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Network-based method for ranking of efficient units in two-stage DEA models

Author

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  • J S Liu

    (National Taiwan University of Science and Technology, Taipei, Taiwan)

  • W-M Lu

    (National Defense University, Taipei, Taiwan)

Abstract

This study presents a methodology that is able to further discriminate the efficient decision-making units (DMUs) in a two-stage data envelopment analysis (DEA) context. The methodology is an extension of the single-stage network-based ranking method, which utilizes the eigenvector centrality concept in social network analysis to determine the rank of efficient DMUs. The mathematical formulation for the method to work under the two-stage DEA context is laid out and then applied to a real-world problem. In addition to its basic ranking function, the exercise highlights two particular features of the method that are not available in standard DEA: suggesting a benchmark unit for each input/intermediate/output factor, and identifying the strengths of each efficient unit. With the methodology, the value of DEA greatly increases.

Suggested Citation

  • J S Liu & W-M Lu, 2012. "Network-based method for ranking of efficient units in two-stage DEA models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(8), pages 1153-1164, August.
    • Handle: RePEc:pal:jorsoc:v:63:y:2012:i:8:p:1153-1164
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    Cited by:

    1. Wen-Min Lu & Qian Long Kweh & Chung-Wei Wang, 2021. "Integration and application of rough sets and data envelopment analysis for assessments of the investment trusts industry," Annals of Operations Research, Springer, vol. 296(1), pages 163-194, January.
    2. Kaya, Gizem & Aydın, Umut & Ülengin, Burç & Karadayı, Melis Almula & Ülengin, Füsun, 2023. "How do airlines survive? An integrated efficiency analysis on the survival of airlines," Journal of Air Transport Management, Elsevier, vol. 107(C).
    3. Tavakoli, Ibrahim M. & Mostafaee, Amin, 2019. "Free disposal hull efficiency scores of units with network structures," European Journal of Operational Research, Elsevier, vol. 277(3), pages 1027-1036.
    4. Hsiao-Yen Mao & Wen-Min Lu & Hsin-Yen Shieh, 2023. "Exploring the Influence of Environmental Investment on Multinational Enterprises’ Performance from the Sustainability and Marketability Efficiency Perspectives," Sustainability, MDPI, vol. 15(10), pages 1-23, May.
    5. Xie, Qiwei & Xu, Qifan & Chen, Lifan & Jin, Xi & Li, Siqi & Li, Yongjun, 2022. "Efficiency evaluation of China's listed commercial banks based on a multi-period leader-follower model," Omega, Elsevier, vol. 110(C).
    6. Wen‐Min Lu & Qian Long Kweh & Dong‐Sing He & Jui‐Min Shih, 2017. "Performance analysis of the cultural and creative industry: a network‐based approach," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(8), pages 662-676, December.
    7. Kao, Chiang, 2014. "Network data envelopment analysis: A review," European Journal of Operational Research, Elsevier, vol. 239(1), pages 1-16.
    8. Fukuyama, Hirofumi & Matousek, Roman & Tzeremes, Nickolaos G., 2020. "A Nerlovian cost inefficiency two-stage DEA model for modeling banks’ production process: Evidence from the Turkish banking system," Omega, Elsevier, vol. 95(C).
    9. Lu, Wen-Min & Kweh, Qian Long & Nourani, Mohammad & Huang, Feng-Wen, 2016. "Evaluating the efficiency of dual-use technology development programs from the R&D and socio-economic perspectives," Omega, Elsevier, vol. 62(C), pages 82-92.
    10. Ming-Miin Yu & Li-Hsueh Chen, 2020. "A meta-frontier network data envelopment analysis approach for the measurement of technological bias with network production structure," Annals of Operations Research, Springer, vol. 287(1), pages 495-514, April.
    11. Kao, Chiang, 2017. "Efficiency measurement and frontier projection identification for general two-stage systems in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 261(2), pages 679-689.
    12. Xiao Shi & Yongjun Li & Ali Emrouznejad & Jianhui Xie & Liang Liang, 2017. "Estimation of potential gains from bank mergers: A novel two-stage cost efficiency DEA model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(9), pages 1045-1055, September.
    13. Roza Azizi & Reza Kazemi Matin, 2016. "Ranking Two-Stage Production Units in Data Envelopment Analysis," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(01), pages 1-19, February.
    14. Xiong, Xi & Yang, Guo-liang & Guan, Zhong-cheng, 2018. "Assessing R&D efficiency using a two-stage dynamic DEA model: A case study of research institutes in the Chinese Academy of Sciences," Journal of Informetrics, Elsevier, vol. 12(3), pages 784-805.
    15. Hamid Kiaei & Reza Farzipoor Saen & Reza Kazemi Matin, 2023. "Cross-efficiency evaluation and improvement in two-stage network data envelopment analysis," Annals of Operations Research, Springer, vol. 321(1), pages 281-309, February.
    16. Tatiana Bencova & Andrea Bohacikova, 2022. "DEA in Performance Measurement of Two-Stage Processes: Comparative Overview of the Literature," Economic Studies journal, Bulgarian Academy of Sciences - Economic Research Institute, issue 5, pages 111-129.
    17. Seyed Ali Rakhshan, 2017. "Efficiency ranking of decision making units in data envelopment analysis by using TOPSIS-DEA method," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(8), pages 906-918, August.
    18. Ecer, Fatih & Pamucar, Dragan, 2022. "A novel LOPCOW‐DOBI multi‐criteria sustainability performance assessment methodology: An application in developing country banking sector," Omega, Elsevier, vol. 112(C).

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