langs a-z

Task/Knapsack-problem-Continuous/Mathprog/knapsack-problem-continuous.math

@@ -0,0 +1,31 @@
+/*Knapsack
+
+  This model finds the optimal packing of a knapsack
+
+  Nigel_Galloway
+  January 10th., 2012
+*/
+set Items;
+param weight{t in Items};
+param value{t in Items};
+
+var take{t in Items}, >=0, <=weight[t];
+
+knap_weight : sum{t in Items} take[t] <= 15;
+
+maximize knap_value: sum{t in Items} take[t] * (value[t]/weight[t]);
+
+data;
+
+param : Items          : weight   value :=
+        beef 	          3.8     36
+        pork 	          5.4	  43	
+        ham 		  3.6	  90
+        greaves           2.4     45
+        flitch 	          4.0     30
+        brawn 	          2.5     56
+        welt 	          3.7     67
+        salami 	          3.0     95
+        sausage           5.9     98
+        ;
+end;