A New Approach For Optimal Solution Of Transportation Problem
Journal Title: International Journal of Engineering and Science Invention - Year 2018, Vol 7, Issue 10
Abstract
The classical Transportation problem is one of the many well -structured problems in operational research that has been extensively studied in the literature. The transportation problem is one of the subclasses of the linear programming problems. Since finding the initial feasible solution is crucial for all kinds of transportation problem, this is still one of the important research topic in literature. To improve the initial basic feasible solution and to get the solution which is nearer to the optimum solution so many new algorithms are proposed. The ancient methods to find the initial basic feasible solution are North west corner rule , Least cost entry method , Volge’s approximation method[4]. The Vogel’s approximation method is the most important method nearer to the optimum solution. Later on many versions of Vogel’s approximation method are proposed. Among them Balakrishnan’s version of VAM[1], Shore’s application of VAM[2], H.S. Kasana et al[3]. etc,. In the proposed method the initial basic feasible solution is obtained very easily.By using the proposed method the degeneracy can be solved very easily than MODI’s method. This method is not the iterative method. It is easy to apply and computationally takes less time.
Authors and Affiliations
M. Madhavi
Keywords
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