Title: Solving multi-choice multi-objective transportation problem

Authors: S. Acharya; M.P. Biswal

Addresses: Department of Mathematics, Indian Institute of Technology, Kharagpur – 721302, India; Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar, India ' Department of Mathematics, Indian Institute of Technology, Kharagpur – 721302, India

Abstract: A multi-objective transportation problem involving some multi-choice parameters is considered in this paper. Some of the demand parameters of the problem assumed as multi-choice type. Due to the presence of multi-choice parameters and conflicting objective functions can not be solved directly. In order to solve the problem with such type of problem, at first interpolating polynomials are formulated for the multi-choice parameters of demand the constraints. After establishing interpolating polynomials of the multi-choice parameters a multi-objective transportation problem is formulated. The problem is treated as a multi-objective nonlinear programming problem due to involvement of interpolating polynomial. Finally, fuzzy programming is applied to find a compromise solution. The solution procedure is supported by a numerical example.

Keywords: fuzzy programming; multi-objective programming; multi-choice programming; nonlinear programming; multi-objective transport problem; multi-choice transport problem.

DOI: 10.1504/IJMOR.2016.076787

International Journal of Mathematics in Operational Research, 2016 Vol.8 No.4, pp.509 - 527

Received: 26 Apr 2014
Accepted: 01 Oct 2014
Published online: 01 Jun 2016 *

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