On a Paradox in Multi-Objective Linear and Fractional Transportation Problem

  • Vishwas Deep Joshi Department of Mathematics, School of Liberal Arts and Sciences, Mody University of Science and Technology, Sikar-332311, India
  • Jagdev Singh Department of Mathematics, Faculty of Science, JECRC University, Jaipur-303905, India
  • Rachana Saini Department of Mathematics, Faculty of Science, JECRC University, Jaipur-303905, India
Keywords: Linear programming, Multi-objective transportation problem, Multi-objective fractional transportation problem, MFL paradox

Abstract

In this paper, a more-for-less (MFL) paradox situation is discussed for a multiobjective transportation problem with linear and fractional objective function. By using the MFL paradox in multi-objective programming, we can transfer more goods from source to destination with less or equal compromise optimal solution. In this approach, it is not necessary that a paradox is present in every objective. If a paradox is found in one of the objectives, then we can use this approach. We compare the paradoxical solution with compromise solution using ranking procedure [1] and show the superiority of the proposed paradoxical approach. For proper explanation of theory two examples are discussed.

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Published
2020-03-26
How to Cite
Deep Joshi, V., Singh, J., & Saini, R. (2020). On a Paradox in Multi-Objective Linear and Fractional Transportation Problem. Science & Technology Asia, 25(1), 157-165. Retrieved from https://ph02.tci-thaijo.org/index.php/SciTechAsia/article/view/240328
Section
Physical sciences