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Sorting Out Fuzzy Transportation Problems via ECCT and Standard Deviation

Author

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  • Krishna Prabha Sikkannan

    (PSNA College of Engineering, India)

  • Vimala Shanmugavel

    (Mother Teresa Women's University, India)

Abstract

A well-organized arithmetical procedure entitled standard deviation is employed to find the optimum solution in this paper. This technique has been divided into two parts. The first methodology deals with constructing the entire contingency cost table, and the second deals with optimum allocation. In this work, the method of magnitude is used for converting fuzzy numbers into crisp numbers as this method is better than the existing methods. This technique gives a better optimal solution than other methods. A numerical example for the new method is explained, and the authors compared their method with existing methods such as north west corner method, least cost method, and Vogel's approximation method.

Suggested Citation

  • Krishna Prabha Sikkannan & Vimala Shanmugavel, 2021. "Sorting Out Fuzzy Transportation Problems via ECCT and Standard Deviation," International Journal of Operations Research and Information Systems (IJORIS), IGI Global, vol. 12(2), pages 1-14, April.
    • Handle: RePEc:igg:joris0:v:12:y:2021:i:2:p:1-14
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    References listed on IDEAS

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    1. Kirtiwant P Ghadle & Priyanka A Pathade, 2016. "Optimal Solution of Balanced and Unbalanced Fuzzy Transportation Problem Using Hexagonal Fuzzy Numbers," International Journal of Mathematical Research, Conscientia Beam, vol. 5(2), pages 131-137.
    2. Kirtiwant P. Ghadle & Priyanka A. Pathade, 2016. "Optimal Solution of Balanced and Unbalanced Fuzzy Transportation Problem Using Hexagonal Fuzzy Numbers," International Journal of Mathematics Research, Conscientia Beam, vol. 5(2), pages 131-137.
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    Cited by:

    1. Souhail Dhouib, 2021. "Solving the Trapezoidal Fuzzy Transportation Problems via New Heuristic: The Dhouib-Matrix-TP1," International Journal of Operations Research and Information Systems (IJORIS), IGI Global, vol. 12(4), pages 1-16, October.
    2. P. Senthil Kumar, 2024. "An efficient approach for solving type-2 intuitionistic fuzzy solid transportation problems with their equivalent crisp solid transportation problems," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(9), pages 4370-4403, September.

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