A Robust Ranking Technique to Solve Fuzzy Transportation Problem of Triangular Fuzzy Number

Transportation problems are widely used in supply chain management and logistics to reduce costs.When the costs of unit transportation, demand, and supply are all provided precisely, then efficient algorithms have been presented to solve the transportation problem. In this research, we transform the fuzzy transportation problem into a crisp valued transportation problem by using a ranking method. Here, we first simplify the fuzzy transportation problem using the robust ranking approach to obtain an initial basic feasible solution. Next, we apply the MODI method to obtain the fuzzy optimal solution. Ranking method is an appropriate method in ranking fuzzy numbers which is demonstrated with numerical example.

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Publication Details

Journal
Journal of Informatics and Mathematical Sciences
Published
2024-12-31
DOI
https://doi.org/10.26713/jims.v16i1.2746
Primary Topic
Optimization and Mathematical Programming
Type
article
Field-Weighted Citation Impact
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article

A Robust Ranking Technique to Solve Fuzzy Transportation Problem of Triangular Fuzzy Number

M. Saradha, Veena Yadahalli
Journal of Informatics and Mathematical Sciences
Optimization and Mathematical Programming
article

A Robust Ranking Technique to Solve Fuzzy Transportation Problem of Triangular Fuzzy Number

M. Saradha, Veena Yadahalli
article en

Abstract

Transportation problems are widely used in supply chain management and logistics to reduce costs.When the costs of unit transportation, demand, and supply are all provided precisely, then efficient algorithms have been presented to solve the transportation problem. In this research, we transform the fuzzy transportation problem into a crisp valued transportation problem by using a ranking method. Here, we first simplify the fuzzy transportation problem using the robust ranking approach to obtain an initial basic feasible solution. Next, we apply the MODI method to obtain the fuzzy optimal solution. Ranking method is an appropriate method in ranking fuzzy numbers which is demonstrated with numerical example.

Journal of Informatics and Mathematical SciencesVol. 16(1)
REVA University (IN)
Openalex Percentile: Top 63%
Optimization and Mathematical Programming
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