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One Model of a Linear-Fractional Three-Index Transportation Problem

Author

Listed:
  • Rosen Nikolaev

    (University of Economics - Varna)

  • Tanka Milkova

    (University of Economics - Varna)

Abstract

In specialized literature and in practice some methods for production-transportation planning using the models of three-index transportation problem are well-known. Different linear-fractional models for production-transportation planning are applied as well. In the present paper the authors aim to combine elements of the three-index transportation problem and elements of the linear-fractional optimization, thus offering a model of three-index transportation problem with a linear-fractional function which combines the advantages of both methods and gives better opportunities for determining an optimal solution and making the post-optimal analysis.

Suggested Citation

  • Rosen Nikolaev & Tanka Milkova, 2020. "One Model of a Linear-Fractional Three-Index Transportation Problem," Izvestia Journal of the Union of Scientists - Varna. Economic Sciences Series, Union of Scientists - Varna, Economic Sciences Section, vol. 9(1), pages 129-136, April.
    • Handle: RePEc:vra:journl:v:9:y:2020:i:1:p:129-136
    DOI: 10.36997/IJUSV-ESS/2020.9.1.129
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    References listed on IDEAS

    as
    1. A. Charnes & W. W. Cooper, 1962. "Programming with linear fractional functionals," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 9(3‐4), pages 181-186, September.
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    More about this item

    Keywords

    three-index transportation problem; linear-fractional programming;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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