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< a href = "facility__lp__benders_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 >
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< div class = "line" > < a id = "l00014" name = "l00014" > < / a > < span class = "lineno" > 14< / span > < span class = "comment" > // An advanced benders decomposition example< / span > < / div >
< div class = "line" > < a id = "l00015" name = "l00015" > < / a > < span class = "lineno" > 15< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00016" name = "l00016" > < / a > < span class = "lineno" > 16< / span > < span class = "comment" > // We consider a network design problem where each location has a demand that< / span > < / div >
< div class = "line" > < a id = "l00017" name = "l00017" > < / a > < span class = "lineno" > 17< / span > < span class = "comment" > // must be met by its neighboring facilities, and each facility can control< / span > < / div >
< div class = "line" > < a id = "l00018" name = "l00018" > < / a > < span class = "lineno" > 18< / span > < span class = "comment" > // its total capacity. In this version we also require that locations cannot< / span > < / div >
< div class = "line" > < a id = "l00019" name = "l00019" > < / a > < span class = "lineno" > 19< / span > < span class = "comment" > // use more that a specified fraction of a facilities capacity.< / span > < / div >
< div class = "line" > < a id = "l00020" name = "l00020" > < / a > < span class = "lineno" > 20< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00021" name = "l00021" > < / a > < span class = "lineno" > 21< / span > < span class = "comment" > // Problem data:< / span > < / div >
< div class = "line" > < a id = "l00022" name = "l00022" > < / a > < span class = "lineno" > 22< / span > < span class = "comment" > // * F: set of facilities.< / span > < / div >
< div class = "line" > < a id = "l00023" name = "l00023" > < / a > < span class = "lineno" > 23< / span > < span class = "comment" > // * L: set of locations.< / span > < / div >
< div class = "line" > < a id = "l00024" name = "l00024" > < / a > < span class = "lineno" > 24< / span > < span class = "comment" > // * E: subset of {(f,l) : f in F, l in L} that describes the network between< / span > < / div >
< div class = "line" > < a id = "l00025" name = "l00025" > < / a > < span class = "lineno" > 25< / span > < span class = "comment" > // facilities and locations.< / span > < / div >
< div class = "line" > < a id = "l00026" name = "l00026" > < / a > < span class = "lineno" > 26< / span > < span class = "comment" > // * d: demand at location (all demands are equal for simplicity).< / span > < / div >
< div class = "line" > < a id = "l00027" name = "l00027" > < / a > < span class = "lineno" > 27< / span > < span class = "comment" > // * c: cost per unit of capacity at a facility (all facilities are have the< / span > < / div >
< div class = "line" > < a id = "l00028" name = "l00028" > < / a > < span class = "lineno" > 28< / span > < span class = "comment" > // same cost for simplicity).< / span > < / div >
< div class = "line" > < a id = "l00029" name = "l00029" > < / a > < span class = "lineno" > 29< / span > < span class = "comment" > // * h: cost per unit transported through an edge.< / span > < / div >
< div class = "line" > < a id = "l00030" name = "l00030" > < / a > < span class = "lineno" > 30< / span > < span class = "comment" > // * a: fraction of a facility' s capacity that can be used by each location.< / span > < / div >
< div class = "line" > < a id = "l00031" name = "l00031" > < / a > < span class = "lineno" > 31< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00032" name = "l00032" > < / a > < span class = "lineno" > 32< / span > < span class = "comment" > // Decision variables:< / span > < / div >
< div class = "line" > < a id = "l00033" name = "l00033" > < / a > < span class = "lineno" > 33< / span > < span class = "comment" > // * z_f: capacity at facility f in F.< / span > < / div >
< div class = "line" > < a id = "l00034" name = "l00034" > < / a > < span class = "lineno" > 34< / span > < span class = "comment" > // * x_(f,l): flow from facility f to location l for all (f,l) in E.< / span > < / div >
< div class = "line" > < a id = "l00035" name = "l00035" > < / a > < span class = "lineno" > 35< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00036" name = "l00036" > < / a > < span class = "lineno" > 36< / span > < span class = "comment" > // Formulation:< / span > < / div >
< div class = "line" > < a id = "l00037" name = "l00037" > < / a > < span class = "lineno" > 37< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00038" name = "l00038" > < / a > < span class = "lineno" > 38< / span > < span class = "comment" > // min c * sum(z_f : f in F) + sum(h_e * x_e : e in E)< / span > < / div >
< div class = "line" > < a id = "l00039" name = "l00039" > < / a > < span class = "lineno" > 39< / span > < span class = "comment" > // s.t.< / span > < / div >
< div class = "line" > < a id = "l00040" name = "l00040" > < / a > < span class = "lineno" > 40< / span > < span class = "comment" > // x_(f,l) < = a * z_f for all (f,l) in E< / span > < / div >
< div class = "line" > < a id = "l00041" name = "l00041" > < / a > < span class = "lineno" > 41< / span > < span class = "comment" > // sum(x_(f,l) : l such that (f,l) in E) < = z_f for all f in F< / span > < / div >
< div class = "line" > < a id = "l00042" name = "l00042" > < / a > < span class = "lineno" > 42< / span > < span class = "comment" > // sum(x_(f,l) : f such that (f,l) in E) > = d for all l in L< / span > < / div >
< div class = "line" > < a id = "l00043" name = "l00043" > < / a > < span class = "lineno" > 43< / span > < span class = "comment" > // x_e > = 0 for all e in E< / span > < / div >
< div class = "line" > < a id = "l00044" name = "l00044" > < / a > < span class = "lineno" > 44< / span > < span class = "comment" > // z_f > = 0 for all f in F< / span > < / div >
< div class = "line" > < a id = "l00045" name = "l00045" > < / a > < span class = "lineno" > 45< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00046" name = "l00046" > < / a > < span class = "lineno" > 46< / span > < span class = "comment" > // Below we solve this problem directly and using a benders decompostion< / span > < / div >
< div class = "line" > < a id = "l00047" name = "l00047" > < / a > < span class = "lineno" > 47< / span > < span class = "comment" > // approach.< / span > < / div >
< div class = "line" > < a id = "l00048" name = "l00048" > < / a > < span class = "lineno" > 48< / span > < / div >
< div class = "line" > < a id = "l00049" name = "l00049" > < / a > < span class = "lineno" > 49< / span > < span class = "preprocessor" > #include < algorithm> < / span > < / div >
< div class = "line" > < a id = "l00050" name = "l00050" > < / a > < span class = "lineno" > 50< / span > < span class = "preprocessor" > #include < iostream> < / span > < / div >
< div class = "line" > < a id = "l00051" name = "l00051" > < / a > < span class = "lineno" > 51< / span > < span class = "preprocessor" > #include < limits> < / span > < / div >
< div class = "line" > < a id = "l00052" name = "l00052" > < / a > < span class = "lineno" > 52< / span > < span class = "preprocessor" > #include < utility> < / span > < / div >
< div class = "line" > < a id = "l00053" name = "l00053" > < / a > < span class = "lineno" > 53< / span > < span class = "preprocessor" > #include < vector> < / span > < / div >
< div class = "line" > < a id = "l00054" name = "l00054" > < / a > < span class = "lineno" > 54< / span > < / div >
< div class = "line" > < a id = "l00055" name = "l00055" > < / a > < span class = "lineno" > 55< / span > < span class = "preprocessor" > #include " absl/container/flat_hash_map.h" < / span > < / div >
< div class = "line" > < a id = "l00056" name = "l00056" > < / a > < span class = "lineno" > 56< / span > < span class = "preprocessor" > #include " absl/flags/flag.h" < / span > < / div >
< div class = "line" > < a id = "l00057" name = "l00057" > < / a > < span class = "lineno" > 57< / span > < span class = "preprocessor" > #include " absl/random/random.h" < / span > < / div >
< div class = "line" > < a id = "l00058" name = "l00058" > < / a > < span class = "lineno" > 58< / span > < span class = "preprocessor" > #include " absl/random/seed_sequences.h" < / span > < / div >
< div class = "line" > < a id = "l00059" name = "l00059" > < / a > < span class = "lineno" > 59< / span > < span class = "preprocessor" > #include " absl/random/uniform_int_distribution.h" < / span > < / div >
< div class = "line" > < a id = "l00060" name = "l00060" > < / a > < span class = "lineno" > 60< / span > < span class = "preprocessor" > #include " absl/status/status.h" < / span > < / div >
< div class = "line" > < a id = "l00061" name = "l00061" > < / a > < span class = "lineno" > 61< / span > < span class = "preprocessor" > #include " absl/status/statusor.h" < / span > < / div >
< div class = "line" > < a id = "l00062" name = "l00062" > < / a > < span class = "lineno" > 62< / span > < span class = "preprocessor" > #include " absl/strings/str_format.h" < / span > < / div >
< div class = "line" > < a id = "l00063" name = "l00063" > < / a > < span class = "lineno" > 63< / span > < span class = "preprocessor" > #include " absl/strings/string_view.h" < / span > < / div >
< div class = "line" > < a id = "l00064" name = "l00064" > < / a > < span class = "lineno" > 64< / span > < span class = "preprocessor" > #include " absl/time/clock.h" < / span > < / div >
< div class = "line" > < a id = "l00065" name = "l00065" > < / a > < span class = "lineno" > 65< / span > < span class = "preprocessor" > #include " absl/time/time.h" < / span > < / div >
< div class = "line" > < a id = "l00066" name = "l00066" > < / a > < span class = "lineno" > 66< / 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 = "l00067" name = "l00067" > < / a > < span class = "lineno" > 67< / 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 = "l00068" name = "l00068" > < / a > < span class = "lineno" > 68< / 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 = "l00069" name = "l00069" > < / a > < span class = "lineno" > 69< / 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 = "l00070" name = "l00070" > < / a > < span class = "lineno" > 70< / span > < span class = "preprocessor" > #include " < a class = "code" href = "util_2status__macros_8h.html" > ortools/util/status_macros.h< / a > " < / span > < / div >
< div class = "line" > < a id = "l00071" name = "l00071" > < / a > < span class = "lineno" > 71< / span > < / div >
< div class = "line" > < a id = "l00072" name = "l00072" > < / a > < span class = "lineno" > < a class = "line" href = "facility__lp__benders_8cc.html#ab408ded47ed4632487b6f538ae4df9d0" > 72< / a > < / span > < a class = "code hl_function" href = "facility__lp__benders_8cc.html#ab408ded47ed4632487b6f538ae4df9d0" > ABSL_FLAG< / a > (< span class = "keywordtype" > int< / span > , num_facilities, 3000, < span class = "stringliteral" > " Number of facilities." < / span > );< / div >
< div class = "line" > < a id = "l00073" name = "l00073" > < / a > < span class = "lineno" > < a class = "line" href = "facility__lp__benders_8cc.html#a187b2452ce7ffbf3dc80a9c6ccc8b4d4" > 73< / a > < / span > < a class = "code hl_function" href = "facility__lp__benders_8cc.html#ab408ded47ed4632487b6f538ae4df9d0" > ABSL_FLAG< / a > (< span class = "keywordtype" > int< / span > , num_locations, 50, < span class = "stringliteral" > " Number of locations." < / span > );< / div >
< div class = "line" > < a id = "l00074" name = "l00074" > < / a > < span class = "lineno" > < a class = "line" href = "facility__lp__benders_8cc.html#a589d83de6bdfda324029266b63574e44" > 74< / a > < / span > < a class = "code hl_function" href = "facility__lp__benders_8cc.html#ab408ded47ed4632487b6f538ae4df9d0" > ABSL_FLAG< / a > (< span class = "keywordtype" > double< / span > , edge_probability, 0.99, < span class = "stringliteral" > " Edge probability." < / span > );< / div >
< div class = "line" > < a id = "l00075" name = "l00075" > < / a > < span class = "lineno" > < a class = "line" href = "facility__lp__benders_8cc.html#ab26c80732ec6702942ce6b3d16027861" > 75< / a > < / span > < a class = "code hl_function" href = "facility__lp__benders_8cc.html#ab408ded47ed4632487b6f538ae4df9d0" > ABSL_FLAG< / a > (< span class = "keywordtype" > double< / span > , benders_precission, 1e-9, < span class = "stringliteral" > " Benders target precission." < / span > );< / div >
< div class = "line" > < a id = "l00076" name = "l00076" > < / a > < span class = "lineno" > < a class = "line" href = "facility__lp__benders_8cc.html#a3d6782a997bb7c460159f23717a3a622" > 76< / a > < / span > < a class = "code hl_function" href = "facility__lp__benders_8cc.html#ab408ded47ed4632487b6f538ae4df9d0" > ABSL_FLAG< / a > (< span class = "keywordtype" > double< / span > , location_demand, 1, < span class = "stringliteral" > " Client demands." < / span > );< / div >
< div class = "line" > < a id = "l00077" name = "l00077" > < / a > < span class = "lineno" > < a class = "line" href = "facility__lp__benders_8cc.html#a70ca27183ea1caa3da0c437d9124d7b2" > 77< / a > < / span > < a class = "code hl_function" href = "facility__lp__benders_8cc.html#ab408ded47ed4632487b6f538ae4df9d0" > ABSL_FLAG< / a > (< span class = "keywordtype" > double< / span > , facility_cost, 100, < span class = "stringliteral" > " Facility capacity cost." < / span > );< / div >
< div class = "line" > < a id = "l00078" name = "l00078" > < / a > < span class = "lineno" > < a class = "line" href = "facility__lp__benders_8cc.html#a36423080607ac8d3b16d220c1f4d0c62" > 78< / a > < / span > < a class = "code hl_function" href = "facility__lp__benders_8cc.html#ab408ded47ed4632487b6f538ae4df9d0" > ABSL_FLAG< / a > (< / div >
< div class = "line" > < a id = "l00079" name = "l00079" > < / a > < span class = "lineno" > 79< / span > < span class = "keywordtype" > double< / span > , location_fraction, 0.001,< / div >
< div class = "line" > < a id = "l00080" name = "l00080" > < / a > < span class = "lineno" > 80< / span > < span class = "stringliteral" > " Fraction of a facility' s capacity that can be used by each location." < / span > );< / div >
< div class = "line" > < a id = "l00081" name = "l00081" > < / a > < span class = "lineno" > < a class = "line" href = "facility__lp__benders_8cc.html#a8877ac7799451df01858e6a1b79a4ba3" > 81< / a > < / span > < a class = "code hl_function" href = "facility__lp__benders_8cc.html#ab408ded47ed4632487b6f538ae4df9d0" > ABSL_FLAG< / a > (< a class = "code hl_enumeration" href = "namespaceoperations__research_1_1math__opt.html#a8b06041d7c1fb05f379714f4312306ec" > operations_research::math_opt::SolverType< / a > , solver_type,< / div >
< div class = "line" > < a id = "l00082" name = "l00082" > < / a > < span class = "lineno" > 82< / span > < a class = "code hl_enumvalue" href = "namespaceoperations__research_1_1math__opt.html#a8b06041d7c1fb05f379714f4312306eca512b5059e1ca814e697fb191d93aaf7f" > operations_research::math_opt::SolverType::kGlop< / a > ,< / div >
< div class = "line" > < a id = "l00083" name = "l00083" > < / a > < span class = "lineno" > 83< / span > < span class = "stringliteral" > " the LP solver to use, possible values: glop, gurobi, glpk, pdlp" < / span > );< / div >
< div class = "line" > < a id = "l00084" name = "l00084" > < / a > < span class = "lineno" > 84< / span > < / div >
< div class = "line" > < a id = "l00085" name = "l00085" > < / a > < span class = "lineno" > 85< / span > < span class = "keyword" > namespace < / span > {< / div >
< div class = "line" > < a id = "l00086" name = "l00086" > < / a > < span class = "lineno" > 86< / span > < / div >
< div class = "line" > < a id = "l00087" name = "l00087" > < / a > < span class = "lineno" > 87< / 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 = "l00088" name = "l00088" > < / a > < span class = "lineno" > 88< / 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 = "l00089" name = "l00089" > < / a > < span class = "lineno" > 89< / span > < span class = "keyword" > constexpr< / span > < span class = "keywordtype" > double< / span > < a class = "code hl_variable" href = "lagrangian__relaxation_8cc.html#a6ffb9a02546adae760787b2366ae6e41" > kZeroTol< / a > = 1.0e-3;< / div >
< div class = "line" > < a id = "l00090" name = "l00090" > < / a > < span class = "lineno" > 90< / span > < / div >
< div class = "line" > < a id = "l00092" name = "l00092" > < / a > < span class = "lineno" > 92< / span > < span class = "comment" > // Facility location instance representation and generation< / span > < / div >
< div class = "line" > < a id = "l00094" name = "l00094" > < / a > < span class = "lineno" > 94< / span > < span class = "comment" > < / span > < / div >
