Returms-to-scale Properties in DEA Models: The Fundamental Role of Interior Points
AbstractAttempts can be found in the DEA literature to identify returns to scale at efficient interior points of the production possibility set on the basis of returns to scale at points of the corresponding reference sets. However, an opposite approach is put forward in this paper, advocating that returns-to-scale properties of efficient reference units should be found by identifying first returns to scale of an efficient interior unit that is a radial projection to the frontier of an inefficient unit. Returns-to-scale properties of both the corresponding reference units and units supporting the face in question can then be established.
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Bibliographic InfoPaper provided by Oslo University, Department of Economics in its series Memorandum with number 15/2009.
Length: 22 pages
Date of creation: 04 Aug 2009
Date of revision:
Publication status: Published as Krivonozhko, Vladimir, Finn R. Førsund and Andrey V. Lychev, 'Returms-to-scale Properties in DEA Models: The Fundamental Role of Interior Points' in Journal of productivity analysis, 2012, pages 121-130.
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Postal: Department of Economics, University of Oslo, P.O Box 1095 Blindern, N-0317 Oslo, Norway
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Web page: http://www.oekonomi.uio.no/indexe.html
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Returns to scale; DEA; Interior points; Vertices;
Other versions of this item:
- 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.
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- D20 - Microeconomics - - Production and Organizations - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-09-11 (All new papers)
- NEP-ECM-2009-09-11 (Econometrics)
- NEP-EFF-2009-09-11 (Efficiency & Productivity)
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- Krivonozhko, Vladimir & R. Førsund, Finn & V. Lychev, Andrey, 2011.
"A Note on Imposing Strong Complementary Slackness Conditions in DEA,"
17/2010, Oslo University, Department of Economics.
- Krivonozhko, Vladimir E. & Førsund, Finn R. & Lychev, Andrey V., 2012. "A note on imposing strong complementary slackness conditions in DEA," European Journal of Operational Research, Elsevier, vol. 220(3), pages 716-721.
- Krivonozhko, Vladimir E. & Førsund, Finn R. & Lychev, Andrey V., 2012. "Measurement of Returns to Scale Using Non-Radial DEA Models," Memorandum 29/2012, Oslo University, Department of Economics.
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