Title: Solving multi-objective transportation problem with interval goal using utility function approach

Authors: Gurupada Maity; 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 presents the study of transportation problem (TP) with interval goal under multiple objective environment. Most of the multi-objective transportation problems (MOTP) are solved by goal programming (GP) approach. Using GP, the solution of MOTP may not be satisfied all time by the decision maker (DM) when the proposed problem contains interval-valued aspiration level. To overcome this difficulty, here we propose the approaches of revised multi-choice goal programming (RMCGP) and utility function into the MOTP, and then compared the solution between them. Finally, a real-life problem on TP is considered to show the feasibility and usefulness of our paper.

Keywords: transport problem; multi-objective decision making; MODM; goal programming; multi-choice programming; utility function.

DOI: 10.1504/IJOR.2016.080143

International Journal of Operational Research, 2016 Vol.27 No.4, pp.513 - 529

Received: 27 Dec 2013
Accepted: 09 Jun 2014
Published online: 06 Nov 2016 *

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