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

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

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Article ID: iaor201529214
Volume: 24
Issue: 4
Start Page Number: 423
End Page Number: 440
Publication Date: Oct 2015
Journal: International Journal of Operational Research
Authors: , ,
Keywords: programming: multiple criteria, heuristics
Abstract:

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.

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