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Procedures for ranking technical and cost efficient units: With a focus on nonconvexity

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  • Kristiaan Kerstens

    (LEM - Lille économie management - UMR 9221 - UA - Université d'Artois - UCL - Université catholique de Lille - ULCO - Université du Littoral Côte d'Opale - Université de Lille - CNRS - Centre National de la Recherche Scientifique)

  • Jafar Sadeghi
  • Mehdi Toloo
  • Ignace van de Woestyne

Abstract

This contribution extends the literature on super-efficiency by focusing on ranking cost-efficient observations. To the best of our knowledge, the focus has always been on technical super-efficiency and this focus on ranking cost-efficient observations may well open up a new topic. Furthermore, since the convexity axiom has both an impact on technical and cost efficiency, we pay a particular attention to the effect of nonconvexity on both super-efficiency notions. Apart from a numerical example, we use a secondary data set guaranteeing replication to illustrate these efficiency and super-efficiency concepts. Two empirical conclusions emerge. First, the cost super-efficiency notion ranks differently from the technical super-efficiency concept. Second, both cost and technical super-efficiency notions rank differently under convex and nonconvex technologies.

Suggested Citation

  • Kristiaan Kerstens & Jafar Sadeghi & Mehdi Toloo & Ignace van de Woestyne, 2022. "Procedures for ranking technical and cost efficient units: With a focus on nonconvexity," Post-Print hal-03595989, HAL.
    • Handle: RePEc:hal:journl:hal-03595989
    DOI: 10.1016/j.ejor.2021.10.023
    Note: View the original document on HAL open archive server: https://hal.science/hal-03595989v1
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    Cited by:

    1. Andreas Dellnitz & Andreas Kleine & Madjid Tavana, 2024. "An integrated data envelopment analysis and regression tree method for new product price estimation," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 46(4), pages 1189-1211, December.
    2. Esteve, Miriam & Aparicio, Juan & Rodriguez-Sala, Jesus J. & Zhu, Joe, 2023. "Random Forests and the measurement of super-efficiency in the context of Free Disposal Hull," European Journal of Operational Research, Elsevier, vol. 304(2), pages 729-744.
    3. Magdalena Kapelko & Lidia Ortiz & Juan Aparicio, 2025. "Comparing groups of units through composite indicators in a non-convex approach: corporate social responsibility for the food and beverage manufacturing industry," Annals of Operations Research, Springer, vol. 351(2), pages 1427-1450, August.
    4. Grammatoula Papaioannou & Victor V. Podinovski, 2025. "Free disposal hull models of multicomponent technologies," Annals of Operations Research, Springer, vol. 351(2), pages 1559-1587, August.
    5. Qianying Jin & Kristiaan Kerstens & Ignace Van de Woestyne, 2024. "Convex and nonconvex nonparametric frontier-based classification methods for anomaly detection," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 46(4), pages 1213-1239, December.
    6. An, Qingxian & Tao, Xiangyang & Chen, Xiaohong, 2023. "Nested frontier-based best practice regulation under asymmetric information in a principal–agent framework," European Journal of Operational Research, Elsevier, vol. 306(1), pages 269-285.
    7. Zhou, Wenzhuo & Shen, Zhiyang & Vardanyan, Michael & Song, Malin, 2025. "Assessing energy transition using exponential production technology under different convexity assumptions," Energy Economics, Elsevier, vol. 146(C).
    8. Fatemeh Ghandi & Mostafa Davtalab-Olyaie & Masoud Asgharian & Mehmet A. Begen & Abbas Saadatmandi, 2025. "Pareto-optimal peer evaluation in context-dependent DEA," Operational Research, Springer, vol. 25(1), pages 1-40, March.

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