Originally posted by: sandeepsinghchauhan

Hi

I have total 100 available trucks and my objective is to minimize the number of trucks. I have 100 orders and each order has 50 lb weight. The maximum weight I can put in a truck is 500 only. How can I formulate the capacity constraint that helps me to evaluate the minimum number of trucks. Please help

Hi,

you could use the pack constraint.

using CP;
int m = 100;
int n = 100;

dvar int l[j in 1..m] in 0..500;
dvar int p[i in 1..n] in 1..m;
dvar int nb;

int w[1..n] = [i : 50 | i in 1..n];  

minimize nb;
subject to {
   nb==m-count(l,0);
  pack(l, p, w, nb);
 
}

regards