< div class = "line" > < a id = "l00095" name = "l00095" > < / a > < span class = "lineno" > 95< / span > < span class = "comment" > // First element is a facility and second is a location.< / span > < / div >
< div class = "line" > < a id = "l00096" name = "l00096" > < / a > < span class = "lineno" > 96< / span > < span class = "keyword" > using< / span > Edge = std::pair< int, int> ;< / 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" > // A simple randomly-generated facility-location network.< / span > < / div >
< div class = "line" > < a id = "l00099" name = "l00099" > < / a > < span class = "lineno" > 99< / span > < span class = "keyword" > class < / span > Network {< / div >
< div class = "line" > < a id = "l00100" name = "l00100" > < / a > < span class = "lineno" > 100< / span > < span class = "keyword" > public< / span > :< / div >
< div class = "line" > < a id = "l00101" name = "l00101" > < / a > < span class = "lineno" > 101< / span > Network(< span class = "keywordtype" > int< / span > num_facilities, < span class = "keywordtype" > int< / span > num_locations, < span class = "keywordtype" > double< / span > edge_probability);< / div >
< div class = "line" > < a id = "l00102" name = "l00102" > < / a > < span class = "lineno" > 102< / span > < / div >
< div class = "line" > < a id = "l00103" name = "l00103" > < / a > < span class = "lineno" > 103< / span > < span class = "keywordtype" > int< / span > num_facilities()< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > num_facilities_; }< / div >
< div class = "line" > < a id = "l00104" name = "l00104" > < / a > < span class = "lineno" > 104< / span > < span class = "keywordtype" > int< / span > num_locations()< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > num_locations_; }< / 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 = "keyword" > const< / span > std::vector< Edge> & edges()< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > edges_; }< / div >
< div class = "line" > < a id = "l00107" name = "l00107" > < / a > < span class = "lineno" > 107< / span > < / div >
< div class = "line" > < a id = "l00108" name = "l00108" > < / a > < span class = "lineno" > 108< / span > < span class = "keyword" > const< / span > std::vector< Edge> & edges_incident_to_facility(< / div >
< div class = "line" > < a id = "l00109" name = "l00109" > < / a > < span class = "lineno" > 109< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > facility)< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00110" name = "l00110" > < / a > < span class = "lineno" > 110< / span > < span class = "keywordflow" > return< / span > facility_edge_incidence_[facility];< / div >
< div class = "line" > < a id = "l00111" name = "l00111" > < / a > < span class = "lineno" > 111< / span > }< / div >
< div class = "line" > < a id = "l00112" name = "l00112" > < / a > < span class = "lineno" > 112< / span > < / div >
< div class = "line" > < a id = "l00113" name = "l00113" > < / a > < span class = "lineno" > 113< / span > < span class = "keyword" > const< / span > std::vector< Edge> & edges_incident_to_location(< / div >
< div class = "line" > < a id = "l00114" name = "l00114" > < / a > < span class = "lineno" > 114< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > location)< span class = "keyword" > const < / span > {< / div >
< div class = "line" > < a id = "l00115" name = "l00115" > < / a > < span class = "lineno" > 115< / span > < span class = "keywordflow" > return< / span > location_edge_incidence_[location];< / 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 > < / div >
< div class = "line" > < a id = "l00118" name = "l00118" > < / a > < span class = "lineno" > 118< / span > < span class = "keywordtype" > double< / span > edge_cost(< span class = "keyword" > const< / span > Edge& edge)< span class = "keyword" > const < / span > { < span class = "keywordflow" > return< / span > edge_costs_.at(edge); }< / div >
< div class = "line" > < a id = "l00119" name = "l00119" > < / a > < span class = "lineno" > 119< / span > < / div >
< div class = "line" > < a id = "l00120" name = "l00120" > < / a > < span class = "lineno" > 120< / span > < span class = "keyword" > private< / span > :< / div >
< div class = "line" > < a id = "l00121" name = "l00121" > < / a > < span class = "lineno" > 121< / span > < span class = "keywordtype" > int< / span > num_facilities_;< / div >
< div class = "line" > < a id = "l00122" name = "l00122" > < / a > < span class = "lineno" > 122< / span > < span class = "keywordtype" > int< / span > num_locations_;< / div >
< div class = "line" > < a id = "l00123" name = "l00123" > < / a > < span class = "lineno" > 123< / span > < span class = "comment" > // No order is assumed for the following lists of edges.< / span > < / div >
< div class = "line" > < a id = "l00124" name = "l00124" > < / a > < span class = "lineno" > 124< / span > std::vector< Edge> edges_;< / div >
< div class = "line" > < a id = "l00125" name = "l00125" > < / a > < span class = "lineno" > 125< / span > absl::flat_hash_map< Edge, double> edge_costs_;< / div >
< div class = "line" > < a id = "l00126" name = "l00126" > < / a > < span class = "lineno" > 126< / span > std::vector< std::vector< Edge> > facility_edge_incidence_;< / div >
< div class = "line" > < a id = "l00127" name = "l00127" > < / a > < span class = "lineno" > 127< / span > std::vector< std::vector< Edge> > location_edge_incidence_;< / div >
< div class = "line" > < a id = "l00128" name = "l00128" > < / a > < span class = "lineno" > 128< / span > };< / div >
< div class = "line" > < a id = "l00129" name = "l00129" > < / a > < span class = "lineno" > 129< / span > < / div >
< div class = "line" > < a id = "l00130" name = "l00130" > < / a > < span class = "lineno" > 130< / span > Network::Network(< span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > num_facilities, < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > num_locations,< / div >
< div class = "line" > < a id = "l00131" name = "l00131" > < / a > < span class = "lineno" > 131< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > double< / span > edge_probability) {< / div >
< div class = "line" > < a id = "l00132" name = "l00132" > < / a > < span class = "lineno" > 132< / span > absl::SeedSeq seq({1, 2, 3});< / div >
< div class = "line" > < a id = "l00133" name = "l00133" > < / a > < span class = "lineno" > 133< / span > absl::BitGen bitgen(seq);< / div >
< div class = "line" > < a id = "l00134" name = "l00134" > < / a > < span class = "lineno" > 134< / span > < / div >
< div class = "line" > < a id = "l00135" name = "l00135" > < / a > < span class = "lineno" > 135< / span > num_facilities_ = num_facilities;< / div >
< div class = "line" > < a id = "l00136" name = "l00136" > < / a > < span class = "lineno" > 136< / span > num_locations_ = num_locations;< / div >
< div class = "line" > < a id = "l00137" name = "l00137" > < / a > < span class = "lineno" > 137< / span > facility_edge_incidence_ =< / div >
< div class = "line" > < a id = "l00138" name = "l00138" > < / a > < span class = "lineno" > 138< / span > std::vector< std::vector< std::pair< int, int> > > (num_facilities);< / div >
< div class = "line" > < a id = "l00139" name = "l00139" > < / a > < span class = "lineno" > 139< / span > location_edge_incidence_ = std::vector< std::vector< std::pair< int, int> > > (< / div >
< div class = "line" > < a id = "l00140" name = "l00140" > < / a > < span class = "lineno" > 140< / span > num_locations, std::vector< std::pair< int, int> > ());< / div >
< div class = "line" > < a id = "l00141" name = "l00141" > < / a > < span class = "lineno" > 141< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > facility = 0; facility < num_facilities_; ++facility) {< / div >
< div class = "line" > < a id = "l00142" name = "l00142" > < / a > < span class = "lineno" > 142< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > location = 0; location < num_locations_; ++location) {< / div >
< div class = "line" > < a id = "l00143" name = "l00143" > < / a > < span class = "lineno" > 143< / span > < span class = "keywordflow" > if< / span > (absl::Bernoulli(bitgen, edge_probability)) {< / div >
< div class = "line" > < a id = "l00144" name = "l00144" > < / a > < span class = "lineno" > 144< / span > < span class = "keyword" > const< / span > std::pair< int, int> edge({facility, location});< / div >
< div class = "line" > < a id = "l00145" name = "l00145" > < / a > < span class = "lineno" > 145< / span > facility_edge_incidence_[facility].push_back(edge);< / div >
< div class = "line" > < a id = "l00146" name = "l00146" > < / a > < span class = "lineno" > 146< / span > location_edge_incidence_[location].push_back(edge);< / div >
< div class = "line" > < a id = "l00147" name = "l00147" > < / a > < span class = "lineno" > 147< / span > edges_.push_back(edge);< / div >
< div class = "line" > < a id = "l00148" name = "l00148" > < / a > < span class = "lineno" > 148< / span > edge_costs_.insert({edge, absl::Uniform(bitgen, 0, 1.0)});< / div >
< div class = "line" > < a id = "l00149" name = "l00149" > < / a > < span class = "lineno" > 149< / span > }< / div >
< div class = "line" > < a id = "l00150" name = "l00150" > < / a > < span class = "lineno" > 150< / span > }< / 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 > < span class = "comment" > // Ensure every facility is connected to at least one location and every< / span > < / div >
< div class = "line" > < a id = "l00153" name = "l00153" > < / a > < span class = "lineno" > 153< / span > < span class = "comment" > // location is connected to at least one facility.< / span > < / div >
< div class = "line" > < a id = "l00154" name = "l00154" > < / a > < span class = "lineno" > 154< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > facility = 0; facility < num_facilities; ++facility) {< / div >
< div class = "line" > < a id = "l00155" name = "l00155" > < / a > < span class = "lineno" > 155< / span > < span class = "keyword" > auto< / span > & locations = facility_edge_incidence_[facility];< / div >
< div class = "line" > < a id = "l00156" name = "l00156" > < / a > < span class = "lineno" > 156< / span > < span class = "keywordflow" > if< / span > (locations.empty()) {< / div >
< div class = "line" > < a id = "l00157" name = "l00157" > < / a > < span class = "lineno" > 157< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > location =< / div >
< div class = "line" > < a id = "l00158" name = "l00158" > < / a > < span class = "lineno" > 158< / span > absl::uniform_int_distribution< int> (0, num_locations - 1)(bitgen);< / div >
< div class = "line" > < a id = "l00159" name = "l00159" > < / a > < span class = "lineno" > 159< / span > < span class = "keyword" > const< / span > std::pair< int, int> edge({facility, location});< / div >
< div class = "line" > < a id = "l00160" name = "l00160" > < / a > < span class = "lineno" > 160< / span > locations.push_back(edge);< / div >
< div class = "line" > < a id = "l00161" name = "l00161" > < / a > < span class = "lineno" > 161< / span > location_edge_incidence_[location].push_back(edge);< / div >
< div class = "line" > < a id = "l00162" name = "l00162" > < / a > < span class = "lineno" > 162< / span > edges_.push_back(edge);< / div >
< div class = "line" > < a id = "l00163" name = "l00163" > < / a > < span class = "lineno" > 163< / span > edge_costs_.insert({edge, absl::Uniform(bitgen, 0, 1.0)});< / div >
< div class = "line" > < a id = "l00164" name = "l00164" > < / a > < span class = "lineno" > 164< / span > }< / div >
< div class = "line" > < a id = "l00165" name = "l00165" > < / a > < span class = "lineno" > 165< / span > }< / div >
< div class = "line" > < a id = "l00166" name = "l00166" > < / a > < span class = "lineno" > 166< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > location = 0; location < num_locations; ++location) {< / div >
< div class = "line" > < a id = "l00167" name = "l00167" > < / a > < span class = "lineno" > 167< / span > < span class = "keyword" > auto< / span > & facilities = location_edge_incidence_[location];< / div >
< div class = "line" > < a id = "l00168" name = "l00168" > < / a > < span class = "lineno" > 168< / span > < span class = "keywordflow" > if< / span > (facilities.empty()) {< / div >
< div class = "line" > < a id = "l00169" name = "l00169" > < / a > < span class = "lineno" > 169< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > facility =< / div >
< div class = "line" > < a id = "l00170" name = "l00170" > < / a > < span class = "lineno" > 170< / span > absl::uniform_int_distribution< int> (0, num_facilities - 1)(bitgen);< / div >
< div class = "line" > < a id = "l00171" name = "l00171" > < / a > < span class = "lineno" > 171< / span > < span class = "keyword" > const< / span > std::pair< int, int> edge({facility, location});< / div >
< div class = "line" > < a id = "l00172" name = "l00172" > < / a > < span class = "lineno" > 172< / span > facilities.push_back(edge);< / div >
< div class = "line" > < a id = "l00173" name = "l00173" > < / a > < span class = "lineno" > 173< / span > facility_edge_incidence_[facility].push_back(edge);< / div >
< div class = "line" > < a id = "l00174" name = "l00174" > < / a > < span class = "lineno" > 174< / span > edges_.push_back(edge);< / div >
< div class = "line" > < a id = "l00175" name = "l00175" > < / a > < span class = "lineno" > 175< / span > edge_costs_.insert({edge, absl::Uniform(bitgen, 0, 1.0)});< / 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 > }< / 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 > < span class = "keyword" > struct < / span > FacilityLocationInstance {< / div >
< div class = "line" > < a id = "l00181" name = "l00181" > < / a > < span class = "lineno" > 181< / span > Network network;< / div >
< div class = "line" > < a id = "l00182" name = "l00182" > < / a > < span class = "lineno" > 182< / span > < span class = "keywordtype" > double< / span > location_demand;< / div >
< div class = "line" > < a id = "l00183" name = "l00183" > < / a > < span class = "lineno" > 183< / span > < span class = "keywordtype" > double< / span > facility_cost;< / div >
< div class = "line" > < a id = "l00184" name = "l00184" > < / a > < span class = "lineno" > 184< / span > < span class = "keywordtype" > double< / span > location_fraction;< / 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 = "l00188" name = "l00188" > < / a > < span class = "lineno" > 188< / span > < span class = "comment" > // Direct solve< / span > < / div >
< div class = "line" > < a id = "l00190" name = "l00190" > < / a > < span class = "lineno" > 190< / span > < span class = "comment" > < / span > < / div >
< div class = "line" > < a id = "l00191" name = "l00191" > < / a > < span class = "lineno" > 191< / span > < span class = "comment" > // See file level comment for problem description and formulation.< / span > < / div >
< div class = "line" > < a id = "l00192" name = "l00192" > < / a > < span class = "lineno" > 192< / span > absl::Status FullProblem(< span class = "keyword" > const< / span > FacilityLocationInstance& instance,< / div >
< div class = "line" > < a id = "l00193" name = "l00193" > < / a > < span class = "lineno" > 193< / span > < span class = "keyword" > const< / span > < a class = "code hl_enumeration" href = "namespaceoperations__research_1_1math__opt.html#a8b06041d7c1fb05f379714f4312306ec" > math_opt::SolverType< / a > solver_type) {< / div >
< div class = "line" > < a id = "l00194" name = "l00194" > < / a > < span class = "lineno" > 194< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > num_facilities = instance.network.num_facilities();< / div >
< div class = "line" > < a id = "l00195" name = "l00195" > < / a > < span class = "lineno" > 195< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > num_locations = instance.network.num_locations();< / div >
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< div class = "line" > < a id = "l00196" name = "l00196" > < / a > < span class = "lineno" > 196< / span > < / div >
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< div class = "line" > < a id = "l00197" name = "l00197" > < / a > < span class = "lineno" > 197< / 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" > " Full network design problem" < / span > );< / div >
< div class = "line" > < a id = "l00198" name = "l00198" > < / a > < span class = "lineno" > 198< / span > < / div >
< div class = "line" > < a id = "l00199" name = "l00199" > < / a > < span class = "lineno" > 199< / span > < span class = "comment" > // Capacity variables< / span > < / div >
< div class = "line" > < a id = "l00200" name = "l00200" > < / a > < span class = "lineno" > 200< / span > std::vector< math_opt::Variable> z;< / div >
< div class = "line" > < a id = "l00201" name = "l00201" > < / a > < span class = "lineno" > 201< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > j = 0; j < num_facilities; j++) {< / div >
