A multi-objective solid transportation problem with discount and two-level fuzzy programming technique

摘要

In this paper, a multi-objective solid transportation problem (MOSTP) is optimised with two relevant criteria: cost and time for transportation. A realistic discounts policy [all unit discount (AUD)] has been proposed for the transportation cost depending on the amount of transportation units. In the proposed model, the shipment cost, supply amount, demand, etc., are in uncertain nature. A two-level fuzzy mathematical programming has been developed on the basis of fuzzy extension principle to solve the proposed model. Finally, the problem is demonstrated by taking a numerical example.