Solution of Fuzzy Transportation Problem using Improved VAM with Roubast Ranking Technique

Abstract

The present paper attempts to study the solution of Fuzzy transportation problem so as to find the least transportation cost of commodities when supply, demand and cost of the commodities are represented by fuzzy numbers. Panadian[1] and other authors have presented arithmetic operations, alpha level and simple ranking by various other operations. Pandian[1] has obtained some methods for fuzzy transportation problem. This paper proposes a ranking method to find the fuzzy optimal solution of balanced fuzzy transportation problem using trapezoidal fuzzy numbers with improved Vogel's Approximation Method. This algorithm is found to be more efficient than other existing algorithms. The procedure for the solution is illustrated with a numerical example. Further, comparative study among the new algorithm and the other existing algorithms is established by means of sample problem. The advantages of the proposed method over existing methods are also discussed. Moreover, the proposed representation of trapezoidal fuzzy numbers over existing representation are also discussed. MATHEMATICS SUBJECT CLASSIFICATION-90C08, 90C90