ISSN: 2455-7749

**
Dinesh C. S. Bisht **
Department of Mathematics, Jaypee Institute of Information Technology, Noida-201304, India.

**
Pankaj Kumar Srivastava **
Department of Mathematics, Jaypee Institute of Information Technology, Noida-201304, India.

DOI https://dx.doi.org/10.33889/IJMEMS.2019.4.5-099

Received on July 20, 2018

;
Accepted on July 21, 2019

**Abstract**

This article puts forward a new one point approach to optimize trapezoidal fuzzy transportation problem. It proposes the method having point wise breakup of the trapezoidal number in such a way, that fuzzy transportation problem is converted into four crisp transportation problems. The method is equipped with minimum of supply and demand approach. In the end, the solutions are combined to construct the optimal solution. Modified distribution is applied on each crisp problem to develop optimal solution. The scheme presented is compared with competitive methods available in literature and it is found to be in good coordination with these. The scheme is equally good to be applied on unbalanced problems. Two numerical problems are considered to test the performance of the proposed approach.

**Keywords-** One point approach, Trapezoidal fuzzy number, Minimum demand supply, Modified distribution, Fuzzy transportation problem.

**Citation**

Bisht, D. C. S., & Srivastava, P. K. (2019). One Point Conventional Model to Optimize Trapezoidal Fuzzy Transportation Problem. *International Journal of Mathematical, Engineering and Management Sciences*, *4*(5), 1251-1263. https://dx.doi.org/10.33889/IJMEMS.2019.4.5-099.

**Conflict of Interest**

Both authors have contributed equally in this work. The authors declare that there is no conflict of interest for this publication.

**Acknowledgements**

The authors extend their appreciation to the anonymous reviewers for their valuable suggestions.

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