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Linear Programming Solutions and Distance Functions Under a Constant Returns to Scale Technology

Author

Listed:
  • J.Ph. Boussemart

    () (UMR CNRS 8179 - Université de Lille, Sciences et Technologies - CNRS - Centre National de la Recherche Scientifique)

  • W. Briec
  • H. Leleu

    () (UMR CNRS 8179 - Université de Lille, Sciences et Technologies - CNRS - Centre National de la Recherche Scientifique)

Abstract

This note generalizes analytical relationships among activity variables of DEA models previously derived by Boussemart, Briec and Leleu (2007). We relax the asumption of constant returns to scale by showing that the key results hold under a weaker asumption of homogeneity. We use the notion of alpha-returns to scale to extend the analysis to strictly increasing and decreasing returns, covering now the whole range of returns to scale for multi-output homogenous technologies.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • J.Ph. Boussemart & W. Briec & H. Leleu, 2007. "Linear Programming Solutions and Distance Functions Under a Constant Returns to Scale Technology," Post-Print hal-00259550, HAL.
  • Handle: RePEc:hal:journl:hal-00259550
    Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00259550
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    References listed on IDEAS

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    1. Jean-Philippe Boussemart & Walter Briec & Kristiaan Kerstens & Jean-Christophe Poutineau, 2003. "Luenberger and Malmquist Productivity Indices: Theoretical Comparisons and Empirical Illustration," Bulletin of Economic Research, Wiley Blackwell, vol. 55(4), pages 391-405, October.
    2. W. Briec, 1997. "A Graph-Type Extension of Farrell Technical Efficiency Measure," Journal of Productivity Analysis, Springer, vol. 8(1), pages 95-110, March.
    3. repec:pal:jorsoc:v:60:y:2009:i:1:d:10.1057_palgrave.jors.2602519 is not listed on IDEAS
    4. Boussemart, Jean-Philippe & Briec, Walter & Peypoch, Nicolas & Tavéra, Christophe, 2009. "[alpha]-Returns to scale and multi-output production technologies," European Journal of Operational Research, Elsevier, vol. 197(1), pages 332-339, August.
    5. J-P Boussemart & W Briec & H Leleu, 2009. "Linear programming solutions and distance functions under a constant returns to scale technology," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 72-78, January.
    6. 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.
    7. 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.
    8. Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August.
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    1. repec:pal:jorsoc:v:61:y:2010:i:8:d:10.1057_jors.2009.97 is not listed on IDEAS
    2. J-P Boussemart & W Briec & H Leleu, 2009. "Linear programming solutions and distance functions under a constant returns to scale technology," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 72-78, January.
    3. Leleu, Hervé & Moises, James & Valdmanis, Vivian, 2012. "Optimal productive size of hospital's intensive care units," International Journal of Production Economics, Elsevier, vol. 136(2), pages 297-305.
    4. Carlos P. Barros & Qi Bin Liang & Nicolas Peypoch, 2014. "Technical Efficiency in the Angolan Banking Sector with the B-convexity Model," South African Journal of Economics, Economic Society of South Africa, vol. 82(3), pages 443-454, September.

    More about this item

    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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