Abstract
Unbalanced transportation problems are particular kind of transportation problems, but an optimal solution is hard to find for unbalanced transportation problems. Still there is a need for minimizing the transportation cost. Unbalanced–TP deals with two different cases, (i) Excess of accessibility (ii) Deficiency in accessibility here in this paper both the cases for getting better optimal solution are discussed. Proposed algorithm is based on dummy rows and dummy columns, by taking the absolute differences (penalty) of Initial & Last cost cells of each row / column in transportation cost-matrix, where the objective function is to find an optimal solution. This method is easy to understand and apply than the other existing methods using Initial Basic Feasible Solution–IBFS. Therefore, the proposed method is very helpful to get optimal solution for unbalanced transportation problems. Keywords: Initial Basic Feasible Solution–IBFS, Unbalanced Transportation Problems, Dummy Rows & Dummy Columns, Optimal Solution. DOI: 10.7176/MTM/10-8-02 Publication date: December 31 st 2020
Highlights
In Operation Research–OR, Transportation Problem–TP is specific kind of sub-division of linear programming–LP problems
The main objective of this study is to reduce the size of iterations and is used to achieve an optimal solution with minimum time estimation, the results are compared with existing
We have promoted an improved algorithm for obtaining better optimal solution of unbalanced transportation problems
Summary
It is commonly significant in the scheme of decision making [1]. Wherein purpose is to lessen the cost of transportation for businesses with number of destination, while sustaining supply limit and demand prerequisite [2]. To get this aim of cost, we have the quantity and locality of already accessible supplies and the amount demanded on top of the participation united accompanied by each ‘sending’. Model’ is some time deceive because it can be used for plant location, machine assignment, product mix problems and many more as well. Whereas the model is really not limited to transportation/distribution only [5]
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