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