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A multi-objective solid transportation problem with discount and two-level fuzzy programming technique

Author

Listed:
  • Srikanta Samanta
  • Shyamal Kumar Mondal
  • Barun Das

Abstract

In this paper, a multi-objective solid transportation problem (MOSTP) is optimised with two relevant criteria: cost and time for transportation. A realistic discounts policy [all unit discount (AUD)] has been proposed for the transportation cost depending on the amount of transportation units. In the proposed model, the shipment cost, supply amount, demand, etc., are in uncertain nature. A two-level fuzzy mathematical programming has been developed on the basis of fuzzy extension principle to solve the proposed model. Finally, the problem is demonstrated by taking a numerical example.

Suggested Citation

  • Srikanta Samanta & Shyamal Kumar Mondal & Barun Das, 2015. "A multi-objective solid transportation problem with discount and two-level fuzzy programming technique," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 24(4), pages 423-440.
    • Handle: RePEc:ids:ijores:v:24:y:2015:i:4:p:423-440
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    Citations

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    Cited by:

    1. P. Senthil Kumar, 2020. "Intuitionistic fuzzy zero point method for solving type-2 intuitionistic fuzzy transportation problem," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 37(3), pages 418-451.
    2. Raj Kumar Bera & Shyamal Kumar Mondal, 2022. "A multi-objective transportation problem with cost dependent credit period policy under Gaussian fuzzy environment," Operational Research, Springer, vol. 22(4), pages 3147-3182, September.
    3. Anjana Kuiri & Barun Das, 2020. "An application of FISM and TOPSIS to a multi-objective multi-item solid transportation problem," OPSEARCH, Springer;Operational Research Society of India, vol. 57(4), pages 1299-1318, December.

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