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An Algorithm to Solve Fuzzy Trapezoidal Transshipment Problem
International Journal of Systems Science and Applied Mathematics
Volume 1, Issue 4, November 2016, Pages: 58-62
Received: Sep. 15, 2016; Accepted: Oct. 10, 2016; Published: Nov. 9, 2016
Authors
P. Gayathri, Department of Mathematics, A.V.C.College (Autonomous), Mannampandal, Mayiladuthurai
K. R. Subramanian, Department of Computer Applications, Srimati Indira Gandhi College, Trichy, Tamilnadu, India
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Abstract
The fuzzy transportation problem in which available commodity frequently moves from one source to another source or destination before reaching its actual destination is called a fuzzy transshipment problem. In this paper, a new method is proposed to find the fuzzy optimal solution of fuzzy transportation problems with the following transshipment: From a source to any another source, from a destination to another destination, and from a destination to any source. In the proposed method all the parameters are represented by trapezoidal fuzzy numbers. To illustrate the proposed method a fuzzy transportation problem with transshipment is solved. The proposed method is easy to understand and to apply for finding the fuzzy optimal solution of fuzzy transportation problems with transshipment occurring in real life situations.
Keywords
Transportation Problem, Fuzzy Transshipment Problem, Trapezoidal Fuzzy Numbers
P. Gayathri, K. R. Subramanian, An Algorithm to Solve Fuzzy Trapezoidal Transshipment Problem, International Journal of Systems Science and Applied Mathematics. Vol. 1, No. 4, 2016, pp. 58-62. doi: 10.11648/j.ijssam.20160104.14
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