Unbalanced Transportation Problem Research Articles

An approximate solution of an unbalanced transportation problem

Transportation problem is an extremely important problem faced by any government, and in most practical situations it is imbalanced in the sense that the total supply is less than the total demand. Moreover, usual transportation method maximises only single objective, the transportation cost which is not always the case in real world situations. Therefore we think of a compromise solution using goal programming technique and is solved with a suitable computer algorithm.

Modified Vogel's approximation method for the unbalanced transportation problem

Shimshak et al. [2] and Goyal [3] describe modifications to Vogel's Approximation Method for obtaining initial solutions to the unbalanced transportation problem. In this paper, we propose a further modification that could result in better initial solutions.

A Note on Solving Unbalanced Transportation Problems

A Note on Solving Unbalanced Transportation Problems

A Note on Solving Unbalanced Transportation Problems: Response

A Note on Solving Unbalanced Transportation Problems: Response

An Improvement to Goyal's Modified VAM for the Unbalanced Transportation Problem

This note points out how Goyal's modification of Vogel's approximation method for the unbalanced transportation problem can be improved by subtracting or adding suitable constants to the rows and columns of the cost matrix. We subtract column minima before applying Goyal's technique, and then subtract row/column minima before the application of VAM.

An Improvement to Goyal's Modified VAM for the Unbalanced Transportation Problem

An Improvement to Goyal's Modified VAM for the Unbalanced Transportation Problem

An Improvement to Goyal's Modified VAM for the Unbalanced Transportation Problem

An Improvement to Goyal's Modified VAM for the Unbalanced Transportation Problem

Comment on Goyal's "Improving Vam for Unbalanced Transportation Problems"

Comment on Goyal's "Improving Vam for Unbalanced Transportation Problems"

Comment on Goyal's “Improving Vam for Unbalanced Transportation Problems”

Comment on Goyal's “Improving Vam for Unbalanced Transportation Problems”

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Improving VAM for Unbalanced Transportation Problems

the computations. Shimshak et at.2 suggested ignoring row or column differences involving a dummy row and column, and applying VAM as usual. It may be pointed out that the method suggested by Shimshak, although ensuring least priority to the allocation of units in the dummy row or column, ignores the penalty cost involving the dummy row or column. In order to exploit the full potential of VAM for obtaining a good initial feasible solution of an unbalanced transportation problem, it is suggested that the cost of transportation to or from a dummy should be assumed equal to the largest unit transportation cost before applying VAM. With this modification, the allocation of units to the dummy row or column is given least priority, and in addition to this, the row or column penalty costs are considered in each iteration. This often results in a lower cost

Improving VAM for Unbalanced Transportation Problems

Improving VAM for Unbalanced Transportation Problems