On a Paradox in Linear Plus Linear Fractional Transportation Problem

Authors

  • Vishwas Deep Joshi
  • Nilama Gupta

DOI:

https://doi.org/10.11113/matematika.v26.n.560

Abstract

A paradoxical situation arises in a linear plus linear fractional transportation problem (LPLFTP), when value of the objective function falls below the optimal value and this lower value is attainable by transporting larger amount of quantity. In this paper, a new heuristic is proposed for finding initial basic feasible solution for LPLFTP and a sufficient condition for the existence of a paradoxical solution is established in LPLFTP. Two numerical examples are proposed for explanation of the algorithms. Keywords: Transportation problem; linear plus linear fractional function; more-forless paradox.

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Published

01-12-2010

Issue

Volume 26 (December 2010)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

On a Paradox in Linear Plus Linear Fractional Transportation Problem. (2010). MATEMATIKA, 26, 167-178. https://doi.org/10.11113/matematika.v26.n.560