MPL Model Library MPL Model Library



Metro Water, Example 8.1-3, Hillier and Lieberman
 
   {  Exmpl_8.1-3_MetroWater.mpl  }

   {  Hillier and Lieberman, Introduction to Operations Research, 7th ed.  }

   {  Chapter 8.1,  Example 3, Transportation, Size 9x20 , Page 362  }


TITLE
   MetroWater;

INDEX   
   river := (Colombo, Sacron, Calorie, Dummy);
   city := (Berdoo_min, Berdoo_extra, LosDevils, SanGo, Hollyglass);

DATA
   M := 999;
   DistCost[river, city] := (16, 16, 13, 22, 17,                  
                             14, 14, 13, 19, 15, 
                             19, 19, 20, 23,  M,
                              M,  0,  M,  0,  0);
   Supply[river] := (50, 60, 50, 50);
   Demand[city] := (30, 20, 70, 30, 60);
   
VARIABLE
   Distribute[river, city] -> dstb;

MODEL
   MIN TotalCost = SUM(river, city: 10000000 * DistCost * Distribute);

SUBJECT TO
   Source[river] : SUM(city: Distribute) = Supply;
   Destination[city] : SUM(river: Distribute) = Demand;

END



Return to MPL Model Library