< div class = "line" > < a id = "l00202" name = "l00202" > < / a > < span class = "lineno" > 202< / span > z.push_back(< 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 = "l00203" name = "l00203" > < / a > < span class = "lineno" > 203< / span > }< / div >
< div class = "line" > < a id = "l00204" name = "l00204" > < / a > < span class = "lineno" > 204< / span > < / div >
< div class = "line" > < a id = "l00205" name = "l00205" > < / a > < span class = "lineno" > 205< / span > < span class = "comment" > // Flow variables< / span > < / div >
< div class = "line" > < a id = "l00206" name = "l00206" > < / a > < span class = "lineno" > 206< / span > absl::flat_hash_map< Edge, math_opt::Variable> x;< / div >
< div class = "line" > < a id = "l00207" name = "l00207" > < / a > < span class = "lineno" > 207< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & edge : instance.network.edges()) {< / div >
< div class = "line" > < a id = "l00208" name = "l00208" > < / a > < span class = "lineno" > 208< / 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 > x_edge = < 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 = "l00209" name = "l00209" > < / a > < span class = "lineno" > 209< / span > x.insert({edge, x_edge});< / div >
< div class = "line" > < a id = "l00210" name = "l00210" > < / a > < span class = "lineno" > 210< / span > }< / div >
< div class = "line" > < a id = "l00211" name = "l00211" > < / a > < span class = "lineno" > 211< / span > < / div >
< div class = "line" > < a id = "l00212" name = "l00212" > < / a > < span class = "lineno" > 212< / span > < span class = "comment" > // Objective Function< / span > < / div >
< div class = "line" > < a id = "l00213" name = "l00213" > < / a > < span class = "lineno" > 213< / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_linear_expression.html" > math_opt::LinearExpression< / a > objective_for_edges;< / div >
< div class = "line" > < a id = "l00214" name = "l00214" > < / a > < span class = "lineno" > 214< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & [edge, x_edge] : x) {< / div >
< div class = "line" > < a id = "l00215" name = "l00215" > < / a > < span class = "lineno" > 215< / span > objective_for_edges += instance.network.edge_cost(edge) * x_edge;< / div >
< div class = "line" > < a id = "l00216" name = "l00216" > < / a > < span class = "lineno" > 216< / span > }< / div >
< div class = "line" > < a id = "l00217" name = "l00217" > < / a > < span class = "lineno" > 217< / span > < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > .Minimize(objective_for_edges +< / div >
< div class = "line" > < a id = "l00218" name = "l00218" > < / a > < span class = "lineno" > 218< / span > instance.facility_cost * < a class = "code hl_function" href = "namespaceoperations__research_1_1math__opt.html#a2d3e7a73de1ae32066be431b5e68f613" > math_opt::Sum< / a > (z));< / div >
< div class = "line" > < a id = "l00219" name = "l00219" > < / a > < span class = "lineno" > 219< / span > < / div >
< div class = "line" > < a id = "l00220" name = "l00220" > < / a > < span class = "lineno" > 220< / span > < span class = "comment" > // Demand constraints< / span > < / div >
< div class = "line" > < a id = "l00221" name = "l00221" > < / a > < span class = "lineno" > 221< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > location = 0; location < num_locations; ++location) {< / div >
< div class = "line" > < a id = "l00222" name = "l00222" > < / a > < span class = "lineno" > 222< / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_linear_expression.html" > math_opt::LinearExpression< / a > incomming_supply;< / div >
< div class = "line" > < a id = "l00223" name = "l00223" > < / a > < span class = "lineno" > 223< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & edge :< / div >
< div class = "line" > < a id = "l00224" name = "l00224" > < / a > < span class = "lineno" > 224< / span > instance.network.edges_incident_to_location(location)) {< / div >
< div class = "line" > < a id = "l00225" name = "l00225" > < / a > < span class = "lineno" > 225< / span > incomming_supply += x.at(edge);< / div >
< div class = "line" > < a id = "l00226" name = "l00226" > < / a > < span class = "lineno" > 226< / span > }< / div >
< div class = "line" > < a id = "l00227" name = "l00227" > < / a > < span class = "lineno" > 227< / span > < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > .AddLinearConstraint(incomming_supply > = instance.location_demand);< / div >
< div class = "line" > < a id = "l00228" name = "l00228" > < / a > < span class = "lineno" > 228< / span > }< / div >
< div class = "line" > < a id = "l00229" name = "l00229" > < / a > < span class = "lineno" > 229< / span > < / div >
< div class = "line" > < a id = "l00230" name = "l00230" > < / a > < span class = "lineno" > 230< / span > < span class = "comment" > // Supply constraints< / span > < / div >
< div class = "line" > < a id = "l00231" name = "l00231" > < / a > < span class = "lineno" > 231< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > facility = 0; facility < num_facilities; ++facility) {< / div >
< div class = "line" > < a id = "l00232" name = "l00232" > < / a > < span class = "lineno" > 232< / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_linear_expression.html" > math_opt::LinearExpression< / a > outgoing_supply;< / div >
< div class = "line" > < a id = "l00233" name = "l00233" > < / a > < span class = "lineno" > 233< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & edge :< / div >
< div class = "line" > < a id = "l00234" name = "l00234" > < / a > < span class = "lineno" > 234< / span > instance.network.edges_incident_to_facility(facility)) {< / div >
< div class = "line" > < a id = "l00235" name = "l00235" > < / a > < span class = "lineno" > 235< / span > outgoing_supply += x.at(edge);< / div >
< div class = "line" > < a id = "l00236" name = "l00236" > < / a > < span class = "lineno" > 236< / span > }< / div >
< div class = "line" > < a id = "l00237" name = "l00237" > < / a > < span class = "lineno" > 237< / span > < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > .AddLinearConstraint(outgoing_supply < = z[facility]);< / div >
< div class = "line" > < a id = "l00238" name = "l00238" > < / a > < span class = "lineno" > 238< / span > }< / div >
< div class = "line" > < a id = "l00239" name = "l00239" > < / a > < span class = "lineno" > 239< / span > < / div >
< div class = "line" > < a id = "l00240" name = "l00240" > < / a > < span class = "lineno" > 240< / span > < span class = "comment" > // Arc constraints< / span > < / div >
< div class = "line" > < a id = "l00241" name = "l00241" > < / a > < span class = "lineno" > 241< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > facility = 0; facility < num_facilities; ++facility) {< / div >
< div class = "line" > < a id = "l00242" name = "l00242" > < / a > < span class = "lineno" > 242< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & edge :< / div >
< div class = "line" > < a id = "l00243" name = "l00243" > < / a > < span class = "lineno" > 243< / span > instance.network.edges_incident_to_facility(facility)) {< / div >
< div class = "line" > < a id = "l00244" name = "l00244" > < / a > < span class = "lineno" > 244< / span > < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > .AddLinearConstraint(x.at(edge) < =< / div >
< div class = "line" > < a id = "l00245" name = "l00245" > < / a > < span class = "lineno" > 245< / span > instance.location_fraction * z[facility]);< / div >
< div class = "line" > < a id = "l00246" name = "l00246" > < / a > < span class = "lineno" > 246< / span > }< / 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 > < 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 > result,< / div >
< div class = "line" > < a id = "l00249" name = "l00249" > < / a > < span class = "lineno" > 249< / 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 > , solver_type));< / div >
< div class = "line" > < a id = "l00250" name = "l00250" > < / a > < span class = "lineno" > 250< / span > < span class = "keywordflow" > if< / span > (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 > != math_opt::TerminationReason::kOptimal) {< / div >
< div class = "line" > < a id = "l00251" name = "l00251" > < / a > < span class = "lineno" > 251< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_function" href = "namespaceutil.html#a302ee4bfcb86ea9ed64a193ed0b14648" > util::InternalErrorBuilder< / a > ()< / div >
< div class = "line" > < a id = "l00252" name = "l00252" > < / a > < span class = "lineno" > 252< / span > < < < span class = "stringliteral" > " failed to find an optimal solution: " < / span > < < 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 = "l00253" name = "l00253" > < / a > < span class = "lineno" > 253< / span > }< / div >
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< div class = "line" > < a id = "l00254" name = "l00254" > < / a > < span class = "lineno" > 254< / span > < / div >
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< div class = "line" > < a id = "l00255" name = "l00255" > < / a > < span class = "lineno" > 255< / span > std::cout < < < span class = "stringliteral" > " Full problem optimal objective: " < / span > < / div >
< div class = "line" > < a id = "l00256" name = "l00256" > < / a > < span class = "lineno" > 256< / span > < < absl::StrFormat(< span class = "stringliteral" > " %.9f" < / span > , result.< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a84f066c304d8bcbb9567be094feb9b08" > objective_value< / a > ()) < < std::endl;< / div >
< div class = "line" > < a id = "l00257" name = "l00257" > < / a > < span class = "lineno" > 257< / span > < span class = "keywordflow" > return< / span > absl::OkStatus();< / div >
< div class = "line" > < a id = "l00258" name = "l00258" > < / a > < span class = "lineno" > 258< / span > }< / div >
< div class = "line" > < a id = "l00259" name = "l00259" > < / a > < span class = "lineno" > 259< / span > < / div >
< div class = "line" > < a id = "l00261" name = "l00261" > < / a > < span class = "lineno" > 261< / span > < span class = "comment" > // Benders solver< / span > < / div >
< div class = "line" > < a id = "l00263" name = "l00263" > < / a > < span class = "lineno" > 263< / span > < span class = "comment" > < / span > < / div >
< div class = "line" > < a id = "l00264" name = "l00264" > < / a > < span class = "lineno" > 264< / span > < span class = "comment" > // Setup first stage model:< / span > < / div >
< div class = "line" > < a id = "l00265" name = "l00265" > < / a > < span class = "lineno" > 265< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00266" name = "l00266" > < / a > < span class = "lineno" > 266< / span > < span class = "comment" > // min c * sum(z_f : f in F) + w< / span > < / div >
< div class = "line" > < a id = "l00267" name = "l00267" > < / a > < span class = "lineno" > 267< / span > < span class = "comment" > // s.t.< / span > < / div >
< div class = "line" > < a id = "l00268" name = "l00268" > < / a > < span class = "lineno" > 268< / span > < span class = "comment" > // z_f > = 0 for all f in F< / span > < / div >
< div class = "line" > < a id = "l00269" name = "l00269" > < / a > < span class = "lineno" > 269< / span > < span class = "comment" > // sum(fcut_f^i z_f) + fcut_const^i < = 0 for i = 1,...< / span > < / div >
< div class = "line" > < a id = "l00270" name = "l00270" > < / a > < span class = "lineno" > 270< / span > < span class = "comment" > // sum(ocut_f^j z_f) + ocut_const^j < = w for j = 1,...< / span > < / div >
< div class = "line" > < a id = "l00271" name = "l00271" > < / a > < span class = "lineno" > 271< / span > < span class = "keyword" > struct < / span > FirstStageProblem {< / div >
< div class = "line" > < a id = "l00272" name = "l00272" > < / a > < span class = "lineno" > 272< / 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 > ;< / div >
< div class = "line" > < a id = "l00273" name = "l00273" > < / a > < span class = "lineno" > 273< / span > std::vector< math_opt::Variable> z;< / div >
< div class = "line" > < a id = "l00274" name = "l00274" > < / a > < span class = "lineno" > 274< / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_variable.html" > math_opt::Variable< / a > w;< / div >
< div class = "line" > < a id = "l00275" name = "l00275" > < / a > < span class = "lineno" > 275< / span > < / div >
< div class = "line" > < a id = "l00276" name = "l00276" > < / a > < span class = "lineno" > 276< / span > FirstStageProblem(< span class = "keyword" > const< / span > Network& network, < span class = "keyword" > const< / span > < span class = "keywordtype" > double< / span > facility_cost);< / div >
< div class = "line" > < a id = "l00277" name = "l00277" > < / a > < span class = "lineno" > 277< / span > };< / div >
< div class = "line" > < a id = "l00278" name = "l00278" > < / a > < span class = "lineno" > 278< / span > < / div >
< div class = "line" > < a id = "l00279" name = "l00279" > < / a > < span class = "lineno" > 279< / span > FirstStageProblem::FirstStageProblem(< span class = "keyword" > const< / span > Network& network,< / div >
< div class = "line" > < a id = "l00280" name = "l00280" > < / a > < span class = "lineno" > 280< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > double< / span > facility_cost)< / div >
< div class = "line" > < a id = "l00281" name = "l00281" > < / a > < span class = "lineno" > 281< / span > : < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > (< span class = "stringliteral" > " First stage problem" < / span > ), w(< 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 = "l00282" name = "l00282" > < / a > < span class = "lineno" > 282< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > num_facilities = network.num_facilities();< / div >
< div class = "line" > < a id = "l00283" name = "l00283" > < / a > < span class = "lineno" > 283< / span > < / div >
< div class = "line" > < a id = "l00284" name = "l00284" > < / a > < span class = "lineno" > 284< / span > < span class = "comment" > // Capacity variables< / span > < / div >
< div class = "line" > < a id = "l00285" name = "l00285" > < / a > < span class = "lineno" > 285< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > j = 0; j < num_facilities; j++) {< / div >
< div class = "line" > < a id = "l00286" name = "l00286" > < / a > < span class = "lineno" > 286< / span > z.push_back(< 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 = "l00287" name = "l00287" > < / a > < span class = "lineno" > 287< / span > }< / div >
< div class = "line" > < a id = "l00288" name = "l00288" > < / a > < span class = "lineno" > 288< / span > < / div >
< div class = "line" > < a id = "l00289" name = "l00289" > < / a > < span class = "lineno" > 289< / span > < span class = "comment" > // First stage objective< / span > < / div >
< div class = "line" > < a id = "l00290" name = "l00290" > < / a > < span class = "lineno" > 290< / span > < a class = "code hl_variable" href = "gurobi__interface_8cc.html#a0728f23c9a47655d38e0bf1a2f200bcf" > model< / a > .Minimize(w + facility_cost * < a class = "code hl_function" href = "namespaceoperations__research_1_1math__opt.html#a2d3e7a73de1ae32066be431b5e68f613" > Sum< / a > (z));< / div >
< div class = "line" > < a id = "l00291" name = "l00291" > < / a > < span class = "lineno" > 291< / span > }< / div >
2022-01-17 21:42:14 +01:00
< div class = "line" > < a id = "l00292" name = "l00292" > < / a > < span class = "lineno" > 292< / span > < / div >
2022-03-04 00:11:33 +01:00
< div class = "line" > < a id = "l00293" name = "l00293" > < / a > < span class = "lineno" > 293< / span > < span class = "comment" > // Represents a cut if the form:< / span > < / div >
< div class = "line" > < a id = "l00294" name = "l00294" > < / a > < span class = "lineno" > 294< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00295" name = "l00295" > < / a > < span class = "lineno" > 295< / span > < span class = "comment" > // z_coefficients^T z + constant < = w_coefficient * w< / span > < / div >
< div class = "line" > < a id = "l00296" name = "l00296" > < / a > < span class = "lineno" > 296< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00297" name = "l00297" > < / a > < span class = "lineno" > 297< / span > < span class = "comment" > // This will be a feasibility cut if w_coefficient = 0.0 and an optimality< / span > < / div >
< div class = "line" > < a id = "l00298" name = "l00298" > < / a > < span class = "lineno" > 298< / span > < span class = "comment" > // cut if w_coefficient = 1.< / span > < / div >
< div class = "line" > < a id = "l00299" name = "l00299" > < / a > < span class = "lineno" > 299< / span > < span class = "keyword" > struct < / span > Cut {< / div >
< div class = "line" > < a id = "l00300" name = "l00300" > < / a > < span class = "lineno" > 300< / span > std::vector< double> z_coefficients;< / div >
< div class = "line" > < a id = "l00301" name = "l00301" > < / a > < span class = "lineno" > 301< / span > < span class = "keywordtype" > double< / span > < a class = "code hl_variable" href = "variable__and__expressions_8cc.html#a98c17ae8d99a73259ea78de8c4b66254" > constant< / a > ;< / div >
