CHP Homework 2

/*********************************************
 * OPL 12.5.1.0 Model
 * Author: BAT4769
 * Creation Date: Dec 5, 2016 at 11:14:35 AM
 *********************************************/

 int n=4; // cargos
 int m=3; // compartments
 int a=2; // aircrafts
 
 range cargos = 1..n;
 range comps = 1..m;
 range acs = 1..a;
 
 float profit[cargos] = [310,380,350,285];
 float weight[cargos] = [19,16,23,13];
 float volume[cargos] = [480,650,580,390];
 
 float weight_cap[acs][comps] = [[5,6,8],[10,16,8]];
 float volume_cap[acs][comps] = [[6800,8700,5300],[6800,8700,5300]];
 
 // variables 
 dvar float+ x[acs][cargos][comps];
 dvar float+ y[acs];
 
 // objective
 dexpr float obj = sum (h in acs, i in cargos, j in comps) profit[i] * x[h][i][j];
 maximize obj;
 
 //consraints
 subject to{
 	forall(i in cargos)
 	  available_weight:
 	    sum(h in acs, j in comps) x[h][i][j] <= weight[i];
 	forall(h in acs)
 	  {
	 	forall(j in comps)
	 	  weight_capacity:
			sum(i in cargos) x[h][i][j] <= weight_cap[h][j];
	  	    
	 	forall(j in comps)
	 	  volume_capacity:
			sum(i in cargos) x[h][i][j]*volume[i] <= volume_cap[h][j];
		
		forall(j in comps)
	 	  balancing_constraint:
			sum(i in cargos) x[h][i][j]/weight_cap[h][j] == y[h];
	 }				  	    
 }