OPTIMAL SOLUTION OF FUZZY TRANSPORTATION PROBLEMS USING RANKING FUNCTION
Journal: International Journal of Mechanical and Production Engineering Research and Development (IJMPERD ) (Vol.8, No. 4)Publication Date: 2018-08-31
Authors : K. BALASUBRAMANIAN; S. SUBRAMANIAN;
Page : 551-558
Keywords : Triangular Fuzzy Numbers; Fuzzy Transportation Problem & Ranking Technique;
Abstract
In real-world problems, optimization techniques are useful for solving problems like project schedules, assignment problems, and network flow analysis. This paper presents fuzzy transportation problems in which direct fuzzy costs, fuzzy supplies, and fuzzy demands transported quantities are fuzzy in nature. The objective is to minimize the total fuzzy cost under fuzzy decision variables.
Here, we are proposing an alternative method for solving the fuzzy transportation problem, where fuzzy demand and supply all are in the form of triangular fuzzy numbers. Where fuzzy demand and supply all are in the form of triangular fuzzy numbers. This method along with an illustrative numerical example to get the solution to the triangular fuzzy transportation problem having m origins and n destinations is discussed makers.
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