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An extension on super slacks-based measure DEA approach

Author

Listed:
  • Ya Chen

    (Hefei University of Technology)

  • Yongjun Li

    (University of Science and Technology of China)

  • Liang Liang

    (University of Science and Technology of China
    Hefei University of Technology)

  • Huaqing Wu

    (Hefei University of Technology)

Abstract

In order to break the tie of efficient decision-making units, super-efficiency data envelopment analysis is proposed to fully discriminate them. Recently, a slacks-based version of the super slacks-based measure (S-SBM) is developed and a novel two-stage approach is proposed to calculate both super-efficiency score by the S-SBM model and efficiency score by the slacks-based measure model. In this paper, we extend the approach to consider continuity of efficiency scores. We illustrate the discontinuity of efficiency measure, and define a continuous slacks-based measure which is proved continuous and directly calculated. An interesting efficiency zone category is also provided. In addition, this paper investigates the relationship among the super-efficiency measures of the proposed approach and some existing approaches under variable returns to scale.

Suggested Citation

  • Ya Chen & Yongjun Li & Liang Liang & Huaqing Wu, 2019. "An extension on super slacks-based measure DEA approach," Annals of Operations Research, Springer, vol. 278(1), pages 101-121, July.
    • Handle: RePEc:spr:annopr:v:278:y:2019:i:1:d:10.1007_s10479-017-2495-2
    DOI: 10.1007/s10479-017-2495-2
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    References listed on IDEAS

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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. Lin, Shuguang & Shi, Hai-Liu & Wang, Ying-Ming, 2022. "An integrated slacks-based super-efficiency measure in the presence of nonpositive data," Omega, Elsevier, vol. 111(C).
    3. 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.
    4. Vicente J. Bolós & Rafael Benítez & Vicente Coll-Serrano, 2023. "Continuous models combining slacks-based measures of efficiency and super-efficiency," 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(2), pages 363-391, June.

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