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Measurement of Returns to Scale Using Non-Radial DEA Models

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Author Info

  • Krivonozhko, Vladimir E.

    (National University of Science and Technology «MISiS»)

  • Førsund, Finn R.

    ()
    (Dept. of Economics, University of Oslo)

  • Lychev, Andrey V.

    (National University of Science and Technology «MISiS»)

Abstract

There are some specific features of the non-radial DEA (data envelopment analysis) models which cause some problems under the returns to scale measurement. In the scientific literature on DEA, some methods were suggested to deal with the returns to scale measurement in the non-radial DEA models. These methods are based on using Strong Complementary Slackness Conditions in the optimization theory. However, our investigation and computational experiments show that such methods increase computational complexity significantly and may generate “strange” results. In this paper, we propose and substantiate a direct method for the returns to scale measurement in the non-radial DEA models. Our computational experiments documented that the proposed method works reliably and efficiently on the real-life data sets.

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File URL: https://www.sv.uio.no/econ/english/research/unpublished-works/working-papers/pdf-files/2012/memo-29-2012.pdf
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Bibliographic Info

Paper provided by Oslo University, Department of Economics in its series Memorandum with number 29/2012.

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Length: 21 pages
Date of creation: 07 Nov 2012
Date of revision:
Publication status: Published as Krivonozhko, Vladimir E., Finn R. Førsund and Andrey V. Lychev, 'Measurement of Returns to Scale Using Non-Radial DEA Models' in european journal of operational research, 2014, pages 664-670.
Handle: RePEc:hhs:osloec:2012_029

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Postal: Department of Economics, University of Oslo, P.O Box 1095 Blindern, N-0317 Oslo, Norway
Phone: 22 85 51 27
Fax: 22 85 50 35
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Web page: http://www.oekonomi.uio.no/indexe.html
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Keywords: Data envelopment analysis; Returns to scale; Non-radial models; Efficiency; Strong Complementary Slackness Conditions;

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References

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  1. Finn Førsund & Lennart Hjalmarsson & Vladimir Krivonozhko & Oleg Utkin, 2007. "Calculation of scale elasticities in DEA models: direct and indirect approaches," Journal of Productivity Analysis, Springer, vol. 28(1), pages 45-56, October.
  2. Sueyoshi, Toshiyuki & Sekitani, Kazuyuki, 2009. "An occurrence of multiple projections in DEA-based measurement of technical efficiency: Theoretical comparison among DEA models from desirable properties," European Journal of Operational Research, Elsevier, vol. 196(2), pages 764-794, July.
  3. Sueyoshi, Toshiyuki & Sekitani, Kazuyuki, 2007. "Measurement of returns to scale using a non-radial DEA model: A range-adjusted measure approach," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1918-1946, February.
  4. Krivonozhko, Vladimir & R. Førsund, Finn & V. Lychev, Andrey, 2011. "A Note on Imposing Strong Complementary Slackness Conditions in DEA," Memorandum 17/2010, Oslo University, Department of Economics.
  5. Banker, Rajiv D. & Cooper, William W. & Seiford, Lawrence M. & Thrall, Robert M. & Zhu, Joe, 2004. "Returns to scale in different DEA models," European Journal of Operational Research, Elsevier, vol. 154(2), pages 345-362, April.
  6. Vladimir Krivonozhko & Finn Førsund & Andrey Lychev, 2012. "Returns-to-scale properties in DEA models: the fundamental role of interior points," Journal of Productivity Analysis, Springer, vol. 38(2), pages 121-130, October.
  7. Førsund , Finn R. & Kittelsen , Sverre A. & Krivonozhko , Vladimir E., 2007. "Farrell Revisited: Visualising the DEA Production Frontier," Memorandum 15/2007, Oslo University, Department of Economics.
  8. Banker, Rajiv D. & Thrall, R. M., 1992. "Estimation of returns to scale using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 62(1), pages 74-84, October.
  9. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
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Cited by:
  1. Picazo-Tadeo, Andrés J. & Castillo-Giménez, Juana & Beltrán-Esteve, Mercedes, 2014. "An intertemporal approach to measuring environmental performance with directional distance functions: Greenhouse gas emissions in the European Union," Ecological Economics, Elsevier, vol. 100(C), pages 173-182.

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