Logical Development Of Vogel's Approximation Method (LD-VAM): An Approach To Find Basic Feasible Solution Of Transportation Problem
Utpal Kanti Das , Md. Ashraful Babu, Aminur Rahman Khan, Md. Abu Helal, Dr. Md. Sharif Uddin
Index Terms: Transportation Problem (TP), LD-VAM, VAM, LPP, Penalty, Transportation Cost.
Abstract: The study in this paper is to discuss the limitation of Vogel’s Approximation Method (VAM) and developed an improved algorithm after resolving this limitation for solving transportation problem. Vogel’s Approximation Method (VAM) is the more efficient algorithm to solve the transportation problem but it has some limitations when highest penalty cost appear in two or more row or column. For that case VAM does not give any logical solution. In this paper we stand a logical approach for this problem and developed an algorithm named by “Logical Development of Vogel’s Approximation Method (LD-VAM)” where feasible solution from this method are very close to optimal solution more than VAM.
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