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A unified approach to radial, hyperbolic, and directional efficiency measurement in data envelopment analysis

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  • Halická, Margaréta
  • Trnovská, Mária
  • Černý, Aleš

Abstract

The paper analyses properties of a large class of “path-based” Data Envelopment Analysis models through a unifying general scheme. The scheme includes the well-known oriented radial models, the hyperbolic distance function model, the directional distance function models, and even permits their generalisations. The modelling is not constrained to non-negative data and is flexible enough to accommodate variants of standard models over arbitrary data.

Suggested Citation

  • Halická, Margaréta & Trnovská, Mária & Černý, Aleš, 2024. "A unified approach to radial, hyperbolic, and directional efficiency measurement in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 312(1), pages 298-314.
    • Handle: RePEc:eee:ejores:v:312:y:2024:i:1:p:298-314
    DOI: 10.1016/j.ejor.2023.06.039
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    Cited by:

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    2. Mária Trnovská & Margaréta Halická & Jakub Hrdina, 2025. "Path-based DEA models in multiplier form and returns-to-scale analysis," Annals of Operations Research, Springer, vol. 351(2), pages 1705-1741, August.
    3. Halická, Margaréta & Trnovská, Mária & Černý, Aleš, 2025. "On indication, strict monotonicity, and efficiency of projections in a general class of path-based data envelopment analysis models," European Journal of Operational Research, Elsevier, vol. 320(1), pages 175-187.
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    5. Wang, Zixuan & Yang, Min & Liang, Liang & Zhu, Joe, 2026. "A nonparametric least-squares model in network data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 331(2), pages 555-569.

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