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Super-efficiency measurement under variable return to scale: an approach based on a new directional distance function

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  • Ruiyue Lin

    (1] Xi’an Jiaotong University, Shaanxi, P.R. China[2] Wenzhou University, Wenzhou, P.R. China)

  • Zhiping Chen

    (Xi’an Jiaotong University, Shaanxi, P.R. China)

Abstract

A modified super-efficiency model based on the directional distance function (DDF) has recently been developed in order to tackle the infeasibility issue in the two exceptions of the Nerlove–Luenberger (N–L) super-efficiency model under variable return to scale (VRS). However, we find that model does not fully eliminate the infeasibility issue. This paper chooses an appropriate reference bundle in the DDF so that the resulting DDF-based VRS super-efficiency model is always feasible. The proposed new model successfully addresses the infeasibility issue of conventional VRS super-efficiency models and fully eliminates the infeasibility issue in the two exceptions of the VRS N–L super-efficiency model. Additional advantages of the new model include: it is unit-invariant and does not need to predetermine any parameter. Theoretical analyses and numerical examples support the practicality and superiority of our model when compared with other super-efficiency models.

Suggested Citation

  • 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.
  • Handle: RePEc:pal:jorsoc:v:66:y:2015:i:9:p:1506-1510
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    Citations

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    Cited by:

    1. Ruiyue Lin & Zhiping Chen, 2017. "A directional distance based super-efficiency DEA model handling negative data," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(11), pages 1312-1322, November.
    2. Du, Juan & Chen, Yao & Huang, Ying, 2018. "A Modified Malmquist-Luenberger Productivity Index: Assessing Environmental Productivity Performance in China," European Journal of Operational Research, Elsevier, vol. 269(1), pages 171-187.
    3. Xiangyu Hua & Haiping Lv & Xiangrong Jin, 2021. "Research on High-Quality Development Efficiency and Total Factor Productivity of Regional Economies in China," Sustainability, MDPI, vol. 13(15), pages 1-22, July.
    4. 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.
    5. Subhadip Sarkar, 2023. "ABC classification using extended R-model, SVM and Lorenz curve," OPSEARCH, Springer;Operational Research Society of India, vol. 60(3), pages 1433-1455, September.
    6. Lin, Ruiyue & Li, Zongxin, 2020. "Directional distance based diversification super-efficiency DEA models for mutual funds," Omega, Elsevier, vol. 97(C).
    7. Lin, Ruiyue & Liu, Yue, 2019. "Super-efficiency based on the directional distance function in the presence of negative data," Omega, Elsevier, vol. 85(C), pages 26-34.
    8. Chih‐Yu Yang & Ching‐Cheng Lu & Yung‐Ho Chiu & Tai‐Yu Lin, 2022. "Analysis of coffee production efficiency and productivity strategy in African and non‐African countries," Agribusiness, John Wiley & Sons, Ltd., vol. 38(4), pages 946-969, October.

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