An Innovative Method for Minimization of Transportation Cost: An Algorithmic Approach

Md. Mizanur Rahman, Dr.Md.Bellel Hossain, Dr.Md. Mosharraf Hossain

Abstract: Determining efficient solutions for large scale transportation problems is an important task in operations research. In this paper a transportation algorithm is applied to determine the minimum cost. The algorithm determines the initial Basic Feasible Solution of Transportation problems to minimize the cost. Numerical example are provided to illustrate the proposed algorithm. It can be seen that the proposed algorithm gives a better solution to the given transportation problem. At first the Decision Making Indicators (DMI) are calculated from the difference of the greatest unit cost and the nearest-to-the-greatest unit cost. The least entry of the DMI along the highest DMI is taken as the basic cell. Finally, loads have been imposed on the original TT corresponding to the basic cells of the DMI. Herein the cost minimizing least entries (CMLE) table called Cost Minimizing Small Table (CMST) is formed. So CPU time will become small. Also it discussed how to satisfying the supply and demand restrictions, minimize the total transportation cost. Keywords: IBFS, TT, DMI, CMST. Title: An Innovative Method for Minimization of Transportation Cost: An Algorithmic Approach Author: Md. Mizanur Rahman, Dr.Md.Bellel Hossain, Dr.Md. Mosharraf Hossain International Journal of Mathematics and Physical Sciences Research ISSN 2348-5736 (Online) Research Publish Journals

Vol. 4, Issue 1, April 2016 – September 2016

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An Innovative Method for Minimization of Transportation Cost: An Algorithmic Approach by Md. Mizanur Rahman, Dr.Md.Bellel Hossain, Dr.Md. Mosharraf Hossain