SHIPMENT OF HOMOGENEOUS GOODS BY CONSIDERING MULTIPLE FLEXIBLE INPUTS AND MULTIPLE OUTPUTS WITH UNKNOWN DEMAND AND SUPPLY
V. K. GEDAM
Department of Statistics, Savitribai Phule Pune University, Pune, Maharashtra, India
MAHAMAD B. PATHAN *
Department of Statistics, Poona College of Arts, Science and Commerce, Pune, Maharashtra, India
*Author to whom correspondence should be addressed.
The transportation problem with multiple incommensurate inputs and outputs for each shipment link is known as Extended Transportation Problem (ETP). Under uncertainty of variables such as demand and availability for each shipment link, the problem is considered as Extended Stochastic Transportation Problem (ESTP). 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 calculated by using common set of weights (CSW) for input and output variables. Multi objective linear programming approach is used to decide CSW. The method to get shipment plan with maximum efficiency is suggested in this paper. Hypothetical example is considered to study the applicability of the proposed approach.
Keywords: Transportation problem, extended stochastic transportation problem, decision making unit, data envelopment analysis, relative efficiency, multi objective linear programming