A new Approach for Obtaining Optimal Solution of Unbalanced Fuzzy Transportation Problem

Nidhi Joshi; Surjeet Singh Chauhan

doi:10.24297/ijct.v15i6.3977

Authors

Nidhi Joshi PTU, Jalandhar, Research Scholar, College: CGC, Mohali, Punjab
Surjeet Singh Chauhan Department of Applied Science, Chandigarh Group of Colleges, Gharuan, Mohali, Punjab

DOI:

https://doi.org/10.24297/ijct.v15i6.3977

Keywords:

Optimization, Unbalanced Fuzzy transportation problem, Roubast Ranking technique, Trapezoidal fuzzy number, optimal solution, Modified VAM, Total opportunity cost.

Abstract

The present paper attempts to study the unbalanced fuzzy transportation problem so as to minimize the transportation
cost of products when supply, demand and cost of the products are represented by fuzzy numbers. In this paper, authors
use Roubast ranking technique to transform trapezoidal fuzzy numbers to crisp numbers and propose a new algorithm to
find the fuzzy optimal solution of unbalanced fuzzy transportation problem. The proposed algorithm is more efficient than
other existing algorithms like simple VAM and is illustrated via numerical example. Also, a comparison between the results
of the new algorithm and the result of algorithm using simple VAM is provided.

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