International Journal in IT & Engineering
  • Year: 2015
  • Volume: 3
  • Issue: 3

Optimal Solution For Fuzzy Transportation Problem Using Stepping-Stone Method

  • Author:
  • B. Srinivas, G. Ganeshan
  • Total Page Count: 14
  • Page Number: 185 to 198

*Dept of Mathematics, ISTS Women's Engg College, Rajahmundry, A.P.

**Professor, Mathematics, Adikavi Nannayya University, Rajahmundry, A.P.

Online published on 27 July, 2015.

Abstract

In this paper a new algorithm namely fuzzy stepping stone method is proposed for finding a fuzzy optimal solution for a fuzzy transportation problem where the transportation cost, supply and demand are trapezoidal fuzzy numbers. The initial solution of for the fuzzy transportation problem we used the fuzzy Vogel's Approximation method and determining the optimality of obtained solution fuzzy stepping stone method is used. The solution procedure is illustrated with numerical example. It can be seen that the proposed algorithm gives a better fuzzy optimal solution to the given fuzzy transportation problem.

Keywords

Fuzzy transportation problem, Trapezoidal fuzzy numbers, Robus't ranking optimal solution, fuzzy stepping stone Method