COMMON SET OF WEIGHTS APPROACH TO SOLVE EXTENDED TRANSPORTATION PROBLEM WITH CHANCE CONSTRAINTS

The extended transportation problem has multiple incommensurate inputs and outputs for each shipment link. Under uncertainty of variables such as demand and availability for each shipment link, the problem is considered as extended transportation problem with chance constraints. To solve such problem we consider each shipment link as a Decision Making Unit (DMU) and the relative efficiency concept is defined for it. The relative efficiency of each DMU is based on common set of weights (CSW). Multi objective linear programming approach is used to decide CSW. Hypothetical example is considered to study the applicability of the proposed approach.