Title: Multi-objective fixed-charge transportation problem using rough programming

Authors: Sudipta Midya; Sankar Kumar Roy

Addresses: Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721102, West Bengal, India ' Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721102, West Bengal, India

Abstract: This paper analyses the multi-objective fixed-charge transportation problem (MOFCTP) using rough programming. Due to globalisation of market, the parameters of MOFCTP may not be defined precisely, so the parameters of the MOFCTP are treated as rough intervals. Expected value operator is used to convert rough MOFCTP to deterministic MOFCTP. Fuzzy programming method and linear weighted-sum method are used to obtain Pareto-optimal solution from deterministic MOFCTP. A comparative study is made between the obtained solutions extracted from the methods; and thereafter we perform a procedure to analyse the sensitive analysis of the parameters in MOFCTP. Finally, in order to show the applicability of our proposed study, an example on MOFCTP is included in this paper.

Keywords: fixed-charge transportation problem; FCTP; rough programming; fuzzy programming; multi-objective programming; Pareto-optimal solution.

DOI: 10.1504/IJOR.2020.105444

International Journal of Operational Research, 2020 Vol.37 No.3, pp.377 - 395

Received: 25 Oct 2016
Accepted: 06 Apr 2017

Published online: 21 Feb 2020 *

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