< div class = "line" > < a id = "l00302" name = "l00302" > < / a > < span class = "lineno" > 302< / span > < span class = "keywordtype" > double< / span > w_coefficient;< / div >
< div class = "line" > < a id = "l00303" name = "l00303" > < / a > < span class = "lineno" > 303< / span > };< / div >
< div class = "line" > < a id = "l00304" name = "l00304" > < / a > < span class = "lineno" > 304< / span > < / div >
< div class = "line" > < a id = "l00305" name = "l00305" > < / a > < span class = "lineno" > 305< / span > < span class = "comment" > // Solves the second stage model:< / span > < / div >
< div class = "line" > < a id = "l00306" name = "l00306" > < / a > < span class = "lineno" > 306< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00307" name = "l00307" > < / a > < span class = "lineno" > 307< / span > < span class = "comment" > // min sum(h_e * x_e : e in E)< / span > < / div >
< div class = "line" > < a id = "l00308" name = "l00308" > < / a > < span class = "lineno" > 308< / span > < span class = "comment" > // s.t.< / span > < / div >
< div class = "line" > < a id = "l00309" name = "l00309" > < / a > < span class = "lineno" > 309< / span > < span class = "comment" > // x_(f,l) < = a * zz_f for all (f,l) in E< / span > < / div >
< div class = "line" > < a id = "l00310" name = "l00310" > < / a > < span class = "lineno" > 310< / span > < span class = "comment" > // sum(x_(f,l) : l such that (f,l) in E) < = zz_f for all f in F< / span > < / div >
< div class = "line" > < a id = "l00311" name = "l00311" > < / a > < span class = "lineno" > 311< / span > < span class = "comment" > // sum(x_(f,l) : f such that (f,l) in E) > = d for all l in L< / span > < / div >
< div class = "line" > < a id = "l00312" name = "l00312" > < / a > < span class = "lineno" > 312< / span > < span class = "comment" > // x_e > = 0 for all e in E< / span > < / div >
< div class = "line" > < a id = "l00313" name = "l00313" > < / a > < span class = "lineno" > 313< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00314" name = "l00314" > < / a > < span class = "lineno" > 314< / span > < span class = "comment" > // where zz_f are fixed values for z_f from the first stage model, and generates< / span > < / div >
< div class = "line" > < a id = "l00315" name = "l00315" > < / a > < span class = "lineno" > 315< / span > < span class = "comment" > // an infeasibility or optimality cut as needed.< / span > < / div >
< div class = "line" > < a id = "l00316" name = "l00316" > < / a > < span class = "lineno" > 316< / span > < span class = "keyword" > class < / span > SecondStageSolver {< / div >
< div class = "line" > < a id = "l00317" name = "l00317" > < / a > < span class = "lineno" > 317< / span > < span class = "keyword" > public< / span > :< / div >
< div class = "line" > < a id = "l00318" name = "l00318" > < / a > < span class = "lineno" > 318< / span > < span class = "keyword" > static< / span > absl::StatusOr< std::unique_ptr< SecondStageSolver> > New(< / div >
< div class = "line" > < a id = "l00319" name = "l00319" > < / a > < span class = "lineno" > 319< / span > FacilityLocationInstance instance, < a class = "code hl_enumeration" href = "namespaceoperations__research_1_1math__opt.html#a8b06041d7c1fb05f379714f4312306ec" > math_opt::SolverType< / a > solver_type);< / div >
< div class = "line" > < a id = "l00320" name = "l00320" > < / a > < span class = "lineno" > 320< / span > < / div >
< div class = "line" > < a id = "l00321" name = "l00321" > < / a > < span class = "lineno" > 321< / span > absl::StatusOr< std::pair< double, Cut> > < a class = "code hl_function" href = "namespaceoperations__research_1_1math__opt.html#a5767ee23f380e72488d3c7ebf2d742b1" > Solve< / a > (< / div >
< div class = "line" > < a id = "l00322" name = "l00322" > < / a > < span class = "lineno" > 322< / span > < span class = "keyword" > const< / span > std::vector< double> & z_values, < span class = "keywordtype" > double< / span > w_value,< / div >
< div class = "line" > < a id = "l00323" name = "l00323" > < / a > < span class = "lineno" > 323< / span > < span class = "keywordtype" > double< / span > fist_stage_objective);< / div >
< div class = "line" > < a id = "l00324" name = "l00324" > < / a > < span class = "lineno" > 324< / span > < / div >
< div class = "line" > < a id = "l00325" name = "l00325" > < / a > < span class = "lineno" > 325< / span > < span class = "keyword" > private< / span > :< / div >
< div class = "line" > < a id = "l00326" name = "l00326" > < / a > < span class = "lineno" > 326< / span > SecondStageSolver(FacilityLocationInstance instance,< / div >
< div class = "line" > < a id = "l00327" name = "l00327" > < / a > < span class = "lineno" > 327< / span > < a class = "code hl_struct" href = "structoperations__research_1_1math__opt_1_1_solve_parameters.html" > math_opt::SolveParameters< / a > second_stage_params);< / div >
< div class = "line" > < a id = "l00328" name = "l00328" > < / a > < span class = "lineno" > 328< / span > < / div >
< div class = "line" > < a id = "l00329" name = "l00329" > < / a > < span class = "lineno" > 329< / span > absl::StatusOr< Cut> OptimalityCut(< / div >
< div class = "line" > < a id = "l00330" name = "l00330" > < / a > < span class = "lineno" > 330< / span > < 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 > & second_stage_result);< / div >
< div class = "line" > < a id = "l00331" name = "l00331" > < / a > < span class = "lineno" > 331< / span > absl::StatusOr< Cut> FeasibilityCut(< / div >
< div class = "line" > < a id = "l00332" name = "l00332" > < / a > < span class = "lineno" > 332< / span > < 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 > & second_stage_result);< / div >
< div class = "line" > < a id = "l00333" name = "l00333" > < / a > < span class = "lineno" > 333< / span > < / div >
< div class = "line" > < a id = "l00334" name = "l00334" > < / a > < span class = "lineno" > 334< / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_model.html" > math_opt::Model< / a > second_stage_model_;< / div >
< div class = "line" > < a id = "l00335" name = "l00335" > < / a > < span class = "lineno" > 335< / span > < span class = "keyword" > const< / span > Network network_;< / div >
< div class = "line" > < a id = "l00336" name = "l00336" > < / a > < span class = "lineno" > 336< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > double< / span > location_fraction_;< / div >
< div class = "line" > < a id = "l00337" name = "l00337" > < / a > < span class = "lineno" > 337< / span > < a class = "code hl_struct" href = "structoperations__research_1_1math__opt_1_1_solve_parameters.html" > math_opt::SolveParameters< / a > second_stage_params_;< / div >
< div class = "line" > < a id = "l00338" name = "l00338" > < / a > < span class = "lineno" > 338< / span > < / div >
< div class = "line" > < a id = "l00339" name = "l00339" > < / a > < span class = "lineno" > 339< / span > absl::flat_hash_map< Edge, math_opt::Variable> x_;< / div >
< div class = "line" > < a id = "l00340" name = "l00340" > < / a > < span class = "lineno" > 340< / span > std::vector< math_opt::LinearConstraint> supply_constraints_;< / div >
< div class = "line" > < a id = "l00341" name = "l00341" > < / a > < span class = "lineno" > 341< / span > std::vector< math_opt::LinearConstraint> demand_constraints_;< / div >
< div class = "line" > < a id = "l00342" name = "l00342" > < / a > < span class = "lineno" > 342< / span > std::unique_ptr< math_opt::IncrementalSolver> solver_;< / div >
< div class = "line" > < a id = "l00343" name = "l00343" > < / a > < span class = "lineno" > 343< / span > };< / div >
< div class = "line" > < a id = "l00344" name = "l00344" > < / a > < span class = "lineno" > 344< / span > < / div >
< div class = "line" > < a id = "l00345" name = "l00345" > < / a > < span class = "lineno" > 345< / span > absl::StatusOr< math_opt::SolveParameters> EnsureDualRaySolveParameters(< / div >
< div class = "line" > < a id = "l00346" name = "l00346" > < / a > < span class = "lineno" > 346< / span > < span class = "keyword" > const< / span > < a class = "code hl_enumeration" href = "namespaceoperations__research_1_1math__opt.html#a8b06041d7c1fb05f379714f4312306ec" > math_opt::SolverType< / a > solver_type) {< / div >
< div class = "line" > < a id = "l00347" name = "l00347" > < / a > < span class = "lineno" > 347< / span > < a class = "code hl_struct" href = "structoperations__research_1_1math__opt_1_1_solve_parameters.html" > math_opt::SolveParameters< / a > < a class = "code hl_variable" href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > ;< / div >
< div class = "line" > < a id = "l00348" name = "l00348" > < / a > < span class = "lineno" > 348< / span > < span class = "keywordflow" > switch< / span > (solver_type) {< / div >
< div class = "line" > < a id = "l00349" name = "l00349" > < / a > < span class = "lineno" > 349< / span > < span class = "keywordflow" > case< / span > math_opt::SolverType::kGurobi:< / div >
< div class = "line" > < a id = "l00350" name = "l00350" > < / a > < span class = "lineno" > 350< / span > < a class = "code hl_variable" href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > .gurobi.param_values[< span class = "stringliteral" > " InfUnbdInfo" < / span > ] = < span class = "stringliteral" > " 1" < / span > ;< / div >
< div class = "line" > < a id = "l00351" name = "l00351" > < / a > < span class = "lineno" > 351< / span > < span class = "keywordflow" > break< / span > ;< / div >
< div class = "line" > < a id = "l00352" name = "l00352" > < / a > < span class = "lineno" > 352< / span > < span class = "keywordflow" > case< / span > math_opt::SolverType::kGlop:< / div >
< div class = "line" > < a id = "l00353" name = "l00353" > < / a > < span class = "lineno" > 353< / span > < a class = "code hl_variable" href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > .presolve = math_opt::Emphasis::kOff;< / div >
< div class = "line" > < a id = "l00354" name = "l00354" > < / a > < span class = "lineno" > 354< / span > < a class = "code hl_variable" href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > .scaling = math_opt::Emphasis::kOff;< / div >
< div class = "line" > < a id = "l00355" name = "l00355" > < / a > < span class = "lineno" > 355< / span > < a class = "code hl_variable" href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > .lp_algorithm = math_opt::LPAlgorithm::kDualSimplex;< / div >
< div class = "line" > < a id = "l00356" name = "l00356" > < / a > < span class = "lineno" > 356< / span > < span class = "keywordflow" > break< / span > ;< / div >
< div class = "line" > < a id = "l00357" name = "l00357" > < / a > < span class = "lineno" > 357< / span > < span class = "keywordflow" > case< / span > math_opt::SolverType::kGlpk:< / div >
< div class = "line" > < a id = "l00358" name = "l00358" > < / a > < span class = "lineno" > 358< / span > < a class = "code hl_variable" href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > .presolve = math_opt::Emphasis::kOff;< / div >
< div class = "line" > < a id = "l00359" name = "l00359" > < / a > < span class = "lineno" > 359< / span > < a class = "code hl_variable" href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > .lp_algorithm = math_opt::LPAlgorithm::kDualSimplex;< / div >
< div class = "line" > < a id = "l00360" name = "l00360" > < / a > < span class = "lineno" > 360< / span > < span class = "keywordflow" > break< / span > ;< / div >
< div class = "line" > < a id = "l00361" name = "l00361" > < / a > < span class = "lineno" > 361< / span > < span class = "keywordflow" > default< / span > :< / div >
< div class = "line" > < a id = "l00362" name = "l00362" > < / a > < span class = "lineno" > 362< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_function" href = "namespaceutil.html#a302ee4bfcb86ea9ed64a193ed0b14648" > util::InternalErrorBuilder< / a > ()< / div >
< div class = "line" > < a id = "l00363" name = "l00363" > < / a > < span class = "lineno" > 363< / span > < < < span class = "stringliteral" > " unsupported solver: " < / span > < < solver_type;< / div >
< div class = "line" > < a id = "l00364" name = "l00364" > < / a > < span class = "lineno" > 364< / span > }< / div >
< div class = "line" > < a id = "l00365" name = "l00365" > < / a > < span class = "lineno" > 365< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_variable" href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > ;< / div >
< div class = "line" > < a id = "l00366" name = "l00366" > < / a > < span class = "lineno" > 366< / span > }< / div >
< div class = "line" > < a id = "l00367" name = "l00367" > < / a > < span class = "lineno" > 367< / span > < / div >
< div class = "line" > < a id = "l00368" name = "l00368" > < / a > < span class = "lineno" > 368< / span > absl::StatusOr< std::unique_ptr< SecondStageSolver> > SecondStageSolver::New(< / div >
< div class = "line" > < a id = "l00369" name = "l00369" > < / a > < span class = "lineno" > 369< / span > FacilityLocationInstance instance, < span class = "keyword" > const< / span > < a class = "code hl_enumeration" href = "namespaceoperations__research_1_1math__opt.html#a8b06041d7c1fb05f379714f4312306ec" > math_opt::SolverType< / a > solver_type) {< / div >
< div class = "line" > < a id = "l00370" name = "l00370" > < / a > < span class = "lineno" > 370< / span > < span class = "comment" > // Set solver arguments to ensure a dual ray is returned.< / span > < / div >
< div class = "line" > < a id = "l00371" name = "l00371" > < / a > < span class = "lineno" > 371< / 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_parameters.html" > math_opt::SolveParameters< / a > < a class = "code hl_variable" href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > ,< / div >
< div class = "line" > < a id = "l00372" name = "l00372" > < / a > < span class = "lineno" > 372< / span > EnsureDualRaySolveParameters(solver_type));< / div >
< div class = "line" > < a id = "l00373" name = "l00373" > < / a > < span class = "lineno" > 373< / span > < / div >
< div class = "line" > < a id = "l00374" name = "l00374" > < / a > < span class = "lineno" > 374< / span > std::unique_ptr< SecondStageSolver> second_stage_solver =< / div >
< div class = "line" > < a id = "l00375" name = "l00375" > < / a > < span class = "lineno" > 375< / span > absl::WrapUnique< SecondStageSolver> (< / div >
< div class = "line" > < a id = "l00376" name = "l00376" > < / a > < span class = "lineno" > 376< / span > < span class = "keyword" > new< / span > SecondStageSolver(std::move(instance), < a class = "code hl_variable" href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > ));< / div >
< div class = "line" > < a id = "l00377" name = "l00377" > < / a > < span class = "lineno" > 377< / span > < a class = "code hl_define" href = "base_2status__macros_8h.html#a600de4b8f65fe0a4b1898041634f9011" > ASSIGN_OR_RETURN< / a > (std::unique_ptr< math_opt::IncrementalSolver> solver,< / div >
< div class = "line" > < a id = "l00378" name = "l00378" > < / a > < span class = "lineno" > 378< / span > < 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 = "l00379" name = "l00379" > < / a > < span class = "lineno" > 379< / span > & second_stage_solver-> second_stage_model_, solver_type));< / div >
< div class = "line" > < a id = "l00380" name = "l00380" > < / a > < span class = "lineno" > 380< / span > second_stage_solver-> solver_ = std::move(solver);< / div >
< div class = "line" > < a id = "l00381" name = "l00381" > < / a > < span class = "lineno" > 381< / span > < span class = "keywordflow" > return< / span > std::move(second_stage_solver);< / div >
< div class = "line" > < a id = "l00382" name = "l00382" > < / a > < span class = "lineno" > 382< / span > }< / div >
< div class = "line" > < a id = "l00383" name = "l00383" > < / a > < span class = "lineno" > 383< / span > < / div >
< div class = "line" > < a id = "l00384" name = "l00384" > < / a > < span class = "lineno" > 384< / span > SecondStageSolver::SecondStageSolver(< / div >
< div class = "line" > < a id = "l00385" name = "l00385" > < / a > < span class = "lineno" > 385< / span > FacilityLocationInstance instance,< / div >
< div class = "line" > < a id = "l00386" name = "l00386" > < / a > < span class = "lineno" > 386< / span > < a class = "code hl_struct" href = "structoperations__research_1_1math__opt_1_1_solve_parameters.html" > math_opt::SolveParameters< / a > second_stage_params)< / div >
< div class = "line" > < a id = "l00387" name = "l00387" > < / a > < span class = "lineno" > 387< / span > : second_stage_model_(< span class = "stringliteral" > " Second stage model" < / span > ),< / div >
< div class = "line" > < a id = "l00388" name = "l00388" > < / a > < span class = "lineno" > 388< / span > network_(< a class = "code hl_namespace" href = "namespacestd.html" > std< / a > ::move(instance.network)),< / div >
