Development of Vogel Method for Solving a Four Index Transportation Problem

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Wahida Fadel et. al

Abstract

 In this paper we deal with an extension of the Vogel method, which has been shown to be effective in finding an initial solution close to be optimal solution to the two index transportation problem for a four index problem, is denoted by Vogel4: In this work we intended also to compare the performance of Vogel4 with least cost method. The comparison has been found that the solution obtained by Vogel4 method is the closest to the optimal solution and that least cost method lost its effectiveness for a four index problem.

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Author Biography

Wahida Fadel et. al

Wahida Fadel1; Rachid Zitouni2

1Faculty of Exact Sciences and Computer Science, University Mohamed Seddik Ben Yahia, Ouled Aissa City, Box98, Jijel.

1Department of Mathematics and computer science, University Center Abdel hafid Boussouf, Mila, Algeria

2Laboratory of Fundamental and Numerical Mathematics, Faculty of Sciences, University Ferhat Abbas Setif, 19000, Algeria

The Author’s E-mail:  fadel.math@yahoo.fr1, rzitouni@univ.setif.dz2