International Journal of Mathematics and Statistics Studies (IJMSS)

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The Determination of Paradoxical Pairs in a Linear Transportation Problem

Abstract

The transportation paradox is related to the classical transportation problem. For particular reasons of this problem, an increase in the quantity of goods to be transported may lead to a decrease in the optimal total transportation cost. In this paper, an efficient algorithm for solving a linear programming problem was discussed, and it was concluded that paradox exists. The North-West Corner method was used to obtain the optimal solution using the TORA Statistical Software Package. The method however gives a step by step development of the solution procedure for finding all the paradoxical pair

Keywords: Linear Programming, Paradoxical Range of Flow, Transportation Paradox, Transportation Problem

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Email ID: editor.ijmss@ea-journals.org
Impact Factor: 7.80
Print ISSN: 2053-2229
Online ISSN: 2053-2210
DOI: https://doi.org/10.37745/ijmss.13

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