Re: [Help-glpk] multiplication of linear forms not allowed

[Andrew Makhorin]

> I have a constraint which looks as follows:

>  concordance{j in X, k in X}: sum{i in N} (w[i] * y[i,j,k]) = c[j,k];

> where w,y and c are defined as follows:

>  param c{j in X, k in X};
>  var w{i in N} >=0, <=1;
>  var y{i in N, j in X, k in X} binary;

> y is a variable which depends on three dimensions, for each element
> of N and each pair of X^2

> glpsol stops on this constraint and says:

>  multiplication of linear forms not allowed

> Does anybody know how to overcome this problem?

var wy{i in N, j in X, k in X}, >= 0;
/* wy[i,j,k] = (if y[i,j,k] = 0 then 0 else w[i]) */

s.t. aaa{i in N, j in X, k in X}: wy[i,j,k] <= y[i,j,k];

s.t. bbb{i in N, j in X, k in X}: wy[i,j,k] <= w[i];

s.t. ccc{i in N, j in X, k in X}: wy[i,j,k] >= w[i] + y[i,j,k] - 1;

concordance{j in X, k in X}: sum{i in N} wy[i,j,k] = c[j,k];