71 lines
2.4 KiB
C#
71 lines
2.4 KiB
C#
// Copyright 2010-2018 Google LLC
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// Licensed under the Apache License, Version 2.0 (the "License");
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// you may not use this file except in compliance with the License.
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// You may obtain a copy of the License at
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//
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// http://www.apache.org/licenses/LICENSE-2.0
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//
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// Unless required by applicable law or agreed to in writing, software
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// distributed under the License is distributed on an "AS IS" BASIS,
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// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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// See the License for the specific language governing permissions and
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// limitations under the License.
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// [START program]
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using System;
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using Google.OrTools.LinearSolver;
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public class LinearProgrammingExample {
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static void Main() {
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// [START solver]
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Solver solver = Solver.CreateSolver("GLOP");
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// [END solver]
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// x and y are continuous non-negative variables.
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// [START variables]
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Variable x = solver.MakeNumVar(0.0, double.PositiveInfinity, "x");
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Variable y = solver.MakeNumVar(0.0, double.PositiveInfinity, "y");
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// [END variables]
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// [START constraints]
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// x + 2y <= 14.
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Constraint c0 = solver.MakeConstraint(double.NegativeInfinity, 14.0);
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c0.SetCoefficient(x, 1);
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c0.SetCoefficient(y, 2);
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// 3x - y >= 0.
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Constraint c1 = solver.MakeConstraint(0.0, double.PositiveInfinity);
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c1.SetCoefficient(x, 3);
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c1.SetCoefficient(y, -1);
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// x - y <= 2.
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Constraint c2 = solver.MakeConstraint(double.NegativeInfinity, 2.0);
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c2.SetCoefficient(x, 1);
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c2.SetCoefficient(y, -1);
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// [END constraints]
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// [START objective]
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// Objective function: 3x + 4y.
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Objective objective = solver.Objective();
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objective.SetCoefficient(x, 3);
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objective.SetCoefficient(y, 4);
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objective.SetMaximization();
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// [END objective]
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// [START solve]
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solver.Solve();
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// [END solve]
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// [START print_solution]
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Console.WriteLine("Number of variables = " + solver.NumVariables());
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Console.WriteLine("Number of constraints = " + solver.NumConstraints());
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// The value of each variable in the solution.
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Console.WriteLine("Solution:");
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Console.WriteLine("x = " + x.SolutionValue());
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Console.WriteLine("y = " + y.SolutionValue());
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// The objective value of the solution.
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Console.WriteLine("Optimal objective value = " + solver.Objective().Value());
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// [END print_solution]
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}
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}
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// [END program]
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