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Resolving the infeasibility of the super-efficiency DEA based on DDF

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  • Guo-Ya Gan

    (Nanjing Audit University)

  • Hsuan-Shih Lee

    (National Taiwan Ocean University
    Ming Chuan University)

Abstract

Chen et al. Omega 41:621–625, 2013 propose a DEA model which measures the super-efficiency with directional distance function. Their model avoids the infeasibility when the inputs have zero and it also prevents the negative projection. However, their model might be infeasible when there is zero in the outputs. Besides, their model relies on complex predetermined parameters. Recently, Lin and Chen (Lin and Chen Journal of the Operational Research Society 66:1506–1510, 2015) propose a new model which prevents infeasibility and negative projection. However, Lin and Chen’s method introduces a constant which might dominate the input of the target DMU. To overcome the drawbacks of the models proposed in Chen et al. Omega 41:621–625, 2013 and Lin and Chen Journal of the Operational Research Society 66:1506–1510, 2015, we will develop a new DEA model to compute the super-efficiency, which prevents negative projection and the infeasibility when zero data occurs and works in the same way as the N-L model (Ray, Ray Journal of the Operational Research Society 59:788–797, 2008) when no abnormal input occurs.

Suggested Citation

  • Guo-Ya Gan & Hsuan-Shih Lee, 2021. "Resolving the infeasibility of the super-efficiency DEA based on DDF," Annals of Operations Research, Springer, vol. 307(1), pages 139-152, December.
    • Handle: RePEc:spr:annopr:v:307:y:2021:i:1:d:10.1007_s10479-021-04293-9
    DOI: 10.1007/s10479-021-04293-9
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    References listed on IDEAS

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    1. S C Ray, 2008. "The directional distance function and measurement of super-efficiency: an application to airlines data," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(6), pages 788-797, June.
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    3. Hsuan-Shih Lee, 2021. "An integrated model for SBM and Super-SBM DEA models," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 72(5), pages 1174-1182, May.
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    10. Ruiyue Lin & Zhiping Chen, 2015. "Super-efficiency measurement under variable return to scale: an approach based on a new directional distance function," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(9), pages 1506-1510, September.
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    Cited by:

    1. Lee, Hsuan-Shih, 2022. "Integrating SBM model and Super-SBM model: a one-model approach," Omega, Elsevier, vol. 113(C).
    2. Mostafa Davtalab-Olyaie & Hadis Mahmudi-Baram & Masoud Asgharian, 2023. "Measuring individual efficiency and unit influence in centrally managed systems," Annals of Operations Research, Springer, vol. 321(1), pages 139-164, February.

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