Originally posted by: guvencdik

Hello everybody,

I am trying to embed my mathematical model using concert,cplex libraries with cSharp.

This is my first attemp and i have a couple of problems in understanding the explanations.( should be basic:) sorry for inconvenience)

I have a 3 D decision variable, as far as I understand i can create this with the code below without any problem.

 IIntVar[][][] x = new IIntVar[nb1][][];//creation of i
                for (int i = 0; i < nb2; i++)
                {
                    x[i] = new IIntVar[nb2][];//creation of j
                    for (int j = 0; j < nb3; j++)
                    {
                        x[i][j] = new IIntVar[nb3];//creation of v
                    }
                }// nb1,nb2,nb3 are integer parameters.

I also have a 2-D integer parameter int d[i][j].// let's say it has got cost values from i to j, which is given.

My question is how can i

minimize sum(v,i,j) X[i][j][v]*d[i][j] // X is binary variable.

Code i have (I dont know if it is efficient?)

            for (int i = 0; i < nb1; i++)
                for (int j = 0; j < nb2; j++)
                    for (int v = 0; v < nb3; v++)
                    {
                        x[i][j][v] = model.BoolVar();   //decision variable is binary
                    }

and in a way, here I should manipulate INumExpr/// this part is my trouble

            model.AddMinimize(expr);

Thanks for your help in advance.

Try this:

ILinearNumExpr expr = model.LinearNumExpr();
for (int i = 0; i < nb1; ++i)
  for (int j = 0; j < nb2; ++j)
    for (int v = 0; v < nb3; ++v) {
      x[i][j][v] = model.BoolVar();
      expr.AddTerm(x[i][j][v], d[i][j]);
    }
model.AddMinimize(expr);