// Copyright 2010-2022 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. // Mixed Integer programming example that shows how to use the API. // [START program] // [START import] #include #include "ortools/linear_solver/linear_solver.h" // [END import] namespace operations_research { void SimpleMipProgram() { // [START solver] // Create the mip solver with the SCIP backend. std::unique_ptr solver(MPSolver::CreateSolver("SCIP")); if (!solver) { LOG(WARNING) << "SCIP solver unavailable."; return; } // [END solver] // [START variables] const double infinity = solver->infinity(); // x and y are integer non-negative variables. MPVariable* const x = solver->MakeIntVar(0.0, infinity, "x"); MPVariable* const y = solver->MakeIntVar(0.0, infinity, "y"); LOG(INFO) << "Number of variables = " << solver->NumVariables(); // [END variables] // [START constraints] // x + 7 * y <= 17.5. MPConstraint* const c0 = solver->MakeRowConstraint(-infinity, 17.5, "c0"); c0->SetCoefficient(x, 1); c0->SetCoefficient(y, 7); // x <= 3.5. MPConstraint* const c1 = solver->MakeRowConstraint(-infinity, 3.5, "c1"); c1->SetCoefficient(x, 1); c1->SetCoefficient(y, 0); LOG(INFO) << "Number of constraints = " << solver->NumConstraints(); // [END constraints] // [START objective] // Maximize x + 10 * y. MPObjective* const objective = solver->MutableObjective(); objective->SetCoefficient(x, 1); objective->SetCoefficient(y, 10); objective->SetMaximization(); // [END objective] // [START solve] 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!"; } // [END solve] // [START print_solution] 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) << "\nAdvanced usage:"; LOG(INFO) << "Problem solved in " << solver->wall_time() << " milliseconds"; LOG(INFO) << "Problem solved in " << solver->iterations() << " iterations"; LOG(INFO) << "Problem solved in " << solver->nodes() << " branch-and-bound nodes"; // [END advanced] } } // namespace operations_research int main(int argc, char** argv) { operations_research::SimpleMipProgram(); return EXIT_SUCCESS; } // [END program]