mip1_cs.cs

/* Copyright 2024, Gurobi Optimization, LLC */

/* This example formulates and solves the following simple MIP model:

     maximize    x +   y + 2 z
     subject to  x + 2 y + 3 z <= 4
                 x +   y       >= 1
                 x, y, z binary
*/

using System;
using Gurobi;

class mip1_cs
{
  static void Main()
  {
    try {

      // Create an empty environment, set options and start
      GRBEnv env = new GRBEnv(true);
      env.Set("LogFile", "mip1.log");
      env.Start();

      // Create empty model
      GRBModel model = new GRBModel(env);

      // Create variables
      GRBVar x = model.AddVar(0.0, 1.0, 0.0, GRB.BINARY, "x");
      GRBVar y = model.AddVar(0.0, 1.0, 0.0, GRB.BINARY, "y");
      GRBVar z = model.AddVar(0.0, 1.0, 0.0, GRB.BINARY, "z");

      // Set objective: maximize x + y + 2 z
      model.SetObjective(x + y + 2 * z, GRB.MAXIMIZE);

      // Add constraint: x + 2 y + 3 z <= 4
      model.AddConstr(x + 2 * y + 3 * z <= 4.0, "c0");

      // Add constraint: x + y >= 1
      model.AddConstr(x + y >= 1.0, "c1");

      // Optimize model
      model.Optimize();

      Console.WriteLine(x.VarName + " " + x.X);
      Console.WriteLine(y.VarName + " " + y.X);
      Console.WriteLine(z.VarName + " " + z.X);

      Console.WriteLine("Obj: " + model.ObjVal);

      // Dispose of model and env
      model.Dispose();
      env.Dispose();

    } catch (GRBException e) {
      Console.WriteLine("Error code: " + e.ErrorCode + ". " + e.Message);
    }
  }
}