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Input, output and graph technical efficiency measures on non-convex FDH models with various scaling laws: An integrated approach based upon implicit enumeration algorithms

  • Walter Briec

    ()

  • Kristiaan Kerstens

    ()

In a recent article, Briec, Kerstens and Vanden Eeckaut (2004) develop a series of nonparametric, deterministic non-convex technologies integrating traditional returns to scale assumptions into the non-convex FDH model. They show, among other things, how the traditional technical input efficiency measure can be analytically derived for these technology specifications. In this paper, we develop a similar approach to calculate output and graph measures of technical efficiency and indicate the general advantage of such solution strategy via enumeration. Furthermore, several analytical formulas are established and some algorithms are proposed relating the three measurement orientations to one another.

(This abstract was borrowed from another version of this item.)

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File URL: http://hdl.handle.net/10.1007/BF02579006
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Article provided by Springer & Sociedad de Estadística e Investigación Operativa in its journal Top.

Volume (Year): 14 (2006)
Issue (Month): 1 (June)
Pages: 135-166

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Handle: RePEc:spr:topjnl:v:14:y:2006:i:1:p:135-166
DOI: 10.1007/BF02579006
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  1. Herbert Scarf, 1994. "The Allocation of Resources in the Presence of Indivisibilities," Journal of Economic Perspectives, American Economic Association, vol. 8(4), pages 111-128, Fall.
  2. Tone, Kaoru & Sahoo, Biresh K., 2003. "Scale, indivisibilities and production function in data envelopment analysis," International Journal of Production Economics, Elsevier, vol. 84(2), pages 165-192, May.
  3. Alam, Ila M Semenick & Sickles, Robin C, 2000. "Time Series Analysis of Deregulatory Dynamics and Technical Efficiency: The Case of the U.S. Airline Industry," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(1), pages 203-18, February.
  4. François Mairesse & Philippe Vanden Eeckaut, 2002. "Museum Assessment and FDH Technology: Towards a Global Approach," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 26(4), pages 261-286, November.
  5. repec:cor:louvrp:-571 is not listed on IDEAS
  6. Borger, Bruno De & Ferrier, Gary D. & Kerstens, Kristiaan, 1998. "The choice of a technical efficiency measure on the free disposal hull reference technology: A comparison using US banking data," European Journal of Operational Research, Elsevier, vol. 105(3), pages 427-446, March.
  7. Briec, Walter & Kerstens, Kristiaan & Vyen Eeckaut, Philippe, 2002. "Non-Convex Technologies and Cost Functions: Definitions, Duality and Nonparametric Tests of Convexity," Efficiency Series Papers 2002/03, University of Oviedo, Department of Economics, Oviedo Efficiency Group (OEG).
  8. Drake, Leigh & Simper, R., 2003. "The measurement of English and Welsh police force efficiency: A comparison of distance function models," European Journal of Operational Research, Elsevier, vol. 147(1), pages 165-186, May.
  9. Walter Briec & Kristiaan Kerstens & Hervé Leleu & Philippe Eeckaut, 2000. "Returns to Scale on Nonparametric Deterministic Technologies: Simplifying Goodness-of-Fit Methods Using Operations on Technologies," Journal of Productivity Analysis, Springer, vol. 14(3), pages 267-274, November.
  10. Scarf, Herbert E, 1986. "Neighborhood Systems for Production Sets with Indivisibilities," Econometrica, Econometric Society, vol. 54(3), pages 507-32, May.
  11. Fare, Rolf & Grosskopf, Shawna & Lovell, C A Knox, 1983. " The Structure of Technical Efficiency," Scandinavian Journal of Economics, Wiley Blackwell, vol. 85(2), pages 181-90.
  12. Thore, Sten, 1996. "Economies of Scale in the US Computer Industry: An Empirical Investigation Using Data Envelopment Analysis," Journal of Evolutionary Economics, Springer, vol. 6(2), pages 199-216, May.
  13. Fare, Rolf & Li, Sung Ko, 1998. "Inner and outer approximations of technology: a data envelopment analysis approach," European Journal of Operational Research, Elsevier, vol. 105(3), pages 622-625, March.
  14. Sylvain Bouhnik & Boaz Golany & Ury Passy & Steven Hackman & Dimitra Vlatsa, 2001. "Lower Bound Restrictions on Intensities in Data Envelopment Analysis," Journal of Productivity Analysis, Springer, vol. 16(3), pages 241-261, November.
  15. Walter Briec & Kristiaan Kerstens & Philippe Vanden Eeckaut, 2006. "Non-convex Technologies and Cost Functions: Definitions, Duality and Nonparametric Tests of Convexity (Journal of Economics 81(2):155–192)," Journal of Economics, Springer, vol. 87(3), pages 307-308, 04.
  16. Maria Silva Portela & Pedro Borges & Emmanuel Thanassoulis, 2003. "Finding Closest Targets in Non-Oriented DEA Models: The Case of Convex and Non-Convex Technologies," Journal of Productivity Analysis, Springer, vol. 19(2), pages 251-269, April.
  17. Fare,Rolf & Grosskopf,Shawna & Lovell,C. A. Knox, 1993. "Production Frontiers," Cambridge Books, Cambridge University Press, number 9780521420334, Junio.
  18. 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.
  19. Scarf, Herbert E, 1981. "Production Sets with Indivisibilities-Part I: Generalities," Econometrica, Econometric Society, vol. 49(1), pages 1-32, January.
  20. H. Leleu, 2006. "A linear programming framework for free disposal hull technologies and cost functions: primal and dual models," Post-Print hal-00204497, HAL.
  21. Léopold Simar & Paul Wilson, 2000. "Statistical Inference in Nonparametric Frontier Models: The State of the Art," Journal of Productivity Analysis, Springer, vol. 13(1), pages 49-78, January.
  22. Bauer, Paul W. & Hancock, Diana, 1993. "The efficiency of the Federal Reserve in providing check processing services," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 287-311, April.
  23. Destefanis, Sergio, 2002. "The Verdoorn Law: Some Evidence from Non-parametric Frontier Analysis," MPRA Paper 60954, University Library of Munich, Germany.
  24. KERSTENS, Kristiaan & VANDEN EECKAUT, Philippe, 1997. "Estimating returns to scale using nonparametric deterministic technologies : a new method based on goodness-of-fit," CORE Discussion Papers 1997013, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  25. Fare, Rolf & Grosskopf, Shawna & Zaim, Osman, 2002. "Hyperbolic efficiency and return to the dollar," European Journal of Operational Research, Elsevier, vol. 136(3), pages 671-679, February.
  26. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
  27. Scarf, Herbert E, 1981. "Production Sets with Indivisibilities-Part II: The Case of Two Activities," Econometrica, Econometric Society, vol. 49(2), pages 395-423, March.
  28. Peter Bogetoft, 1996. "DEA on Relaxed Convexity Assumptions," Management Science, INFORMS, vol. 42(3), pages 457-465, March.
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