integer_programming.cc

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// Copyright 2010-2021 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.
 
// Simple integer programming example
 
#include <iostream>
#include <limits>
 
#include "absl/status/statusor.h"
#include "absl/time/time.h"
#include "ortools/base/init_google.h"
#include "ortools/base/logging.h"
#include "ortools/base/status_builder.h"
#include "ortools/base/status_macros.h"
#include "ortools/math_opt/cpp/math_opt.h"
 
namespace {
 
namespace math_opt = ::operations_research::math_opt;
 
constexpr double kInf = std::numeric_limits<double>::infinity();
 
// Model and solve the problem:
//   max x + 10 * y
//   s.t. x + 7 * y <= 17.5
//                x <= 3.5
//            x in {0.0, 1.0, 2.0, ...,
//            y in {0.0, 1.0, 2.0, ...,
//
absl::Status Main() {
  math_opt::Model model("Integer programming example");
 
  // Variables
  const math_opt::Variable x = model.AddIntegerVariable(0.0, kInf, "x");
  const math_opt::Variable y = model.AddIntegerVariable(0.0, kInf, "y");
 
  // Constraints
  model.AddLinearConstraint(x + 7 * y <= 17.5, "c1");
  model.AddLinearConstraint(x <= 3.5, "c2");
 
  // Objective
  model.Maximize(x + 10 * y);
 
  ASSIGN_OR_RETURN(const math_opt::SolveResult result,
                   Solve(model, math_opt::SolverType::kGscip));
 
  switch (result.termination.reason) {
    case math_opt::TerminationReason::kOptimal:
    case math_opt::TerminationReason::kFeasible:
      std::cout << "Problem solved in " << result.solve_time() << std::endl;
      std::cout << "objective value: " << result.objective_value() << std::endl;
      std::cout << "Variable values: [x=" << result.variable_values().at(x)
                << ", y=" << result.variable_values().at(y) << "]" << std::endl;
      return absl::OkStatus();
    default:
      return util::InternalErrorBuilder()
             << "model failed to solve: " << result.termination;
  }
}
}  // namespace
 
int main(int argc, char** argv) {
  InitGoogle(argv[0], &argc, &argv, true);
  const absl::Status status = Main();
  if (!status.ok()) {
    LOG(QFATAL) << status;
  }
  return 0;
}