langs a-z

Task/Knapsack-problem-Unbounded/Mathprog/knapsack-problem-unbounded.math

@@ -0,0 +1,29 @@
+/*Knapsack
+
+  This model finds the integer optimal packing of a knapsack
+
+  Nigel_Galloway
+  January 9th., 2012
+*/
+
+set Items;
+param weight{t in Items};
+param value{t in Items};
+param volume{t in Items};
+
+var take{t in Items}, integer, >=0;
+
+knap_weight : sum{t in Items} take[t] * weight[t] <= 25;
+knap_vol    : sum{t in Items} take[t] * volume[t] <= 0.25;
+
+maximize knap_value: sum{t in Items} take[t] * value[t];
+
+data;
+
+param : Items          : weight   value     volume :=
+         panacea          0.3     3000      0.025
+         ichor            0.2	  1800	    0.015
+         gold		  2.0	  2500      0.002
+;
+
+end;