A Comparative Study of Optimization Methods for Fuzzy Transportation Problems
نویسنده
چکیده
Solution of a fuzzy transportation problem determines the transportation schedule that minimizes the total fuzzy transportation cost while satisfying the availability and requirement limits. A number of methods have been devised to solve a fuzzy transportation problem, but the solution obtained by some methods is not optimal. Obviously, the method which gives the optimal solution should be preferred and used in practice. This work is intended to compare the performance of different methods available for solving a a fuzzy transportation problem and to find out the most appropriate one. For this purpose, a number of fuzzy transportation problems have been solved by different methods and the solution obtained has been tested for optimality. It has been found that the solution obtained by Russell;s Approximation Method is optimal for most of the fuzzy transportation problems.Therefore this method may be regarded as the the most appropriate method for solving a fuzzy transportation problem Keywords— Fuzzy Transportation Problem, Trapezoidal Fuzzy Number, Ranking Function, Basic Feasible Solution, Optimal Solution —————————— ——————————
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