Authors : Shalini R.; Saranya R.; Gayathri N.; Divya K.

Volume/Issue : Volume 10 - 2025, Issue 12 - December

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Google Scholar : https://tinyurl.com/y87755t7

Scribd : https://tinyurl.com/4vcehbyb

DOI : https://doi.org/10.38124/ijisrt/25dec1380

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Abstract : Transportation problems are vital in logistics and supply chain management under uncertain conditions. This study investigates fuzzy tetrahedral transportation problems (TFTP) by modeling transportation costs as tetrahedral fuzzy numbers to capture real-world uncertainties. Allocation Table Method (ATM), Russell’s Approximation Method (RAM), and a Heuristic Method are compared using the robust ranking technique. Initial basic feasible solutions are evaluated, and optimality is confirmed using the MODEM algorithm. Results show that RAM consistently produces solutions closest to the optimum, while ATM and the Heuristic Method exhibit greater deviations. According to the study's findings, RAM is the best approach for accurately and economically resolving fuzzy transportation problems.

Keywords : Fuzzy Transportation Problem; Fuzzy Number; Ranking Technique, Initial Basic Feasible Solution, Optimal Solution, Russel’s Approximation, Heuristic Method.

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