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The transportation problem under probabilistic and fuzzy uncertainties

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  • Ludmiła Dymowa
  • Marek Dolata

Abstract

The paper presents further development of an approach proposed by Stefan Chanas and Dorota Kuchta [1], [2] for the transportation problem solution in the case of fuzzy coefficients. The direct fuzzy extension of usual simplex method is used to realize a numerical fuzzy optimization algorithm with fuzzy constraints. It must be emphasized that the fuzzy numerical method proposed is based on the practical embodiment of the pioneer idea of Stefan Chanas [3], [4] to consider fuzzy values in the probabilistic sense. The problem is formulated in a more general form of the distributor’s benefit maximization.

Suggested Citation

  • Ludmiła Dymowa & Marek Dolata, 2003. "The transportation problem under probabilistic and fuzzy uncertainties," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 13(4), pages 23-31.
    • Handle: RePEc:wut:journl:v:4:y:2003:p:2
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    References listed on IDEAS

    as
    1. Heinz Isermann, 1979. "The enumeration of all efficient solutions for a linear multiple‐objective transportation problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 26(1), pages 123-139, March.
    2. Das, S. K. & Goswami, A. & Alam, S. S., 1999. "Multiobjective transportation problem with interval cost, source and destination parameters," European Journal of Operational Research, Elsevier, vol. 117(1), pages 100-112, August.
    3. Ringuest, Jeffrey L. & Rinks, Dan B., 1987. "Interactive solutions for the linear multiobjective transportation problem," European Journal of Operational Research, Elsevier, vol. 32(1), pages 96-106, October.
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