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

Authors: Srikanta Samanta; Shyamal Kumar Mondal; Barun Das

Addresses: Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore – 721102, W.B., India ' Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore – 721102, W.B., India ' Department of Mathematics, Sidho-Kanho-Birsha-University, Purulia – 723101, WB, India

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.

Keywords: multi-objective optimisation; solid transport problem; all unit discounts; AUD; two-level programming; fuzzy extension principle; discount policy; transport costs; shipment costs; supply amount; demand; uncertainty.

DOI: 10.1504/IJOR.2015.072724

International Journal of Operational Research, 2015 Vol.24 No.4, pp.423 - 440

Received: 10 Jul 2013
Accepted: 29 Oct 2013
Published online: 28 Oct 2015 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article