< div class = "line" > < a id = "l00389" name = "l00389" > < / a > < span class = "lineno" > 389< / span > location_fraction_(instance.location_fraction),< / div >
< div class = "line" > < a id = "l00390" name = "l00390" > < / a > < span class = "lineno" > 390< / span > second_stage_params_(second_stage_params) {< / div >
< div class = "line" > < a id = "l00391" name = "l00391" > < / a > < span class = "lineno" > 391< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > num_facilities = network_.num_facilities();< / div >
< div class = "line" > < a id = "l00392" name = "l00392" > < / a > < span class = "lineno" > 392< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > num_locations = network_.num_locations();< / div >
< div class = "line" > < a id = "l00393" name = "l00393" > < / a > < span class = "lineno" > 393< / span > < / div >
< div class = "line" > < a id = "l00394" name = "l00394" > < / a > < span class = "lineno" > 394< / span > < span class = "comment" > // Flow variables< / span > < / div >
< div class = "line" > < a id = "l00395" name = "l00395" > < / a > < span class = "lineno" > 395< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & edge : network_.edges()) {< / div >
< div class = "line" > < a id = "l00396" name = "l00396" > < / a > < span class = "lineno" > 396< / 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 > x_edge =< / div >
< div class = "line" > < a id = "l00397" name = "l00397" > < / a > < span class = "lineno" > 397< / span > second_stage_model_.AddContinuousVariable(0.0, < a class = "code hl_variable" href = "namespaceoperations__research_1_1math__opt.html#ad9f50c9313b35cc1e8887057dc4d9645" > kInf< / a > );< / div >
< div class = "line" > < a id = "l00398" name = "l00398" > < / a > < span class = "lineno" > 398< / span > x_.insert({edge, x_edge});< / div >
< div class = "line" > < a id = "l00399" name = "l00399" > < / a > < span class = "lineno" > 399< / span > }< / div >
< div class = "line" > < a id = "l00400" name = "l00400" > < / a > < span class = "lineno" > 400< / span > < / div >
< div class = "line" > < a id = "l00401" name = "l00401" > < / a > < span class = "lineno" > 401< / span > < span class = "comment" > // Objective Function< / span > < / div >
< div class = "line" > < a id = "l00402" name = "l00402" > < / a > < span class = "lineno" > 402< / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_linear_expression.html" > math_opt::LinearExpression< / a > objective_for_edges;< / div >
< div class = "line" > < a id = "l00403" name = "l00403" > < / a > < span class = "lineno" > 403< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & [edge, x_edge] : x_) {< / div >
< div class = "line" > < a id = "l00404" name = "l00404" > < / a > < span class = "lineno" > 404< / span > objective_for_edges += network_.edge_cost(edge) * x_edge;< / div >
< div class = "line" > < a id = "l00405" name = "l00405" > < / a > < span class = "lineno" > 405< / span > }< / div >
< div class = "line" > < a id = "l00406" name = "l00406" > < / a > < span class = "lineno" > 406< / span > second_stage_model_.Minimize(objective_for_edges);< / div >
< div class = "line" > < a id = "l00407" name = "l00407" > < / a > < span class = "lineno" > 407< / span > < / div >
< div class = "line" > < a id = "l00408" name = "l00408" > < / a > < span class = "lineno" > 408< / span > < span class = "comment" > // Demand constraints< / span > < / div >
< div class = "line" > < a id = "l00409" name = "l00409" > < / a > < span class = "lineno" > 409< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > location = 0; location < num_locations; ++location) {< / div >
< div class = "line" > < a id = "l00410" name = "l00410" > < / a > < span class = "lineno" > 410< / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_linear_expression.html" > math_opt::LinearExpression< / a > incomming_supply;< / div >
< div class = "line" > < a id = "l00411" name = "l00411" > < / a > < span class = "lineno" > 411< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & edge : network_.edges_incident_to_location(location)) {< / div >
< div class = "line" > < a id = "l00412" name = "l00412" > < / a > < span class = "lineno" > 412< / span > incomming_supply += x_.at(edge);< / div >
< div class = "line" > < a id = "l00413" name = "l00413" > < / a > < span class = "lineno" > 413< / span > }< / div >
< div class = "line" > < a id = "l00414" name = "l00414" > < / a > < span class = "lineno" > 414< / span > demand_constraints_.push_back(second_stage_model_.AddLinearConstraint(< / div >
< div class = "line" > < a id = "l00415" name = "l00415" > < / a > < span class = "lineno" > 415< / span > incomming_supply > = instance.location_demand));< / div >
< div class = "line" > < a id = "l00416" name = "l00416" > < / a > < span class = "lineno" > 416< / span > }< / div >
< div class = "line" > < a id = "l00417" name = "l00417" > < / a > < span class = "lineno" > 417< / span > < / div >
< div class = "line" > < a id = "l00418" name = "l00418" > < / a > < span class = "lineno" > 418< / span > < span class = "comment" > // Supply constraints< / span > < / div >
< div class = "line" > < a id = "l00419" name = "l00419" > < / a > < span class = "lineno" > 419< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > facility = 0; facility < num_facilities; ++facility) {< / div >
< div class = "line" > < a id = "l00420" name = "l00420" > < / a > < span class = "lineno" > 420< / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_linear_expression.html" > math_opt::LinearExpression< / a > outgoing_supply;< / div >
< div class = "line" > < a id = "l00421" name = "l00421" > < / a > < span class = "lineno" > 421< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & edge : network_.edges_incident_to_facility(facility)) {< / div >
< div class = "line" > < a id = "l00422" name = "l00422" > < / a > < span class = "lineno" > 422< / span > outgoing_supply += x_.at(edge);< / div >
< div class = "line" > < a id = "l00423" name = "l00423" > < / a > < span class = "lineno" > 423< / span > }< / div >
< div class = "line" > < a id = "l00424" name = "l00424" > < / a > < span class = "lineno" > 424< / span > < span class = "comment" > // Set supply constraint with trivial upper bound to be updated with first< / span > < / div >
< div class = "line" > < a id = "l00425" name = "l00425" > < / a > < span class = "lineno" > 425< / span > < span class = "comment" > // stage information.< / span > < / div >
< div class = "line" > < a id = "l00426" name = "l00426" > < / a > < span class = "lineno" > 426< / span > supply_constraints_.push_back(< / div >
< div class = "line" > < a id = "l00427" name = "l00427" > < / a > < span class = "lineno" > 427< / span > second_stage_model_.AddLinearConstraint(outgoing_supply < = < a class = "code hl_variable" href = "namespaceoperations__research_1_1math__opt.html#ad9f50c9313b35cc1e8887057dc4d9645" > kInf< / a > ));< / div >
< div class = "line" > < a id = "l00428" name = "l00428" > < / a > < span class = "lineno" > 428< / span > }< / div >
< div class = "line" > < a id = "l00429" name = "l00429" > < / a > < span class = "lineno" > 429< / span > }< / div >
< div class = "line" > < a id = "l00430" name = "l00430" > < / a > < span class = "lineno" > 430< / span > < / div >
< div class = "line" > < a id = "l00431" name = "l00431" > < / a > < span class = "lineno" > 431< / span > absl::StatusOr< std::pair< double, Cut> > < a class = "code hl_function" href = "namespaceoperations__research_1_1math__opt.html#a5767ee23f380e72488d3c7ebf2d742b1" > SecondStageSolver::Solve< / a > (< / div >
< div class = "line" > < a id = "l00432" name = "l00432" > < / a > < span class = "lineno" > 432< / span > < span class = "keyword" > const< / span > std::vector< double> & z_values, < span class = "keyword" > const< / span > < span class = "keywordtype" > double< / span > w_value,< / div >
< div class = "line" > < a id = "l00433" name = "l00433" > < / a > < span class = "lineno" > 433< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > double< / span > fist_stage_objective) {< / div >
< div class = "line" > < a id = "l00434" name = "l00434" > < / a > < span class = "lineno" > 434< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > num_facilities = network_.num_facilities();< / div >
< div class = "line" > < a id = "l00435" name = "l00435" > < / a > < span class = "lineno" > 435< / span > < / div >
< div class = "line" > < a id = "l00436" name = "l00436" > < / a > < span class = "lineno" > 436< / span > < span class = "comment" > // Update second stage with first stage solution.< / span > < / div >
< div class = "line" > < a id = "l00437" name = "l00437" > < / a > < span class = "lineno" > 437< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > facility = 0; facility < num_facilities; ++facility) {< / div >
< div class = "line" > < a id = "l00438" name = "l00438" > < / a > < span class = "lineno" > 438< / span > < span class = "keywordflow" > if< / span > (z_values[facility] < -< a class = "code hl_variable" href = "lagrangian__relaxation_8cc.html#a6ffb9a02546adae760787b2366ae6e41" > kZeroTol< / a > ) {< / div >
< div class = "line" > < a id = "l00439" name = "l00439" > < / a > < span class = "lineno" > 439< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_function" href = "namespaceutil.html#a302ee4bfcb86ea9ed64a193ed0b14648" > util::InternalErrorBuilder< / a > ()< / div >
< div class = "line" > < a id = "l00440" name = "l00440" > < / a > < span class = "lineno" > 440< / span > < < < span class = "stringliteral" > " negative z_value in first stage: " < / span > < < z_values[facility]< / div >
< div class = "line" > < a id = "l00441" name = "l00441" > < / a > < span class = "lineno" > 441< / span > < < < span class = "stringliteral" > " for facility " < / span > < < facility;< / div >
< div class = "line" > < a id = "l00442" name = "l00442" > < / a > < span class = "lineno" > 442< / span > }< / div >
< div class = "line" > < a id = "l00443" name = "l00443" > < / a > < span class = "lineno" > 443< / span > < span class = "comment" > // Make sure variable bounds are valid (lb < = ub).< / span > < / div >
< div class = "line" > < a id = "l00444" name = "l00444" > < / a > < span class = "lineno" > 444< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > double< / span > capacity_value = < a class = "code hl_variable" href = "alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f" > std::max< / a > (z_values[facility], 0.0);< / div >
< div class = "line" > < a id = "l00445" name = "l00445" > < / a > < span class = "lineno" > 445< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & edge : network_.edges_incident_to_facility(facility)) {< / div >
< div class = "line" > < a id = "l00446" name = "l00446" > < / a > < span class = "lineno" > 446< / span > second_stage_model_.set_upper_bound(x_.at(edge),< / div >
< div class = "line" > < a id = "l00447" name = "l00447" > < / a > < span class = "lineno" > 447< / span > location_fraction_ * capacity_value);< / div >
< div class = "line" > < a id = "l00448" name = "l00448" > < / a > < span class = "lineno" > 448< / span > }< / div >
< div class = "line" > < a id = "l00449" name = "l00449" > < / a > < span class = "lineno" > 449< / span > second_stage_model_.set_upper_bound(supply_constraints_[facility],< / div >
< div class = "line" > < a id = "l00450" name = "l00450" > < / a > < span class = "lineno" > 450< / span > capacity_value);< / div >
< div class = "line" > < a id = "l00451" name = "l00451" > < / a > < span class = "lineno" > 451< / span > }< / div >
< div class = "line" > < a id = "l00452" name = "l00452" > < / a > < span class = "lineno" > 452< / span > < span class = "comment" > // Solve and process second stage.< / span > < / div >
< div class = "line" > < a id = "l00453" name = "l00453" > < / a > < span class = "lineno" > 453< / 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 > second_stage_result,< / div >
< div class = "line" > < a id = "l00454" name = "l00454" > < / a > < span class = "lineno" > 454< / span > solver_-> Solve(< a class = "code hl_struct" href = "structoperations__research_1_1math__opt_1_1_solve_arguments.html" > math_opt::SolveArguments< / a > {< / div >
< div class = "line" > < a id = "l00455" name = "l00455" > < / a > < span class = "lineno" > 455< / span > .parameters = second_stage_params_}));< / div >
< div class = "line" > < a id = "l00456" name = "l00456" > < / a > < span class = "lineno" > 456< / span > < span class = "keywordflow" > switch< / span > (second_stage_result.termination.reason) {< / div >
< div class = "line" > < a id = "l00457" name = "l00457" > < / a > < span class = "lineno" > 457< / span > < span class = "keywordflow" > case< / span > math_opt::TerminationReason::kInfeasible:< / div >
< div class = "line" > < a id = "l00458" name = "l00458" > < / a > < span class = "lineno" > 458< / span > < span class = "comment" > // If the second stage problem is infeasible we can construct a< / span > < / div >
< div class = "line" > < a id = "l00459" name = "l00459" > < / a > < span class = "lineno" > 459< / span > < span class = "comment" > // feasibility cut from a returned dual ray.< / span > < / div >
< div class = "line" > < a id = "l00460" name = "l00460" > < / a > < span class = "lineno" > 460< / span > {< / div >
< div class = "line" > < a id = "l00461" name = "l00461" > < / a > < span class = "lineno" > 461< / span > < a class = "code hl_define" href = "util_2status__macros_8h.html#a50de54834da66a6bcb7c9e37902e522b" > OR_ASSIGN_OR_RETURN3< / a > (< span class = "keyword" > const< / span > Cut feasibility_cut,< / div >
< div class = "line" > < a id = "l00462" name = "l00462" > < / a > < span class = "lineno" > 462< / span > FeasibilityCut(second_stage_result),< / div >
< div class = "line" > < a id = "l00463" name = "l00463" > < / a > < span class = "lineno" > 463< / span > _ < < < span class = "stringliteral" > " on infeasible for second stage solver" < / span > );< / div >
< div class = "line" > < a id = "l00464" name = "l00464" > < / a > < span class = "lineno" > 464< / span > < span class = "keywordflow" > return< / span > std::make_pair(< a class = "code hl_variable" href = "namespaceoperations__research_1_1math__opt.html#ad9f50c9313b35cc1e8887057dc4d9645" > kInf< / a > , feasibility_cut);< / div >
< div class = "line" > < a id = "l00465" name = "l00465" > < / a > < span class = "lineno" > 465< / span > }< / div >
< div class = "line" > < a id = "l00466" name = "l00466" > < / a > < span class = "lineno" > 466< / span > < span class = "keywordflow" > case< / span > math_opt::TerminationReason::kOptimal:< / div >
< div class = "line" > < a id = "l00467" name = "l00467" > < / a > < span class = "lineno" > 467< / span > < span class = "comment" > // If the second stage problem is optimal we can construct an optimality< / span > < / div >
< div class = "line" > < a id = "l00468" name = "l00468" > < / a > < span class = "lineno" > 468< / span > < span class = "comment" > // cut from a returned dual optimal solution. We can also update the upper< / span > < / div >
< div class = "line" > < a id = "l00469" name = "l00469" > < / a > < span class = "lineno" > 469< / span > < span class = "comment" > // bound.< / span > < / div >
< div class = "line" > < a id = "l00470" name = "l00470" > < / a > < span class = "lineno" > 470< / span > {< / div >
< div class = "line" > < a id = "l00471" name = "l00471" > < / a > < span class = "lineno" > 471< / span > < span class = "comment" > // Upper bound is obtained by switching predicted second stage objective< / span > < / div >
< div class = "line" > < a id = "l00472" name = "l00472" > < / a > < span class = "lineno" > 472< / span > < span class = "comment" > // value w with the true second stage objective value.< / span > < / div >
< div class = "line" > < a id = "l00473" name = "l00473" > < / a > < span class = "lineno" > 473< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > double< / span > < a class = "code hl_variable" href = "gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35" > upper_bound< / a > = fist_stage_objective - w_value +< / div >
< div class = "line" > < a id = "l00474" name = "l00474" > < / a > < span class = "lineno" > 474< / span > second_stage_result.objective_value();< / div >
< div class = "line" > < a id = "l00475" name = "l00475" > < / a > < span class = "lineno" > 475< / span > < a class = "code hl_define" href = "util_2status__macros_8h.html#a50de54834da66a6bcb7c9e37902e522b" > OR_ASSIGN_OR_RETURN3< / a > (< span class = "keyword" > const< / span > Cut optimality_cut,< / div >
< div class = "line" > < a id = "l00476" name = "l00476" > < / a > < span class = "lineno" > 476< / span > OptimalityCut(second_stage_result),< / div >
< div class = "line" > < a id = "l00477" name = "l00477" > < / a > < span class = "lineno" > 477< / span > _ < < < span class = "stringliteral" > " on optimal for second stage solver" < / span > );< / div >
