Unveiling the Efficiency of the TGR Weighted Method in Solving Physical Distribution Problems

In today’s highly competitive world, the distribution of products plays a major role which makes it an important optimization problem related to determining the transportation route to transport a certain amount of products from supply points to demand points with minimum total transportation cost. This paper aims to introduce a new method to find the best and quick initial basic feasible solution for both balanced and unbalanced transportation problems. The proposed method always gives either optimal value or nearest to optimal value which is illustrated with two numerical illustrations i.e. one balanced and one unbalanced transportation problem. Also, the comparison of the results with some existing methods is also discussed.