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An ingenious approach to optimize a special class of transportation problem in uncertain environment

Author

Listed:
  • Pankaj Kumar Srivastava

    (Jaypee Institute of Information Technology)

  • Dinesh C. S. Bisht

    (Jaypee Institute of Information Technology)

  • Divya Chhibber

    (Jaypee Institute of Information Technology
    IMS Ghaziabad, University Courses Campus)

  • Mangey Ram

    (Graphic Era (Deemed to Be University))

Abstract

The present study brings optimization to a special class of fuzzy transportation problem called fuzzy transshipment problem. The main focus of this study is the solution of transshipment problems in a fuzzy environment. This method preserves the maximum information for the decision-maker and also avoids a redundant step of defuzzification. To deal effectively with uncertain parameters, a new generalized fuzzy Vogel approximation scheme is developed and applied to find a fuzzy initial basic feasible solution of the problem. A new fuzzy modified distribution scheme is also developed to test the optimality of this fuzzy initial basic feasible solution. A variety of cases of transshipment problems have been considered in the study as illustrations. A comparative analysis with other existing methods has been done to validate the proposed approach, and it confirms the utility of the proposed methodology.

Suggested Citation

  • Pankaj Kumar Srivastava & Dinesh C. S. Bisht & Divya Chhibber & Mangey Ram, 2024. "An ingenious approach to optimize a special class of transportation problem in uncertain environment," 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(8), pages 3585-3595, August.
    • Handle: RePEc:spr:ijsaem:v:15:y:2024:i:8:d:10.1007_s13198-022-01770-7
    DOI: 10.1007/s13198-022-01770-7
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    References listed on IDEAS

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    1. Liu, Shiang-Tai & Kao, Chiang, 2004. "Solving fuzzy transportation problems based on extension principle," European Journal of Operational Research, Elsevier, vol. 153(3), pages 661-674, March.
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