< div class = "line" > < a id = "l00478" name = "l00478" > < / a > < span class = "lineno" > 478< / span > < span class = "keywordflow" > return< / span > std::make_pair(< a class = "code hl_variable" href = "gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35" > upper_bound< / a > , optimality_cut);< / div >
< div class = "line" > < a id = "l00479" name = "l00479" > < / a > < span class = "lineno" > 479< / span > }< / div >
< div class = "line" > < a id = "l00480" name = "l00480" > < / a > < span class = "lineno" > 480< / span > < span class = "keywordflow" > default< / span > :< / div >
< div class = "line" > < a id = "l00481" name = "l00481" > < / a > < span class = "lineno" > 481< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_function" href = "namespaceutil.html#a302ee4bfcb86ea9ed64a193ed0b14648" > util::InternalErrorBuilder< / a > ()< / div >
< div class = "line" > < a id = "l00482" name = "l00482" > < / a > < span class = "lineno" > 482< / span > < < < span class = "stringliteral" > " second stage was not solved to optimality or infeasibility: " < / span > < / div >
< div class = "line" > < a id = "l00483" name = "l00483" > < / a > < span class = "lineno" > 483< / span > < < second_stage_result.termination;< / div >
< div class = "line" > < a id = "l00484" name = "l00484" > < / a > < span class = "lineno" > 484< / span > }< / div >
< div class = "line" > < a id = "l00485" name = "l00485" > < / a > < span class = "lineno" > 485< / span > }< / div >
< div class = "line" > < a id = "l00486" name = "l00486" > < / a > < span class = "lineno" > 486< / span > < / div >
< div class = "line" > < a id = "l00487" name = "l00487" > < / a > < span class = "lineno" > 487< / span > < span class = "comment" > // If the second stage problem is infeasible we get a dual ray (r, y) such that< / span > < / div >
< div class = "line" > < a id = "l00488" name = "l00488" > < / a > < span class = "lineno" > 488< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00489" name = "l00489" > < / a > < span class = "lineno" > 489< / span > < span class = "comment" > // sum(r_(f,l)*a*zz_f : (f,l) in E, r_(f,l) < 0)< / span > < / div >
< div class = "line" > < a id = "l00490" name = "l00490" > < / a > < span class = "lineno" > 490< / span > < span class = "comment" > // + sum(y_f*zz_f : f in F, y_f < 0)< / span > < / div >
< div class = "line" > < a id = "l00491" name = "l00491" > < / a > < span class = "lineno" > 491< / span > < span class = "comment" > // + sum(y_l*d : l in L, y_l > 0) > 0.< / span > < / div >
< div class = "line" > < a id = "l00492" name = "l00492" > < / a > < span class = "lineno" > 492< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00493" name = "l00493" > < / a > < span class = "lineno" > 493< / span > < span class = "comment" > // Then we get the feasibility cut (go/math_opt-advanced-dual-use#benders)< / span > < / div >
< div class = "line" > < a id = "l00494" name = "l00494" > < / a > < span class = "lineno" > 494< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00495" name = "l00495" > < / a > < span class = "lineno" > 495< / span > < span class = "comment" > // sum(fcut_f*z_f) + fcut_const < = 0,< / span > < / div >
< div class = "line" > < a id = "l00496" name = "l00496" > < / a > < span class = "lineno" > 496< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00497" name = "l00497" > < / a > < span class = "lineno" > 497< / span > < span class = "comment" > // where< / span > < / div >
< div class = "line" > < a id = "l00498" name = "l00498" > < / a > < span class = "lineno" > 498< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00499" name = "l00499" > < / a > < span class = "lineno" > 499< / span > < span class = "comment" > // fcut_f = sum(r_(f,l)*a : (f,l) in E, r_(f,l) < 0)< / span > < / div >
< div class = "line" > < a id = "l00500" name = "l00500" > < / a > < span class = "lineno" > 500< / span > < span class = "comment" > // + min{y_f, 0}< / span > < / div >
< div class = "line" > < a id = "l00501" name = "l00501" > < / a > < span class = "lineno" > 501< / span > < span class = "comment" > // fcut_const = sum*(y_l*d : l in L, y_l > 0)< / span > < / div >
< div class = "line" > < a id = "l00502" name = "l00502" > < / a > < span class = "lineno" > 502< / span > absl::StatusOr< Cut> SecondStageSolver::FeasibilityCut(< / div >
< div class = "line" > < a id = "l00503" name = "l00503" > < / a > < span class = "lineno" > 503< / span > < 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 > & second_stage_result) {< / div >
< div class = "line" > < a id = "l00504" name = "l00504" > < / a > < span class = "lineno" > 504< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > num_facilities = network_.num_facilities();< / div >
< div class = "line" > < a id = "l00505" name = "l00505" > < / a > < span class = "lineno" > 505< / span > Cut result;< / div >
< div class = "line" > < a id = "l00506" name = "l00506" > < / a > < span class = "lineno" > 506< / span > < / div >
< div class = "line" > < a id = "l00507" name = "l00507" > < / a > < span class = "lineno" > 507< / span > < span class = "keywordflow" > if< / span > (!second_stage_result.< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a240b106da863fbff10545e97c2c72007" > has_dual_ray< / a > ()) {< / div >
< div class = "line" > < a id = "l00508" name = "l00508" > < / a > < span class = "lineno" > 508< / span > < span class = "comment" > // MathOpt does not require solvers to return a dual solution on optimal,< / span > < / div >
< div class = "line" > < a id = "l00509" name = "l00509" > < / a > < span class = "lineno" > 509< / span > < span class = "comment" > // but most LP solvers always will, see go/mathopt-solver-contracts for< / span > < / div >
< div class = "line" > < a id = "l00510" name = "l00510" > < / a > < span class = "lineno" > 510< / span > < span class = "comment" > // details.< / span > < / div >
< div class = "line" > < a id = "l00511" name = "l00511" > < / a > < span class = "lineno" > 511< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_function" href = "namespaceutil.html#a302ee4bfcb86ea9ed64a193ed0b14648" > util::InternalErrorBuilder< / a > ()< / div >
< div class = "line" > < a id = "l00512" name = "l00512" > < / a > < span class = "lineno" > 512< / span > < < < span class = "stringliteral" > " no dual ray available for feasibility cut" < / span > ;< / div >
< div class = "line" > < a id = "l00513" name = "l00513" > < / a > < span class = "lineno" > 513< / span > }< / div >
< div class = "line" > < a id = "l00514" name = "l00514" > < / a > < span class = "lineno" > 514< / span > < / div >
< div class = "line" > < a id = "l00515" name = "l00515" > < / a > < span class = "lineno" > 515< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > facility = 0; facility < num_facilities; ++facility) {< / div >
< div class = "line" > < a id = "l00516" name = "l00516" > < / a > < span class = "lineno" > 516< / span > < span class = "keywordtype" > double< / span > < a class = "code hl_variable" href = "routing__filters_8cc.html#a8e4ee19dee0e00541dbe9bbc83d806ba" > coefficient< / a > = 0.0;< / div >
< div class = "line" > < a id = "l00517" name = "l00517" > < / a > < span class = "lineno" > 517< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & edge : network_.edges_incident_to_facility(facility)) {< / div >
< div class = "line" > < a id = "l00518" name = "l00518" > < / a > < span class = "lineno" > 518< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > double< / span > reduced_cost =< / div >
< div class = "line" > < a id = "l00519" name = "l00519" > < / a > < span class = "lineno" > 519< / span > second_stage_result.< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_solve_result.html#aafa2eea97d94bf02b53add568f96a5b7" > ray_reduced_costs< / a > ().at(x_.at(edge));< / div >
< div class = "line" > < a id = "l00520" name = "l00520" > < / a > < span class = "lineno" > 520< / span > < a class = "code hl_variable" href = "routing__filters_8cc.html#a8e4ee19dee0e00541dbe9bbc83d806ba" > coefficient< / a > += location_fraction_ * < a class = "code hl_variable" href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > std::min< / a > (reduced_cost, 0.0);< / div >
< div class = "line" > < a id = "l00521" name = "l00521" > < / a > < span class = "lineno" > 521< / span > }< / div >
< div class = "line" > < a id = "l00522" name = "l00522" > < / a > < span class = "lineno" > 522< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > double< / span > dual_value =< / div >
< div class = "line" > < a id = "l00523" name = "l00523" > < / a > < span class = "lineno" > 523< / span > second_stage_result.< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a5511ef5b247197964fac748cc4a8de1f" > ray_dual_values< / a > ().at(supply_constraints_[facility]);< / div >
< div class = "line" > < a id = "l00524" name = "l00524" > < / a > < span class = "lineno" > 524< / span > < a class = "code hl_variable" href = "routing__filters_8cc.html#a8e4ee19dee0e00541dbe9bbc83d806ba" > coefficient< / a > += < a class = "code hl_variable" href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > std::min< / a > (dual_value, 0.0);< / div >
< div class = "line" > < a id = "l00525" name = "l00525" > < / a > < span class = "lineno" > 525< / span > result.z_coefficients.push_back(< a class = "code hl_variable" href = "routing__filters_8cc.html#a8e4ee19dee0e00541dbe9bbc83d806ba" > coefficient< / a > );< / div >
< div class = "line" > < a id = "l00526" name = "l00526" > < / a > < span class = "lineno" > 526< / span > }< / div >
< div class = "line" > < a id = "l00527" name = "l00527" > < / a > < span class = "lineno" > 527< / span > result.constant = 0.0;< / div >
< div class = "line" > < a id = "l00528" name = "l00528" > < / a > < span class = "lineno" > 528< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & constraint : demand_constraints_) {< / div >
< div class = "line" > < a id = "l00529" name = "l00529" > < / a > < span class = "lineno" > 529< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > double< / span > dual_value =< / div >
< div class = "line" > < a id = "l00530" name = "l00530" > < / a > < span class = "lineno" > 530< / span > second_stage_result.< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a5511ef5b247197964fac748cc4a8de1f" > ray_dual_values< / a > ().at(constraint);< / div >
< div class = "line" > < a id = "l00531" name = "l00531" > < / a > < span class = "lineno" > 531< / span > result.constant += < a class = "code hl_variable" href = "alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f" > std::max< / a > (dual_value, 0.0);< / div >
< div class = "line" > < a id = "l00532" name = "l00532" > < / a > < span class = "lineno" > 532< / span > }< / div >
< div class = "line" > < a id = "l00533" name = "l00533" > < / a > < span class = "lineno" > 533< / span > result.w_coefficient = 0.0;< / div >
< div class = "line" > < a id = "l00534" name = "l00534" > < / a > < span class = "lineno" > 534< / span > < span class = "keywordflow" > return< / span > result;< / div >
< div class = "line" > < a id = "l00535" name = "l00535" > < / a > < span class = "lineno" > 535< / span > }< / div >
< div class = "line" > < a id = "l00536" name = "l00536" > < / a > < span class = "lineno" > 536< / span > < / div >
< div class = "line" > < a id = "l00537" name = "l00537" > < / a > < span class = "lineno" > 537< / span > < span class = "comment" > // If the second stage problem is optimal we get a dual solution (r, y) such< / span > < / div >
< div class = "line" > < a id = "l00538" name = "l00538" > < / a > < span class = "lineno" > 538< / span > < span class = "comment" > // that the optimal objective value is equal to< / span > < / div >
< div class = "line" > < a id = "l00539" name = "l00539" > < / a > < span class = "lineno" > 539< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00540" name = "l00540" > < / a > < span class = "lineno" > 540< / span > < span class = "comment" > // sum(r_(f,l)*a*zz_f : (f,l) in E, r_(f,l) < 0)< / span > < / div >
< div class = "line" > < a id = "l00541" name = "l00541" > < / a > < span class = "lineno" > 541< / span > < span class = "comment" > // + sum(y_f*zz_f : f in F, y_f < 0)< / span > < / div >
< div class = "line" > < a id = "l00542" name = "l00542" > < / a > < span class = "lineno" > 542< / span > < span class = "comment" > // + sum*(y_l*d : l in L, y_l > 0) > 0.< / span > < / div >
< div class = "line" > < a id = "l00543" name = "l00543" > < / a > < span class = "lineno" > 543< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00544" name = "l00544" > < / a > < span class = "lineno" > 544< / span > < span class = "comment" > // Then we get the optimality cut (go/math_opt-advanced-dual-use#benders)< / span > < / div >
< div class = "line" > < a id = "l00545" name = "l00545" > < / a > < span class = "lineno" > 545< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00546" name = "l00546" > < / a > < span class = "lineno" > 546< / span > < span class = "comment" > // sum(ocut_f*z_f) + ocut_const < = w,< / span > < / div >
< div class = "line" > < a id = "l00547" name = "l00547" > < / a > < span class = "lineno" > 547< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00548" name = "l00548" > < / a > < span class = "lineno" > 548< / span > < span class = "comment" > // where< / span > < / div >
< div class = "line" > < a id = "l00549" name = "l00549" > < / a > < span class = "lineno" > 549< / span > < span class = "comment" > //< / span > < / div >
< div class = "line" > < a id = "l00550" name = "l00550" > < / a > < span class = "lineno" > 550< / span > < span class = "comment" > // ocut_f = sum(r_(f,l)*a : (f,l) in E, r_(f,l) < 0)< / span > < / div >
< div class = "line" > < a id = "l00551" name = "l00551" > < / a > < span class = "lineno" > 551< / span > < span class = "comment" > // + min{y_f, 0}< / span > < / div >
< div class = "line" > < a id = "l00552" name = "l00552" > < / a > < span class = "lineno" > 552< / span > < span class = "comment" > // ocut_const = sum*(y_l*d : l in L, y_l > 0)< / span > < / div >
< div class = "line" > < a id = "l00553" name = "l00553" > < / a > < span class = "lineno" > 553< / span > absl::StatusOr< Cut> SecondStageSolver::OptimalityCut(< / div >
< div class = "line" > < a id = "l00554" name = "l00554" > < / a > < span class = "lineno" > 554< / span > < 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 > & second_stage_result) {< / div >
< div class = "line" > < a id = "l00555" name = "l00555" > < / a > < span class = "lineno" > 555< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > num_facilities = network_.num_facilities();< / div >
< div class = "line" > < a id = "l00556" name = "l00556" > < / a > < span class = "lineno" > 556< / span > Cut result;< / div >
< div class = "line" > < a id = "l00557" name = "l00557" > < / a > < span class = "lineno" > 557< / span > < / div >
< div class = "line" > < a id = "l00558" name = "l00558" > < / a > < span class = "lineno" > 558< / span > < span class = "keywordflow" > if< / span > (!second_stage_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 = "l00559" name = "l00559" > < / a > < span class = "lineno" > 559< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_function" href = "namespaceutil.html#a302ee4bfcb86ea9ed64a193ed0b14648" > util::InternalErrorBuilder< / a > ()< / div >
< div class = "line" > < a id = "l00560" name = "l00560" > < / a > < span class = "lineno" > 560< / span > < < < span class = "stringliteral" > " no dual solution available for optimality cut" < / span > ;< / div >
< div class = "line" > < a id = "l00561" name = "l00561" > < / a > < span class = "lineno" > 561< / span > }< / div >
< div class = "line" > < a id = "l00562" name = "l00562" > < / a > < span class = "lineno" > 562< / span > < / div >
< div class = "line" > < a id = "l00563" name = "l00563" > < / a > < span class = "lineno" > 563< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > facility = 0; facility < num_facilities; ++facility) {< / div >
< div class = "line" > < a id = "l00564" name = "l00564" > < / a > < span class = "lineno" > 564< / span > < span class = "keywordtype" > double< / span > < a class = "code hl_variable" href = "routing__filters_8cc.html#a8e4ee19dee0e00541dbe9bbc83d806ba" > coefficient< / a > = 0.0;< / div >
< div class = "line" > < a id = "l00565" name = "l00565" > < / a > < span class = "lineno" > 565< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & edge : network_.edges_incident_to_facility(facility)) {< / div >
< div class = "line" > < a id = "l00566" name = "l00566" > < / a > < span class = "lineno" > 566< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > double< / span > reduced_cost =< / div >
< div class = "line" > < a id = "l00567" name = "l00567" > < / a > < span class = "lineno" > 567< / span > second_stage_result.< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_solve_result.html#acc1f8f5ed04e9ea770b526fa34d6076c" > reduced_costs< / a > ().at(x_.at(edge));< / div >
