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Optimal value bounds in interval fractional linear programming and revenue efficiency measuring

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  • Amin Mostafaee

    (Islamic Azad University)

  • Milan Hladík

    (Charles University)

Abstract

This paper deals with the fractional linear programming problem in which input data can vary in some given real compact intervals. The aim is to compute the exact range of the optimal value function. A method is provided for the situation in which the feasible set is described by a linear interval system. Moreover, certain dependencies between the coefficients in the nominators and denominators can be involved. Also, we extend this approach for situations in which the same vector appears in different terms in nominators and denominators. The applicability of the approaches developed is illustrated in the context of the analysis of hospital performance.

Suggested Citation

  • Amin Mostafaee & Milan Hladík, 2020. "Optimal value bounds in interval fractional linear programming and revenue efficiency measuring," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(3), pages 963-981, September.
    • Handle: RePEc:spr:cejnor:v:28:y:2020:i:3:d:10.1007_s10100-019-00611-6
    DOI: 10.1007/s10100-019-00611-6
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    References listed on IDEAS

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    1. Mostafaee, A. & Saljooghi, F.H., 2010. "Cost efficiency measures in data envelopment analysis with data uncertainty," European Journal of Operational Research, Elsevier, vol. 202(2), pages 595-603, April.
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    8. Kuosmanen, Timo & Post, Thierry, 2003. "Measuring economic efficiency with incomplete price information," European Journal of Operational Research, Elsevier, vol. 144(2), pages 454-457, January.
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    Cited by:

    1. Milan Hladík, 2023. "Various approaches to multiobjective linear programming problems with interval costs and interval weights," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 31(3), pages 713-731, September.

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