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Linear programming solutions and distance functions under a constant returns to scale technology

Author

Listed:
  • Jean-Philippe Boussemart

    (University of Lille 3, LEM-CNRS (UMR 8179), IESEG School of Management)

  • Walter Briec

    (LAMPS, University of Perpignan, IAE)

  • Hervé Leleu

    (LEM-CNRS (UMR 8179), IESEG School of Management)

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.

Suggested Citation

  • Jean-Philippe Boussemart & Walter Briec & Hervé Leleu, 2008. "Linear programming solutions and distance functions under a constant returns to scale technology," Working Papers 2008-ECO-06, IESEG School of Management.
    • Handle: RePEc:ies:wpaper:e200806
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. W. Briec, 1997. "A Graph-Type Extension of Farrell Technical Efficiency Measure," Journal of Productivity Analysis, Springer, vol. 8(1), pages 95-110, March.
    5. 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.
    6. R. G. Chambers & Y. Chung & R. Färe, 1998. "Profit, Directional Distance Functions, and Nerlovian Efficiency," Journal of Optimization Theory and Applications, Springer, vol. 98(2), pages 351-364, August.
    7. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. J-P Boussemart & W Briec & H Leleu, 2010. "Linear programming solutions and distance functions under α-returns to scale," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(8), pages 1297-1301, August.
    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.

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    More about this item

    Keywords

    Data envelopment analysis; Methodology; Production;
    All these keywords.

    JEL classification:

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

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