< div class = "line" > < a id = "l00568" name = "l00568" > < / a > < span class = "lineno" > 568< / span > < a class = "code hl_variable" href = "routing__filters_8cc.html#a8e4ee19dee0e00541dbe9bbc83d806ba" > coefficient< / a > += location_fraction_ * < a class = "code hl_variable" href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > std::min< / a > (reduced_cost, 0.0);< / div >
< div class = "line" > < a id = "l00569" name = "l00569" > < / a > < span class = "lineno" > 569< / span > }< / div >
< div class = "line" > < a id = "l00570" name = "l00570" > < / a > < span class = "lineno" > 570< / span > < span class = "keywordtype" > double< / span > dual_value =< / div >
< div class = "line" > < a id = "l00571" name = "l00571" > < / a > < span class = "lineno" > 571< / span > second_stage_result.< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a116b227550e648d43bfbaccf9557ce42" > dual_values< / a > ().at(supply_constraints_[facility]);< / div >
< div class = "line" > < a id = "l00572" name = "l00572" > < / a > < span class = "lineno" > 572< / span > < a class = "code hl_variable" href = "routing__filters_8cc.html#a8e4ee19dee0e00541dbe9bbc83d806ba" > coefficient< / a > += < a class = "code hl_variable" href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > std::min< / a > (dual_value, 0.0);< / div >
< div class = "line" > < a id = "l00573" name = "l00573" > < / a > < span class = "lineno" > 573< / span > result.z_coefficients.push_back(< a class = "code hl_variable" href = "routing__filters_8cc.html#a8e4ee19dee0e00541dbe9bbc83d806ba" > coefficient< / a > );< / div >
< div class = "line" > < a id = "l00574" name = "l00574" > < / a > < span class = "lineno" > 574< / span > }< / div >
< div class = "line" > < a id = "l00575" name = "l00575" > < / a > < span class = "lineno" > 575< / span > result.constant = 0.0;< / div >
< div class = "line" > < a id = "l00576" name = "l00576" > < / a > < span class = "lineno" > 576< / span > < span class = "keywordflow" > for< / span > (< span class = "keyword" > const< / span > < span class = "keyword" > auto< / span > & constraint : demand_constraints_) {< / div >
< div class = "line" > < a id = "l00577" name = "l00577" > < / a > < span class = "lineno" > 577< / span > < span class = "keywordtype" > double< / span > dual_value = second_stage_result.< a class = "code hl_function" href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a116b227550e648d43bfbaccf9557ce42" > dual_values< / a > ().at(constraint);< / div >
< div class = "line" > < a id = "l00578" name = "l00578" > < / a > < span class = "lineno" > 578< / span > result.constant += < a class = "code hl_variable" href = "alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f" > std::max< / a > (dual_value, 0.0);< / div >
< div class = "line" > < a id = "l00579" name = "l00579" > < / a > < span class = "lineno" > 579< / span > }< / div >
< div class = "line" > < a id = "l00580" name = "l00580" > < / a > < span class = "lineno" > 580< / span > result.w_coefficient = 1.0;< / div >
< div class = "line" > < a id = "l00581" name = "l00581" > < / a > < span class = "lineno" > 581< / span > < span class = "keywordflow" > return< / span > result;< / div >
< div class = "line" > < a id = "l00582" name = "l00582" > < / a > < span class = "lineno" > 582< / span > }< / div >
< div class = "line" > < a id = "l00583" name = "l00583" > < / a > < span class = "lineno" > 583< / span > < / div >
< div class = "line" > < a id = "l00584" name = "l00584" > < / a > < span class = "lineno" > 584< / span > absl::Status Benders(< span class = "keyword" > const< / span > FacilityLocationInstance& instance,< / div >
< div class = "line" > < a id = "l00585" name = "l00585" > < / a > < span class = "lineno" > 585< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > double< / span > target_precission,< / div >
< div class = "line" > < a id = "l00586" name = "l00586" > < / a > < span class = "lineno" > 586< / span > < span class = "keyword" > const< / span > < a class = "code hl_enumeration" href = "namespaceoperations__research_1_1math__opt.html#a8b06041d7c1fb05f379714f4312306ec" > math_opt::SolverType< / a > solver_type,< / div >
< div class = "line" > < a id = "l00587" name = "l00587" > < / a > < span class = "lineno" > 587< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > maximum_iterations = 30000) {< / div >
< div class = "line" > < a id = "l00588" name = "l00588" > < / a > < span class = "lineno" > 588< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > int< / span > num_facilities = instance.network.num_facilities();< / div >
< div class = "line" > < a id = "l00589" name = "l00589" > < / a > < span class = "lineno" > 589< / span > < / div >
< div class = "line" > < a id = "l00590" name = "l00590" > < / a > < span class = "lineno" > 590< / span > < span class = "comment" > // Setup first stage model and solver.< / span > < / div >
< div class = "line" > < a id = "l00591" name = "l00591" > < / a > < span class = "lineno" > 591< / span > FirstStageProblem first_stage(instance.network, instance.facility_cost);< / div >
< div class = "line" > < a id = "l00592" name = "l00592" > < / a > < span class = "lineno" > 592< / span > < a class = "code hl_define" href = "base_2status__macros_8h.html#a600de4b8f65fe0a4b1898041634f9011" > ASSIGN_OR_RETURN< / a > (< / div >
< div class = "line" > < a id = "l00593" name = "l00593" > < / a > < span class = "lineno" > 593< / span > < span class = "keyword" > const< / span > std::unique_ptr< math_opt::IncrementalSolver> first_stage_solver,< / div >
< div class = "line" > < a id = "l00594" name = "l00594" > < / a > < span class = "lineno" > 594< / span > < a class = "code hl_function" href = "classoperations__research_1_1math__opt_1_1_incremental_solver.html#ae216d134c8146dadaa9c16ef2ed1f7c4" > math_opt::IncrementalSolver::New< / a > (& first_stage.model, solver_type));< / div >
< div class = "line" > < a id = "l00595" name = "l00595" > < / a > < span class = "lineno" > 595< / span > < span class = "comment" > // Setup second stage solver.< / span > < / div >
< div class = "line" > < a id = "l00596" name = "l00596" > < / a > < span class = "lineno" > 596< / span > < a class = "code hl_define" href = "base_2status__macros_8h.html#a600de4b8f65fe0a4b1898041634f9011" > ASSIGN_OR_RETURN< / a > (std::unique_ptr< SecondStageSolver> second_stage_solver,< / div >
< div class = "line" > < a id = "l00597" name = "l00597" > < / a > < span class = "lineno" > 597< / span > SecondStageSolver::New(instance, solver_type));< / div >
< div class = "line" > < a id = "l00598" name = "l00598" > < / a > < span class = "lineno" > 598< / span > < span class = "comment" > // Start Benders< / span > < / div >
< div class = "line" > < a id = "l00599" name = "l00599" > < / a > < span class = "lineno" > 599< / span > < span class = "keywordtype" > int< / span > iteration = 0;< / div >
< div class = "line" > < a id = "l00600" name = "l00600" > < / a > < span class = "lineno" > 600< / span > < span class = "keywordtype" > double< / span > best_upper_bound = < a class = "code hl_variable" href = "namespaceoperations__research_1_1math__opt.html#ad9f50c9313b35cc1e8887057dc4d9645" > kInf< / a > ;< / div >
< div class = "line" > < a id = "l00601" name = "l00601" > < / a > < span class = "lineno" > 601< / span > std::vector< double> z_values;< / div >
< div class = "line" > < a id = "l00602" name = "l00602" > < / a > < span class = "lineno" > 602< / span > z_values.resize(num_facilities);< / div >
< div class = "line" > < a id = "l00603" name = "l00603" > < / a > < span class = "lineno" > 603< / span > < span class = "keywordflow" > while< / span > (< span class = "keyword" > true< / span > ) {< / div >
< div class = "line" > < a id = "l00604" name = "l00604" > < / a > < span class = "lineno" > 604< / 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" > " Iteration: " < / span > < < iteration;< / div >
< div class = "line" > < a id = "l00605" name = "l00605" > < / a > < span class = "lineno" > 605< / span > < / div >
< div class = "line" > < a id = "l00606" name = "l00606" > < / a > < span class = "lineno" > 606< / span > < span class = "comment" > // Solve and process first stage.< / span > < / div >
< div class = "line" > < a id = "l00607" name = "l00607" > < / a > < span class = "lineno" > 607< / 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 > first_stage_result,< / div >
< div class = "line" > < a id = "l00608" name = "l00608" > < / a > < span class = "lineno" > 608< / span > first_stage_solver-> Solve());< / div >
< div class = "line" > < a id = "l00609" name = "l00609" > < / a > < span class = "lineno" > 609< / span > < span class = "keywordflow" > if< / span > (first_stage_result.termination.reason !=< / div >
< div class = "line" > < a id = "l00610" name = "l00610" > < / a > < span class = "lineno" > 610< / span > math_opt::TerminationReason::kOptimal) {< / div >
< div class = "line" > < a id = "l00611" name = "l00611" > < / a > < span class = "lineno" > 611< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_function" href = "namespaceutil.html#a302ee4bfcb86ea9ed64a193ed0b14648" > util::InternalErrorBuilder< / a > ()< / div >
< div class = "line" > < a id = "l00612" name = "l00612" > < / a > < span class = "lineno" > 612< / span > < < < span class = "stringliteral" > " could not solve first stage problem to optimality:" < / span > < / div >
< div class = "line" > < a id = "l00613" name = "l00613" > < / a > < span class = "lineno" > 613< / span > < < first_stage_result.termination;< / div >
< div class = "line" > < a id = "l00614" name = "l00614" > < / a > < span class = "lineno" > 614< / span > }< / div >
< div class = "line" > < a id = "l00615" name = "l00615" > < / a > < span class = "lineno" > 615< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > j = 0; j < num_facilities; j++) {< / div >
< div class = "line" > < a id = "l00616" name = "l00616" > < / a > < span class = "lineno" > 616< / span > z_values[j] = first_stage_result.variable_values().at(first_stage.z[j]);< / div >
< div class = "line" > < a id = "l00617" name = "l00617" > < / a > < span class = "lineno" > 617< / span > }< / div >
< div class = "line" > < a id = "l00618" name = "l00618" > < / a > < span class = "lineno" > 618< / span > < span class = "keyword" > const< / span > < span class = "keywordtype" > double< / span > < a class = "code hl_variable" href = "gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec" > lower_bound< / a > = first_stage_result.objective_value();< / div >
< div class = "line" > < a id = "l00619" name = "l00619" > < / a > < span class = "lineno" > 619< / 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" > " LB = " < / span > < < < a class = "code hl_variable" href = "gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec" > lower_bound< / a > ;< / div >
< div class = "line" > < a id = "l00620" name = "l00620" > < / a > < span class = "lineno" > 620< / span > < span class = "comment" > // Solve and process second stage.< / span > < / div >
< div class = "line" > < a id = "l00621" name = "l00621" > < / a > < span class = "lineno" > 621< / span > < a class = "code hl_define" href = "base_2status__macros_8h.html#a600de4b8f65fe0a4b1898041634f9011" > ASSIGN_OR_RETURN< / a > (< / div >
< div class = "line" > < a id = "l00622" name = "l00622" > < / a > < span class = "lineno" > 622< / span > (< span class = "keyword" > auto< / span > [< a class = "code hl_variable" href = "gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35" > upper_bound< / a > , cut]),< / div >
< div class = "line" > < a id = "l00623" name = "l00623" > < / a > < span class = "lineno" > 623< / span > second_stage_solver-> Solve(< / div >
< div class = "line" > < a id = "l00624" name = "l00624" > < / a > < span class = "lineno" > 624< / span > z_values, first_stage_result.variable_values().at(first_stage.w),< / div >
< div class = "line" > < a id = "l00625" name = "l00625" > < / a > < span class = "lineno" > 625< / span > first_stage_result.objective_value()));< / div >
< div class = "line" > < a id = "l00626" name = "l00626" > < / a > < span class = "lineno" > 626< / span > < a class = "code hl_class" href = "classoperations__research_1_1math__opt_1_1_linear_expression.html" > math_opt::LinearExpression< / a > cut_expression;< / div >
< div class = "line" > < a id = "l00627" name = "l00627" > < / a > < span class = "lineno" > 627< / span > < span class = "keywordflow" > for< / span > (< span class = "keywordtype" > int< / span > j = 0; j < num_facilities; j++) {< / div >
< div class = "line" > < a id = "l00628" name = "l00628" > < / a > < span class = "lineno" > 628< / span > cut_expression += cut.z_coefficients[j] * first_stage.z[j];< / div >
< div class = "line" > < a id = "l00629" name = "l00629" > < / a > < span class = "lineno" > 629< / span > }< / div >
< div class = "line" > < a id = "l00630" name = "l00630" > < / a > < span class = "lineno" > 630< / span > cut_expression += cut.constant;< / div >
< div class = "line" > < a id = "l00631" name = "l00631" > < / a > < span class = "lineno" > 631< / span > first_stage.model.AddLinearConstraint(cut_expression < =< / div >
< div class = "line" > < a id = "l00632" name = "l00632" > < / a > < span class = "lineno" > 632< / span > cut.w_coefficient * first_stage.w);< / div >
< div class = "line" > < a id = "l00633" name = "l00633" > < / a > < span class = "lineno" > 633< / span > best_upper_bound = < a class = "code hl_variable" href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > std::min< / a > (< a class = "code hl_variable" href = "gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35" > upper_bound< / a > , best_upper_bound);< / div >
< div class = "line" > < a id = "l00634" name = "l00634" > < / a > < span class = "lineno" > 634< / 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" > " UB = " < / span > < < best_upper_bound;< / div >
< div class = "line" > < a id = "l00635" name = "l00635" > < / a > < span class = "lineno" > 635< / span > ++iteration;< / div >
< div class = "line" > < a id = "l00636" name = "l00636" > < / a > < span class = "lineno" > 636< / span > < span class = "keywordflow" > if< / span > (best_upper_bound - < a class = "code hl_variable" href = "gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec" > lower_bound< / a > < target_precission) {< / div >
< div class = "line" > < a id = "l00637" name = "l00637" > < / a > < span class = "lineno" > 637< / span > std::cout < < < span class = "stringliteral" > " Total iterations = " < / span > < < iteration < < std::endl;< / div >
< div class = "line" > < a id = "l00638" name = "l00638" > < / a > < span class = "lineno" > 638< / span > std::cout < < < span class = "stringliteral" > " Final LB = " < / span > < < absl::StrFormat(< span class = "stringliteral" > " %.9f" < / span > , < a class = "code hl_variable" href = "gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec" > lower_bound< / a > )< / div >
< div class = "line" > < a id = "l00639" name = "l00639" > < / a > < span class = "lineno" > 639< / span > < < std::endl;< / div >
< div class = "line" > < a id = "l00640" name = "l00640" > < / a > < span class = "lineno" > 640< / span > std::cout < < < span class = "stringliteral" > " Final UB = " < / span > < < absl::StrFormat(< span class = "stringliteral" > " %.9f" < / span > , best_upper_bound)< / div >
< div class = "line" > < a id = "l00641" name = "l00641" > < / a > < span class = "lineno" > 641< / span > < < std::endl;< / div >
< div class = "line" > < a id = "l00642" name = "l00642" > < / a > < span class = "lineno" > 642< / span > < span class = "keywordflow" > break< / span > ;< / div >
< div class = "line" > < a id = "l00643" name = "l00643" > < / a > < span class = "lineno" > 643< / span > }< / div >
< div class = "line" > < a id = "l00644" name = "l00644" > < / a > < span class = "lineno" > 644< / span > < span class = "keywordflow" > if< / span > (iteration > maximum_iterations) {< / div >
< div class = "line" > < a id = "l00645" name = "l00645" > < / a > < span class = "lineno" > 645< / span > < span class = "keywordflow" > break< / span > ;< / div >
< div class = "line" > < a id = "l00646" name = "l00646" > < / a > < span class = "lineno" > 646< / span > }< / div >
< div class = "line" > < a id = "l00647" name = "l00647" > < / a > < span class = "lineno" > 647< / span > }< / div >
< div class = "line" > < a id = "l00648" name = "l00648" > < / a > < span class = "lineno" > 648< / span > < span class = "keywordflow" > return< / span > absl::OkStatus();< / div >
< div class = "line" > < a id = "l00649" name = "l00649" > < / a > < span class = "lineno" > 649< / span > }< / div >
< div class = "line" > < a id = "l00650" name = "l00650" > < / a > < span class = "lineno" > 650< / span > absl::Status Main() {< / div >
< div class = "line" > < a id = "l00651" name = "l00651" > < / a > < span class = "lineno" > 651< / span > < span class = "keyword" > const< / span > FacilityLocationInstance instance{< / div >
