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A semi-oriented radial measure for measuring the efficiency of decision making units with negative data, using DEA

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  • Emrouznejad, Ali
  • Anouze, Abdel Latef
  • Thanassoulis, Emmanuel

Abstract

Data Envelopment Analysis (DEA) is a nonparametric method for measuring the efficiency of a set of decision making units such as firms or public sector agencies, first introduced into the operational research and management science literature by Charnes, Cooper, and Rhodes (CCR) [Charnes, A., Cooper, W.W., Rhodes, E., 1978. Measuring the efficiency of decision making units. European Journal of Operational Research 2, 429-444]. The original DEA models were applicable only to technologies characterized by positive inputs/outputs. In subsequent literature there have been various approaches to enable DEA to deal with negative data. In this paper, we propose a semi-oriented radial measure, which permits the presence of variables which can take both negative and positive values. The model is applied to data on a notional effluent processing system to compare the results with those yielded by two alternative methods for dealing with negative data in DEA: The modified slacks-based model suggested by Sharp et al. [Sharp, J.A., Liu, W.B., Meng, W., 2006. A modified slacks-based measure model for data envelopment analysis with 'natural' negative outputs and inputs. Journal of Operational Research Society 57 (11) 1-6] and the range directional model developed by Portela et al. [Portela, M.C.A.S., Thanassoulis, E., Simpson, G., 2004. A directional distance approach to deal with negative data in DEA: An application to bank branches. Journal of Operational Research Society 55 (10) 1111-1121]. A further example explores the advantages of using the new model.

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Bibliographic Info

Article provided by Elsevier in its journal European Journal of Operational Research.

Volume (Year): 200 (2010)
Issue (Month): 1 (January)
Pages: 297-304

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Handle: RePEc:eee:ejores:v:200:y:2010:i:1:p:297-304

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Web page: http://www.elsevier.com/locate/eor

Related research

Keywords: Data Envelopment Analysis Negative data in DEA Translation-invariant DEA Slack-based model Range directional measure Semi-oriented radial measure;

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Citations

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Cited by:
  1. Antonella Basso & Stefania Funari, 2012. "Constant and variable returns to scale DEA models for socially responsible investment funds," Working Papers 2012_20, Department of Economics, University of Venice "Ca' Foscari".
  2. Basso, Antonella & Funari, Stefania, 2014. "Constant and variable returns to scale DEA models for socially responsible investment funds," European Journal of Operational Research, Elsevier, vol. 235(3), pages 775-783.
  3. Muliaman D. Hadad & Maximilian J. B. Hall & Wimboh Santoso & Karligash Kenjegalieva & Richard Simper, 2009. "A New Approach to Dealing With Negative Numbers in Efficiency Analysis: An Application to the Indonesian Banking Sector," Discussion Paper Series 2009_20, Department of Economics, Loughborough University, revised Dec 2009.
  4. Ghasemi, M.-R. & Ignatius, Joshua & Emrouznejad, Ali, 2014. "A bi-objective weighted model for improving the discrimination power in MCDEA," European Journal of Operational Research, Elsevier, vol. 233(3), pages 640-650.
  5. Lu, Ching-Cheng & Chiu, Yung-Ho & Shyu, Ming-Kuang & Lee, Jen-Hui, 2013. "Measuring CO2 emission efficiency in OECD countries: Application of the Hybrid Efficiency model," Economic Modelling, Elsevier, vol. 32(C), pages 130-135.
  6. Cheng, Gang & Zervopoulos, Panagiotis & Qian, Zhenhua, 2011. "A variant of radial measure capable of dealing with negative inputs and outputs in data envelopment analysis," MPRA Paper 30951, University Library of Munich, Germany.
  7. Muliaman D. Hadad & Maximilian J. B. Hall & Wimboh Santoso & Karligash Kenjegalieva & Richard Simper, 2010. "Productivity Changes and Risk Management in Indonesian Banking: An Application of a New Approach to Constructing Malmquist Indices," Discussion Paper Series 2010_04, Department of Economics, Loughborough University, revised Feb 2010.
  8. Pätäri, Eero & Leivo, Timo & Honkapuro, Samuli, 2012. "Enhancement of equity portfolio performance using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 220(3), pages 786-797.
  9. Muliaman D. Hadad & Maximilian J. B. Hall & Wimboh Santoso & Karligash Kenjegalieva & Richard Simper, 2009. "Productivity Changes in Indonesian Banking: Application of a New Approach to Estimating Malmquist Indices," Discussion Paper Series 2009_13, Department of Economics, Loughborough University, revised Sep 2009.

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