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Note: Ranking DMUs with Infeasible Super-Efficiency DEA Models

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  • Mei Xue

    ()
    (Operations and Information Management Department, The Wharton School, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6366)

  • Patrick T. Harker

    ()
    (Operations and Information Management Department, The Wharton School, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6366)

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    Abstract

    It has been suggested in the data envelopment analysis (DEA) literature that it is impossible to obtain a full ranking of decision-making units (DMUs) when infeasible subproblems arise in the so-called super-efficiency DEA models under different returns to scale (RTS) assumptions other than constant returns to scale (CRS) andconsequently the application of the super-efficiency DEA models under different RTS conditions other than CRS should be restricted. The implications of the infeasibility in super-efficiency DEA models with respect to the efficiency ranking of the DMUs is explored. Based on the analysis, we show that it is still possible to obtain the full ranking of the entire observation set when infeasibilities arise in super-efficiency DEA models.

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    File URL: http://dx.doi.org/10.1287/mnsc.48.5.705.7805
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    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 48 (2002)
    Issue (Month): 5 (May)
    Pages: 705-710

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    Handle: RePEc:inm:ormnsc:v:48:y:2002:i:5:p:705-710

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    Keywords: DEA; super efficiency; returns to scale; infeasibility;

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    Cited by:
    1. Sergey Anokhin & Joakim Wincent & Erkko Autio, 2011. "Operationalizing opportunities in entrepreneurship research: use of data envelopment analysis," Small Business Economics, Springer, vol. 37(1), pages 39-57, July.
    2. Pastor, Jesus T. & Lovell, C.A. Knox, 2005. "A global Malmquist productivity index," Economics Letters, Elsevier, vol. 88(2), pages 266-271, August.
    3. Kankana Mukherjee & Subhash C. Ray, 2005. "Technical Efficiency And Its Dynamics In Indian Manufacturing: An Inter State Analysis," Indian Economic Review, Department of Economics, Delhi School of Economics, vol. 40(2), pages 101-125, December.
    4. Pastor, Jesús T. & Asmild, Mette & Lovell, C.A. Knox, 2011. "The biennial Malmquist productivity change index," Socio-Economic Planning Sciences, Elsevier, vol. 45(1), pages 10-15, March.
    5. Carlo Milana & Leopoldo Nascia & Alessandro Zeli, 2013. "Decomposing multifactor productivity in Italy from 1998 to 2004: evidence from large firms and SMEs using DEA," Journal of Productivity Analysis, Springer, vol. 40(1), pages 99-109, August.
    6. Mei Xue & Patrick T. Harker & Gregory R. Heim, 2003. "Incorporating the Dual Customer Roles in e-Service Design," Center for Financial Institutions Working Papers 03-04, Wharton School Center for Financial Institutions, University of Pennsylvania.
    7. Cheng, Gang & Zervopoulos, Panagiotis, 2012. "A proxy approach to dealing with the infeasibility problem in super-efficiency data envelopment analysis," MPRA Paper 42064, University Library of Munich, Germany.
    8. Matthias Staat, 2003. "The efficiency of treatment strategies of general practitioners," The European Journal of Health Economics, Springer, vol. 4(3), pages 232-238, September.
    9. Dong-hyun Oh, 2010. "A global Malmquist-Luenberger productivity index," Journal of Productivity Analysis, Springer, vol. 34(3), pages 183-197, December.
    10. Cheng, Gang & Qian, Zhenhua & Zervopoulos, Panagiotis, 2011. "Overcoming the infeasibility of super-efficiency DEA model: a model with generalized orientation," MPRA Paper 31991, University Library of Munich, Germany.
    11. Nahra, Tammie A. & Mendez, David & Alexander, Jeffrey A., 2009. "Employing super-efficiency analysis as an alternative to DEA: An application in outpatient substance abuse treatment," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1097-1106, August.
    12. Chiu, Yung-Ho & Chen, Yu-Chuan, 2009. "The analysis of Taiwanese bank efficiency: Incorporating both external environment risk and internal risk," Economic Modelling, Elsevier, vol. 26(2), pages 456-463, March.

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