< div class = "line" > < a id = "l00652" name = "l00652" > < / a > < span class = "lineno" > 652< / span > .network = Network(absl::GetFlag(FLAGS_num_facilities),< / div >
< div class = "line" > < a id = "l00653" name = "l00653" > < / a > < span class = "lineno" > 653< / span > absl::GetFlag(FLAGS_num_locations),< / div >
< div class = "line" > < a id = "l00654" name = "l00654" > < / a > < span class = "lineno" > 654< / span > absl::GetFlag(FLAGS_edge_probability)),< / div >
< div class = "line" > < a id = "l00655" name = "l00655" > < / a > < span class = "lineno" > 655< / span > .location_demand = absl::GetFlag(FLAGS_location_demand),< / div >
< div class = "line" > < a id = "l00656" name = "l00656" > < / a > < span class = "lineno" > 656< / span > .facility_cost = absl::GetFlag(FLAGS_facility_cost),< / div >
< div class = "line" > < a id = "l00657" name = "l00657" > < / a > < span class = "lineno" > 657< / span > .location_fraction = absl::GetFlag(FLAGS_location_fraction)};< / div >
< div class = "line" > < a id = "l00658" name = "l00658" > < / a > < span class = "lineno" > 658< / span > absl::Time < a class = "code hl_variable" href = "sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe" > start< / a > = absl::Now();< / div >
< div class = "line" > < a id = "l00659" name = "l00659" > < / a > < span class = "lineno" > 659< / span > < a class = "code hl_define" href = "base_2status__macros_8h.html#acdc223d8c59d5c591dc6b4e88257627b" > RETURN_IF_ERROR< / a > (FullProblem(instance, absl::GetFlag(FLAGS_solver_type)))< / div >
< div class = "line" > < a id = "l00660" name = "l00660" > < / a > < span class = "lineno" > 660< / span > < < < span class = "stringliteral" > " full solve failed" < / span > ;< / div >
< div class = "line" > < a id = "l00661" name = "l00661" > < / a > < span class = "lineno" > 661< / span > std::cout < < < span class = "stringliteral" > " Full solve time : " < / span > < < absl::Now() - < a class = "code hl_variable" href = "sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe" > start< / a > < < std::endl;< / div >
< div class = "line" > < a id = "l00662" name = "l00662" > < / a > < span class = "lineno" > 662< / span > < a class = "code hl_variable" href = "sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe" > start< / a > = absl::Now();< / div >
< div class = "line" > < a id = "l00663" name = "l00663" > < / a > < span class = "lineno" > 663< / span > < a class = "code hl_define" href = "base_2status__macros_8h.html#acdc223d8c59d5c591dc6b4e88257627b" > RETURN_IF_ERROR< / a > (Benders(instance, absl::GetFlag(FLAGS_benders_precission),< / div >
< div class = "line" > < a id = "l00664" name = "l00664" > < / a > < span class = "lineno" > 664< / span > absl::GetFlag(FLAGS_solver_type)))< / div >
< div class = "line" > < a id = "l00665" name = "l00665" > < / a > < span class = "lineno" > 665< / span > < < < span class = "stringliteral" > " Benders solve failed" < / span > ;< / div >
< div class = "line" > < a id = "l00666" name = "l00666" > < / a > < span class = "lineno" > 666< / span > std::cout < < < span class = "stringliteral" > " Benders solve time : " < / span > < < absl::Now() - < a class = "code hl_variable" href = "sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe" > start< / a > < < std::endl;< / div >
< div class = "line" > < a id = "l00667" name = "l00667" > < / a > < span class = "lineno" > 667< / span > < span class = "keywordflow" > return< / span > absl::OkStatus();< / div >
< div class = "line" > < a id = "l00668" name = "l00668" > < / a > < span class = "lineno" > 668< / span > }< / div >
< div class = "line" > < a id = "l00669" name = "l00669" > < / a > < span class = "lineno" > 669< / span > } < span class = "comment" > // namespace< / span > < / div >
< div class = "line" > < a id = "l00670" name = "l00670" > < / a > < span class = "lineno" > 670< / span > < / div >
< div class = "line" > < a id = "l00671" name = "l00671" > < / a > < span class = "lineno" > < a class = "line" href = "facility__lp__benders_8cc.html#a3c04138a5bfe5d72780bb7e82a18e627" > 671< / a > < / span > < span class = "keywordtype" > int< / span > < a class = "code hl_function" href = "facility__lp__benders_8cc.html#a3c04138a5bfe5d72780bb7e82a18e627" > main< / a > (< span class = "keywordtype" > int< / span > argc, < span class = "keywordtype" > char< / span > ** argv) {< / div >
< div class = "line" > < a id = "l00672" name = "l00672" > < / a > < span class = "lineno" > 672< / 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 = "l00673" name = "l00673" > < / a > < span class = "lineno" > 673< / span > < span class = "keyword" > const< / span > absl::Status < a class = "code hl_variable" href = "g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d" > status< / a > = Main();< / div >
< div class = "line" > < a id = "l00674" name = "l00674" > < / a > < span class = "lineno" > 674< / span > < span class = "keywordflow" > if< / span > (!< a class = "code hl_variable" href = "g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d" > status< / a > .ok()) {< / div >
< div class = "line" > < a id = "l00675" name = "l00675" > < / a > < span class = "lineno" > 675< / span > < a class = "code hl_define" href = "base_2logging_8h.html#accad43a85d781d53381cd53a9894b6ae" > LOG< / a > (QFATAL) < < < a class = "code hl_variable" href = "g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d" > status< / a > ;< / div >
< div class = "line" > < a id = "l00676" name = "l00676" > < / a > < span class = "lineno" > 676< / span > }< / div >
< div class = "line" > < a id = "l00677" name = "l00677" > < / a > < span class = "lineno" > 677< / span > < span class = "keywordflow" > return< / span > 0;< / div >
< div class = "line" > < a id = "l00678" name = "l00678" > < / a > < span class = "lineno" > 678< / span > }< / div >
< div class = "ttc" id = "aalldiff__cst_8cc_html_a26e6db9bcc64b584051ecc28171ed11f" > < div class = "ttname" > < a href = "alldiff__cst_8cc.html#a26e6db9bcc64b584051ecc28171ed11f" > max< / a > < / div > < div class = "ttdeci" > int64_t max< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "alldiff__cst_8cc_source.html#l00140" > alldiff_cst.cc:140< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "aalldiff__cst_8cc_html_ad10edae0a852d72fb76afb1c77735045" > < div class = "ttname" > < a href = "alldiff__cst_8cc.html#ad10edae0a852d72fb76afb1c77735045" > min< / a > < / div > < div class = "ttdeci" > int64_t min< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "alldiff__cst_8cc_source.html#l00139" > alldiff_cst.cc:139< / a > < / div > < / div >
< div class = "ttc" id = "abase_2logging_8h_html" > < div class = "ttname" > < a href = "base_2logging_8h.html" > logging.h< / a > < / div > < / div >
< 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 = "abase_2status__macros_8h_html_acdc223d8c59d5c591dc6b4e88257627b" > < div class = "ttname" > < a href = "base_2status__macros_8h.html#acdc223d8c59d5c591dc6b4e88257627b" > RETURN_IF_ERROR< / a > < / div > < div class = "ttdeci" > #define RETURN_IF_ERROR(expr)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "base_2status__macros_8h_source.html#l00027" > base/status_macros.h:27< / 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_expression_html" > < div class = "ttname" > < a href = "classoperations__research_1_1math__opt_1_1_linear_expression.html" > operations_research::math_opt::LinearExpression< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "variable__and__expressions_8h_source.html#l00193" > variable_and_expressions.h:193< / 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 >
< 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 >
< div class = "ttc" id = "acp__model__fz__solver_8cc_html_a10a1eab179b472c030bdc2a2efef7219" > < div class = "ttname" > < a href = "cp__model__fz__solver_8cc.html#a10a1eab179b472c030bdc2a2efef7219" > parameters< / a > < / div > < div class = "ttdeci" > SatParameters parameters< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "cp__model__fz__solver_8cc_source.html#l00119" > cp_model_fz_solver.cc:119< / a > < / div > < / div >
< div class = "ttc" id = "afacility__lp__benders_8cc_html_a3c04138a5bfe5d72780bb7e82a18e627" > < div class = "ttname" > < a href = "facility__lp__benders_8cc.html#a3c04138a5bfe5d72780bb7e82a18e627" > main< / a > < / div > < div class = "ttdeci" > int main(int argc, char **argv)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "facility__lp__benders_8cc_source.html#l00671" > facility_lp_benders.cc:671< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "afacility__lp__benders_8cc_html_ab408ded47ed4632487b6f538ae4df9d0" > < div class = "ttname" > < a href = "facility__lp__benders_8cc.html#ab408ded47ed4632487b6f538ae4df9d0" > ABSL_FLAG< / a > < / div > < div class = "ttdeci" > ABSL_FLAG(int, num_facilities, 3000, " Number of facilities." )< / div > < / div >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "ag__gurobi_8cc_html_a2237393c7ae7ad7344c9885066d5ab6d" > < div class = "ttname" > < a href = "g__gurobi_8cc.html#a2237393c7ae7ad7344c9885066d5ab6d" > status< / a > < / div > < div class = "ttdeci" > absl::Status status< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "g__gurobi_8cc_source.html#l00035" > g_gurobi.cc:35< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "agscip__solver_8cc_html_a1ba5ca0f61f2fa13bd23bf0f89004f35" > < div class = "ttname" > < a href = "gscip__solver_8cc.html#a1ba5ca0f61f2fa13bd23bf0f89004f35" > upper_bound< / a > < / div > < div class = "ttdeci" > double upper_bound< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "gscip__solver_8cc_source.html#l00137" > gscip_solver.cc:137< / a > < / div > < / div >
< div class = "ttc" id = "agscip__solver_8cc_html_a1e2f9a2352c1d9a6cada9544898fceec" > < div class = "ttname" > < a href = "gscip__solver_8cc.html#a1e2f9a2352c1d9a6cada9544898fceec" > lower_bound< / a > < / div > < div class = "ttdeci" > double lower_bound< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "gscip__solver_8cc_source.html#l00136" > gscip_solver.cc:136< / 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 >
< div class = "ttc" id = "alagrangian__relaxation_8cc_html_a6ffb9a02546adae760787b2366ae6e41" > < div class = "ttname" > < a href = "lagrangian__relaxation_8cc.html#a6ffb9a02546adae760787b2366ae6e41" > kZeroTol< / a > < / div > < div class = "ttdeci" > constexpr double kZeroTol< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "lagrangian__relaxation_8cc_source.html#l00115" > lagrangian_relaxation.cc:115< / 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 >
2022-03-04 00:11:33 +01:00
< 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 >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "anamespaceoperations__research_1_1math__opt_html_a2d3e7a73de1ae32066be431b5e68f613" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1math__opt.html#a2d3e7a73de1ae32066be431b5e68f613" > operations_research::math_opt::Sum< / a > < / div > < div class = "ttdeci" > LinearExpression Sum(const Iterable & items)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "variable__and__expressions_8h_source.html#l01220" > variable_and_expressions.h:1220< / 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 >
< div class = "ttc" id = "anamespaceoperations__research_1_1math__opt_html_a8b06041d7c1fb05f379714f4312306ec" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1math__opt.html#a8b06041d7c1fb05f379714f4312306ec" > operations_research::math_opt::SolverType< / a > < / div > < div class = "ttdeci" > SolverType< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "parameters_8h_source.html#l00037" > parameters.h:37< / a > < / div > < / div >
< div class = "ttc" id = "anamespaceoperations__research_1_1math__opt_html_a8b06041d7c1fb05f379714f4312306eca512b5059e1ca814e697fb191d93aaf7f" > < div class = "ttname" > < a href = "namespaceoperations__research_1_1math__opt.html#a8b06041d7c1fb05f379714f4312306eca512b5059e1ca814e697fb191d93aaf7f" > operations_research::math_opt::SolverType::kGlop< / a > < / div > < div class = "ttdeci" > @ kGlop< / div > < / div >
< 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 = "anamespacestd_html" > < div class = "ttname" > < a href = "namespacestd.html" > std< / a > < / div > < div class = "ttdoc" > STL namespace.< / 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 >
< div class = "ttc" id = "arouting__filters_8cc_html_a8e4ee19dee0e00541dbe9bbc83d806ba" > < div class = "ttname" > < a href = "routing__filters_8cc.html#a8e4ee19dee0e00541dbe9bbc83d806ba" > coefficient< / a > < / div > < div class = "ttdeci" > int64_t coefficient< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "routing__filters_8cc_source.html#l00969" > routing_filters.cc:969< / a > < / div > < / div >
2022-01-17 21:42:14 +01:00
< div class = "ttc" id = "asparse__submatrix_8cc_html_a9b7656b922ea4ec96097d7380c0e61fe" > < div class = "ttname" > < a href = "sparse__submatrix_8cc.html#a9b7656b922ea4ec96097d7380c0e61fe" > start< / a > < / div > < div class = "ttdeci" > int64_t start< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "sparse__submatrix_8cc_source.html#l00035" > sparse_submatrix.cc:35< / a > < / div > < / div >
2022-03-04 00:11:33 +01:00
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_solve_arguments_html" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_solve_arguments.html" > operations_research::math_opt::SolveArguments< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "solve__arguments_8h_source.html#l00027" > solve_arguments.h:27< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_solve_parameters_html" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_solve_parameters.html" > operations_research::math_opt::SolveParameters< / a > < / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "parameters_8h_source.html#l00175" > parameters.h:175< / a > < / div > < / div >
< 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_a240b106da863fbff10545e97c2c72007" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a240b106da863fbff10545e97c2c72007" > operations_research::math_opt::SolveResult::has_dual_ray< / a > < / div > < div class = "ttdeci" > bool has_dual_ray() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "solve__result_8h_source.html#l00390" > solve_result.h:390< / 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_a5511ef5b247197964fac748cc4a8de1f" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_solve_result.html#a5511ef5b247197964fac748cc4a8de1f" > operations_research::math_opt::SolveResult::ray_dual_values< / a > < / div > < div class = "ttdeci" > const LinearConstraintMap< double > & ray_dual_values() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "solve__result_8cc_source.html#l00394" > solve_result.cc:394< / 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_aafa2eea97d94bf02b53add568f96a5b7" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_solve_result.html#aafa2eea97d94bf02b53add568f96a5b7" > operations_research::math_opt::SolveResult::ray_reduced_costs< / a > < / div > < div class = "ttdeci" > const VariableMap< double > & ray_reduced_costs() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "solve__result_8cc_source.html#l00399" > solve_result.cc:399< / a > < / div > < / div >
< div class = "ttc" id = "astructoperations__research_1_1math__opt_1_1_solve_result_html_acc1f8f5ed04e9ea770b526fa34d6076c" > < div class = "ttname" > < a href = "structoperations__research_1_1math__opt_1_1_solve_result.html#acc1f8f5ed04e9ea770b526fa34d6076c" > operations_research::math_opt::SolveResult::reduced_costs< / a > < / div > < div class = "ttdeci" > const VariableMap< double > & reduced_costs() const< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "solve__result_8cc_source.html#l00390" > solve_result.cc:390< / 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 = "autil_2status__macros_8h_html" > < div class = "ttname" > < a href = "util_2status__macros_8h.html" > status_macros.h< / a > < / div > < / div >
< div class = "ttc" id = "autil_2status__macros_8h_html_a50de54834da66a6bcb7c9e37902e522b" > < div class = "ttname" > < a href = "util_2status__macros_8h.html#a50de54834da66a6bcb7c9e37902e522b" > OR_ASSIGN_OR_RETURN3< / a > < / div > < div class = "ttdeci" > #define OR_ASSIGN_OR_RETURN3(lhs, rexpr, error_expression)< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "util_2status__macros_8h_source.html#l00032" > util/status_macros.h:32< / a > < / div > < / div >
< div class = "ttc" id = "avariable__and__expressions_8cc_html_a98c17ae8d99a73259ea78de8c4b66254" > < div class = "ttname" > < a href = "variable__and__expressions_8cc.html#a98c17ae8d99a73259ea78de8c4b66254" > constant< / a > < / div > < div class = "ttdeci" > const double constant< / div > < div class = "ttdef" > < b > Definition:< / b > < a href = "variable__and__expressions_8cc_source.html#l00140" > variable_and_expressions.cc:140< / a > < / div > < / div >
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