Add SimpleMipProgram from g3

ortools/linear_solver/samples/SimpleMipProgram.cs

@@ -0,0 +1,75 @@
+// Copyright 2010-2018 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]
+using System;
+using Google.OrTools.LinearSolver;
+
+public class SimpleMipProgram
+{
+  static void Main()
+  {
+    // [START solver]
+    // Create the linear solver with the CBC backend.
+    Solver solver = Solver.CreateSolver("SimpleMipProgram", "CBC_MIXED_INTEGER_PROGRAMMING");
+    // [END solver]
+
+    // [START variables]
+    // x and y are integer non-negative variables.
+    Variable x = solver.MakeIntVar(0.0, double.PositiveInfinity, "x");
+    Variable y = solver.MakeIntVar(0.0, double.PositiveInfinity, "y");
+
+    Console.WriteLine("Number of variables = " + solver.NumVariables());
+    // [END variables]
+
+    // [START constraints]
+    // x + 7 * y <= 17.5.
+    solver.Add(x + 7 * y <= 17.5);
+
+    // x <= 3.5.
+    solver.Add(x <= 3.5);
+
+    Console.WriteLine("Number of constraints = " + solver.NumConstraints());
+    // [END constraints]
+
+    // [START objective]
+    // Maximize x + 10 * y.
+    solver.Maximize(x + 10 * y);
+    // [END objective]
+
+    // [START solve]
+    int resultStatus = solver.Solve();
+    // Check that the problem has an optimal solution.
+    if (resultStatus != Solver.OPTIMAL)
+    {
+      Console.WriteLine("The problem does not have an optimal solution!");
+      return;
+    }
+    // [END solve]
+
+    // [START print_solution]
+    Console.WriteLine("Solution:");
+    Console.WriteLine("Objective value = " + solver.Objective().Value());
+    Console.WriteLine("x = " + x.SolutionValue());
+    Console.WriteLine("y = " + y.SolutionValue());
+    // [END print_solution]
+
+    // [START advanced]
+    Console.WriteLine("\nAdvanced usage:");
+    Console.WriteLine("Problem solved in " + solver.WallTime() + " milliseconds");
+    Console.WriteLine("Problem solved in " + solver.Iterations() + " iterations");
+    Console.WriteLine("Problem solved in " + solver.Nodes() + " branch-and-bound nodes");
+    // [END advanced]
+  }
+}
+// [END program]