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

Author

Listed:
  • J.Ph. Boussemart

    (LEM - Lille - Economie et Management - Université de Lille, Sciences et Technologies - CNRS - Centre National de la Recherche Scientifique)

  • W. Briec
  • H. Leleu

    (LEM - Lille - Economie et Management - Université de Lille, Sciences et Technologies - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this paper, we investigate the various relationships among the linear programming solutions of data envelopment analysis (DEA) models under a constant returns to scale technology. We derive the analytical relationships among the efficiency measures and the activity variables for four separate models: the input-based, the output-based, the hyperbolic, and the proportional distance functions. We apply our results in order to derive a test of consistency that can be used in assessing the returns to scale among differing DEA models.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • J.Ph. Boussemart & W. Briec & H. Leleu, 2009. "Linear Programming Solutions and Distance Functions Under a Constant Returns to Scale Technology," Post-Print hal-00211280, HAL.
  • Handle: RePEc:hal:journl:hal-00211280
    DOI: 10.1057/palgrave.jors.2602519
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    Cited by:

    1. 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.
    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. 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.
    4. 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.

    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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