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Title: A note on min-max goal programming approach for solving multi-objective de novo programming problems

Authors: Susanta Banik; Debasish Bhattacharya

Addresses: Department of Mathematics, National Institute of Technology, Agartala, Barjala, Jirania, 799046 Tripura, India ' Department of Mathematics, National Institute of Technology, Agartala, Barjala, Jirania, 799046 Tripura, India

Abstract: Min-max goal programming approach for solving multi-objective de novo programming problems was studied by Nurullah Umarusman in 2013. The present study is a further attempt to examine the approach and present an improved version of the approach. In Umarusman's method, each of the goal constraints is having both positive and negative deviation variables, whereas in the proposed approach only one deviation variable has been used. The method of solution has been illustrated with the numerical examples. The solution obtained by proposed method yields objective values which are better than those obtained by Umarusman for the same set of weights.

Keywords: optimal system design; de novo programming; min-max goal programming; multi-objective optimisation.

DOI: 10.1504/IJOR.2020.104223

International Journal of Operational Research, 2020 Vol.37 No.1, pp.32 - 47

Received: 11 Jul 2016
Accepted: 22 Jan 2017

Published online: 20 Dec 2019 *

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