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Additive super-efficiency in integer-valued data envelopment analysis

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  • Du, Juan
  • Chen, Chien-Ming
  • Chen, Yao
  • Cook, Wade D.
  • Zhu, Joe

Abstract

Conventional data envelopment analysis (DEA) methods assume that input and output variables are continuous. However, in many real managerial cases, some inputs and/or outputs can only take integer values. Simply rounding the performance targets to the nearest integers can lead to misleading solutions and efficiency evaluation. Addressing this kind of integer-valued data, the current paper proposes models that deal directly with slacks to calculate efficiency and super-efficiency scores when integer values are present. Compared with standard radial models, additive (super-efficiency) models demonstrate higher discrimination power among decision making units, especially for integer-valued data. We use an empirical application in early-stage ventures to illustrate our approach.

Suggested Citation

  • Du, Juan & Chen, Chien-Ming & Chen, Yao & Cook, Wade D. & Zhu, Joe, 2012. "Additive super-efficiency in integer-valued data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 218(1), pages 186-192.
  • Handle: RePEc:eee:ejores:v:218:y:2012:i:1:p:186-192
    DOI: 10.1016/j.ejor.2011.10.023
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    References listed on IDEAS

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    1. Thomas Åstebro & Samir Elhedhli, 2006. "The Effectiveness of Simple Decision Heuristics: Forecasting Commercial Success for Early-Stage Ventures," Management Science, INFORMS, vol. 52(3), pages 395-409, March.
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    10. Kenneth L. Simons & Thomas Åstebro, 2010. "Entrepreneurs Seeking Gains: Profit Motives and Risk Aversion in Inventors’ Commercialization Decisions," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 19(4), pages 863-888, December.
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    Cited by:

    1. Pätäri, Eero & Karell, Ville & Luukka, Pasi & Yeomans, Julian S, 2018. "Comparison of the multicriteria decision-making methods for equity portfolio selection: The U.S. evidence," European Journal of Operational Research, Elsevier, vol. 265(2), pages 655-672.
    2. Chen, Yao & Djamasbi, Soussan & Du, Juan & Lim, Sungmook, 2013. "Integer-valued DEA super-efficiency based on directional distance function with an application of evaluating mood and its impact on performance," International Journal of Production Economics, Elsevier, vol. 146(2), pages 550-556.

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