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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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  • Emrouznejad, Ali & Anouze, Abdel Latef & Thanassoulis, Emmanuel, 2010. "A semi-oriented radial measure for measuring the efficiency of decision making units with negative data, using DEA," European Journal of Operational Research, Elsevier, vol. 200(1), pages 297-304, January.
  • Handle: RePEc:eee:ejores:v:200:y:2010:i:1:p:297-304
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    References listed on IDEAS

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    2. Charnes, A. & Cooper, W. W. & Golany, B. & Seiford, L. & Stutz, J., 1985. "Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 91-107.
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    8. Emrouznejad, Ali & Parker, Barnett R. & Tavares, Gabriel, 2008. "Evaluation of research in efficiency and productivity: A survey and analysis of the first 30 years of scholarly literature in DEA," Socio-Economic Planning Sciences, Elsevier, vol. 42(3), pages 151-157, September.
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    2. 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.
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    4. Emrouznejad, Ali & De Witte, Kristof, 2010. "COOPER-framework: A unified process for non-parametric projects," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1573-1586, December.
    5. Sahoo, Biresh K. & Luptacik, Mikulas & Mahlberg, Bernhard, 2011. "Alternative measures of environmental technology structure in DEA: An application," European Journal of Operational Research, Elsevier, vol. 215(3), pages 750-762, December.
    6. Aparicio, Juan & Pastor, Jesus T. & Vidal, Fernando, 2016. "The directional distance function and the translation invariance property," Omega, Elsevier, vol. 58(C), pages 1-3.
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    8. Cheng, Gang & Zervopoulos, Panagiotis & Qian, Zhenhua, 2013. "A variant of radial measure capable of dealing with negative inputs and outputs in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 225(1), pages 100-105.
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    12. Chiu, Yung-Ho & Lee, Jen-Hui & Lu, Ching-Cheng & Shyu, Ming-Kuang & Luo, Zhengying, 2012. "The technology gap and efficiency measure in WEC countries: Application of the hybrid meta frontier model," Energy Policy, Elsevier, vol. 51(C), pages 349-357.
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    16. 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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    20. 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.
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    22. Branda, Martin, 2015. "Diversification-consistent data envelopment analysis based on directional-distance measures," Omega, Elsevier, vol. 52(C), pages 65-76.
    23. 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.
    24. 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.

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