// Copyright 2010-2025 Google LLC // Licensed under the Apache License, Version 2.0 (the "License"); // you may not use this file except in compliance with the License. // You may obtain a copy of the License at // // http://www.apache.org/licenses/LICENSE-2.0 // // Unless required by applicable law or agreed to in writing, software // distributed under the License is distributed on an "AS IS" BASIS, // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. // See the License for the specific language governing permissions and // limitations under the License. // Linear programming example that shows how to use the API. #include #include #include #include #include "absl/log/globals.h" #include "absl/log/log.h" #include "absl/strings/match.h" #include "absl/strings/string_view.h" #include "ortools/base/init_google.h" #include "ortools/base/log_severity.h" #include "ortools/linear_solver/linear_solver.h" #include "ortools/linear_solver/linear_solver.pb.h" namespace operations_research { void RunLinearProgrammingExample(const std::string& solver_id) { LOG(INFO) << "---- Linear programming example with " << solver_id << " ----"; std::unique_ptr solver(MPSolver::CreateSolver(solver_id)); if (!solver) { LOG(INFO) << "Unable to create solver : " << solver_id; return; } const double infinity = solver->infinity(); // x1, x2 and x3 are continuous non-negative variables. MPVariable* const x1 = solver->MakeNumVar(0.0, infinity, "x1"); MPVariable* const x2 = solver->MakeNumVar(0.0, infinity, "x2"); MPVariable* const x3 = solver->MakeNumVar(0.0, infinity, "x3"); // Maximize 10 * x1 + 6 * x2 + 4 * x3. MPObjective* const objective = solver->MutableObjective(); objective->SetCoefficient(x1, 10); objective->SetCoefficient(x2, 6); objective->SetCoefficient(x3, 4); objective->SetMaximization(); // x1 + x2 + x3 <= 100. MPConstraint* const c0 = solver->MakeRowConstraint(-infinity, 100.0); c0->SetCoefficient(x1, 1); c0->SetCoefficient(x2, 1); c0->SetCoefficient(x3, 1); // 10 * x1 + 4 * x2 + 5 * x3 <= 600. MPConstraint* const c1 = solver->MakeRowConstraint(-infinity, 600.0); c1->SetCoefficient(x1, 10); c1->SetCoefficient(x2, 4); c1->SetCoefficient(x3, 5); // 2 * x1 + 2 * x2 + 6 * x3 <= 300. MPConstraint* const c2 = solver->MakeRowConstraint(-infinity, 300.0); c2->SetCoefficient(x1, 2); c2->SetCoefficient(x2, 2); c2->SetCoefficient(x3, 6); // TODO(user): Change example to show = and >= constraints. LOG(INFO) << "Number of variables = " << solver->NumVariables(); LOG(INFO) << "Number of constraints = " << solver->NumConstraints(); const MPSolver::ResultStatus result_status = solver->Solve(); // Check that the problem has an optimal solution. if (result_status != MPSolver::OPTIMAL) { LOG(FATAL) << "The problem does not have an optimal solution!"; } LOG(INFO) << "Problem solved in " << solver->wall_time() << " milliseconds"; // The objective value of the solution. LOG(INFO) << "Optimal objective value = " << objective->Value(); // The value of each variable in the solution. LOG(INFO) << "x1 = " << x1->solution_value(); LOG(INFO) << "x2 = " << x2->solution_value(); LOG(INFO) << "x3 = " << x3->solution_value(); LOG(INFO) << "Advanced usage:"; LOG(INFO) << "Problem solved in " << solver->iterations() << " iterations"; LOG(INFO) << "x1: reduced cost = " << x1->reduced_cost(); LOG(INFO) << "x2: reduced cost = " << x2->reduced_cost(); LOG(INFO) << "x3: reduced cost = " << x3->reduced_cost(); const std::vector activities = solver->ComputeConstraintActivities(); LOG(INFO) << "c0: dual value = " << c0->dual_value() << " activity = " << activities[c0->index()]; LOG(INFO) << "c1: dual value = " << c1->dual_value() << " activity = " << activities[c1->index()]; LOG(INFO) << "c2: dual value = " << c2->dual_value() << " activity = " << activities[c2->index()]; } void RunAllExamples() { std::vector supported_problem_types = MPSolverInterfaceFactoryRepository::GetInstance() ->ListAllRegisteredProblemTypes(); for (MPSolver::OptimizationProblemType type : supported_problem_types) { const std::string type_name = MPModelRequest::SolverType_Name( static_cast(type)); if (!absl::StrContains(type_name, "LINEAR_PROGRAMMING")) continue; if (absl::StrContains(type_name, "HIGHS")) continue; RunLinearProgrammingExample(type_name); } } } // namespace operations_research int main(int argc, char** argv) { absl::SetStderrThreshold(absl::LogSeverityAtLeast::kInfo); InitGoogle(argv[0], &argc, &argv, true); operations_research::RunAllExamples(); return EXIT_SUCCESS; }