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An integrated model for SBM and Super-SBM DEA models

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  • Hsuan-Shih Lee

Abstract

Tone proposed a super-efficiency slacks-based measure (SBM) model, known as Super-SBM, which can’t identify the efficiency of the inefficient DMU. However, the super-efficiency model for radial measure can identify both the efficiency for the inefficient DMUs and the super-efficiency for the efficient DMUs with one model. Tran et al. proposed a binary linear programming model that integrates the SBM and Super-SBM. In this paper, we propose a linear programming model that integrates SBM and Super-SBM. With the proposed model, we can identify the efficiency of the inefficient DMUs as the SBM model and the super-efficiency of the efficient DMUs as the Super-SBM model at one stage. Results show that our model is faster than that of Tran et al. Our computation time is about only two-third of that of Tran et al.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:tjorxx:v:72:y:2021:i:5:p:1174-1182
    DOI: 10.1080/01605682.2020.1755900
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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. Wendong Zhu & Dahai Li & Limin Han, 2022. "Spatial–Temporal Evolution and Sustainable Type Division of Fishery Science and Technology Innovation Efficiency in China," Sustainability, MDPI, vol. 14(12), pages 1-19, June.
    3. Razzaq, Asif & Yang, Xiaodong, 2023. "Digital finance and green growth in China: Appraising inclusive digital finance using web crawler technology and big data," Technological Forecasting and Social Change, Elsevier, vol. 188(C).
    4. Carla Henriques & Clara Viseu & António Trigo & Maria Gouveia & Ana Amaro, 2022. "How Efficient Is the Cohesion Policy in Supporting Small and Mid-Sized Enterprises in the Transition to a Low-Carbon Economy?," Sustainability, MDPI, vol. 14(9), pages 1-55, April.
    5. Meng, Conghui & Du, Xiaoyun & Zhu, Mengcheng & Ren, Yitian & Fang, Kai, 2023. "The static and dynamic carbon emission efficiency of transport industry in China," Energy, Elsevier, vol. 274(C).
    6. 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.

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