Originally posted by: A.Omidi

hi

i have a problem for write special sets, for constraints 44 & 45 in the attached file.

this sets, consist of some model parameters (r(j), h(j) & p(j) are parameters), and in the constraint 45 in sum expression bounded, have min & max operand.

pls, let me know, how can i write such sets in opl language?

best regards

You can use the colon notation to restrict which elements of a set are picked.

c44: sum(t in T : t >= r[j] && t <= (h[j] - p[j] + 1)) x[j][t] == 1
c45: x[j][t] + sum(s in T : s >= r[i] && s >= (t - p[i] - s[i][j] + 1) && s <= (t + p[j] + s[j][i] -1) && s <= (h[i] - p[i] + 1)) x[i][s] <= 1

Originally posted by: A.Omidi

dear daniel

Thanks for your consideration

In your expressions, how can I define set T from model parameters (r[j], h[j] & p[j])?

Best regards

Don't you know an upper bound on the values in T and can just define T as a range?

If not then you can do

int maxT = max(j in J) maxl(r[j], h[j], p[j]);
range T = 1..maxT;