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The Multi-Criteria Fractional Transportation Problem With Fuzzy "Bottleneck" Condition

Author

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  • Alexandra TKACENKO

    (The State University of Moldova)

Abstract

The paper proposes a new approach to the multi-criteria fractional transportation problem with the same bottleneck denominators, additionally criterion for is also time constraint, i.e. the type bottleneck. We propose to study the case when the bottleneck criterion is not deterministic, but of fuzzy type. In this paper I propose an iterative algorithm for solving the model. It generates the crowds efficient model solutions for different types of approaches to the time required for transport from optimistic to pessimistic, using for this purpose the possible ranges of variation thereof. The algorithm was tested on several examples and was found to be quite effective.

Suggested Citation

  • Alexandra TKACENKO, 2016. "The Multi-Criteria Fractional Transportation Problem With Fuzzy "Bottleneck" Condition," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 50(3), pages 117-134.
    • Handle: RePEc:cys:ecocyb:v:50:y:2016:i:3:p:117-134
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    References listed on IDEAS

    as
    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. Y. P. Aneja & K. P. K. Nair, 1979. "Bicriteria Transportation Problem," Management Science, INFORMS, vol. 25(1), pages 73-78, January.
    3. 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.
    4. Abd El-Wahed, Waiel F. & Lee, Sang M., 2006. "Interactive fuzzy goal programming for multi-objective transportation problems," Omega, Elsevier, vol. 34(2), pages 158-166, April.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Fuzzy programming; fractional multi-criteria transportation model; “bottleneck” criterion; efficient solution; coefficient of optimism.;
    All these keywords.

    JEL classification:

    • C29 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Other
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General

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