el" href = "dir_78fcc6012c6d52c0cff71d4892279593.html" > samples< / a > < / li > < li class = "navelem" > < a class = "el" href = "cutting__stock_8cc.html" > cutting_stock.cc< / a > < / li >
< li class = "footer" > Generated by
< a href = "http://www.doxygen.org/index.html" >
< img class = "footer" src = "doxygen.png" alt = "doxygen" / > < / a > 1.9.3 < / li >
< / ul >
< / div >
< / body >
< / html >
