Transportation Model Problem Statement in MPL

• INDEX

• Warehouse = (Dayton, Nashville);

• Customer = (GM, Ford, Chrysler);

• DATA

• WHMaxCapacity[Warehouse] := (500, 500);

• CustRequirement[Customer] := (300, 400, 200);

• TransCost[Warehouse,Customer] := (13, 22, 9, 14, 10, 32);

• DECISION VARIABLES

• VolumeShipped[Warehouse, Customer] ;

• MACROS

• TotalTransCost := SUM(Warehouse,Customer: TransCost * VolumeShipped);

• MODEL

• MIN TotalTransCost

• SUBJECT TO

• Capacity[Warehouse] : SUM(Customer: VolumeShipped) < WHMaxCapacity ;

• Demand[Customer] : SUM(Warehouse: VolumeShipped) > CustRequirement ;

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