// 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. // [START program] // Minimal example to call the GLOP solver. // [START import] #include #include #include "absl/base/log_severity.h" #include "absl/log/globals.h" #include "absl/log/log.h" #include "ortools/base/init_google.h" #include "ortools/init/init.h" #include "ortools/linear_solver/linear_solver.h" // [END import] namespace operations_research { void BasicExample() { LOG(INFO) << "Google OR-Tools version : " << OrToolsVersion::VersionString(); // [START solver] // Create the linear solver with the GLOP backend. std::unique_ptr solver(MPSolver::CreateSolver("GLOP")); if (!solver) { LOG(WARNING) << "Could not create solver GLOP"; return; } // [END solver] // [START variables] // Create the variables x and y. MPVariable* const x = solver->MakeNumVar(0.0, 1, "x"); MPVariable* const y = solver->MakeNumVar(0.0, 2, "y"); LOG(INFO) << "Number of variables = " << solver->NumVariables(); // [END variables] // [START constraints] // Create a linear constraint, x + y <= 2. const double infinity = solver->infinity(); MPConstraint* const ct = solver->MakeRowConstraint(-infinity, 2.0, "ct"); ct->SetCoefficient(x, 1); ct->SetCoefficient(y, 1); LOG(INFO) << "Number of constraints = " << solver->NumConstraints(); // [END constraints] // [START objective] // Create the objective function, 3 * x + y. MPObjective* const objective = solver->MutableObjective(); objective->SetCoefficient(x, 3); objective->SetCoefficient(y, 1); objective->SetMaximization(); // [END objective] // [START solve] LOG(INFO) << "Solving with " << solver->SolverVersion(); const MPSolver::ResultStatus result_status = solver->Solve(); // [END solve] // [START print_solution] // Check that the problem has an optimal solution. LOG(INFO) << "Status: " << result_status; if (result_status != MPSolver::OPTIMAL) { LOG(INFO) << "The problem does not have an optimal solution!"; if (result_status == MPSolver::FEASIBLE) { LOG(INFO) << "A potentially suboptimal solution was found"; } else { LOG(WARNING) << "The solver could not solve the problem."; return; } } LOG(INFO) << "Solution:"; LOG(INFO) << "Objective value = " << objective->Value(); LOG(INFO) << "x = " << x->solution_value(); LOG(INFO) << "y = " << y->solution_value(); // [END print_solution] // [START advanced] LOG(INFO) << "Advanced usage:"; LOG(INFO) << "Problem solved in " << solver->wall_time() << " milliseconds"; LOG(INFO) << "Problem solved in " << solver->iterations() << " iterations"; // [END advanced] } } // namespace operations_research int main(int argc, char* argv[]) { absl::SetStderrThreshold(absl::LogSeverityAtLeast::kInfo); InitGoogle(argv[0], &argc, &argv, true); operations_research::BasicExample(); return EXIT_SUCCESS; } // [END program]