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Research Article Open access CC BY 4.0

Overview of Optimality of New Direct Optimal Methods for the Transportation Problems

Sanaullah Jamali, Muhammad Mujtaba Shaikh, Abdul Sattar Soomro

Asian Research Journal of Mathematics · pp. 1–10 · Published 13 Nov 2019

10.9734/arjom/2019/v15i430160

Abstract

In this paper, we investigate the claimed optimality of a new method – Revised Distribution (RDI) Method – for finding optimal solution of balanced and unbalanced transportation models directly and compare the RDI method with other such methods. A large set of problems have been tested by RDI and other methods, and the results were compared with the Modified distribution (MODI) method – an optimal method. We found that the mostly the results of RDI are not optimal. For reference to prove our observations, we have added three example transportation problems here in this work and compared their results with MODI method to show that the RDI method like the direct exponential approach (DEA) method is not optimal method; but it is just an initial basic feasible solution (IBFS) for transportation problems.

Transportation problem direct method revised distribution MODI method optimality non-optimal solution

Cited by 4

THE MINIMUM DEMAND METHOD – A NEW AND EFFICIENT INITIAL BASIC FEASIBLE SOLUTION METHOD FOR TRANSPORTATION PROBLEMS

Sanaullah Jamali · JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES · 2020

A Literature Review of Distribution Solving Problems by Various Transportation Methods

Nursafwah, Nazaruddin Matondang, Aulia Ishak · Jurnal Sistem Teknik Industri · 2023

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