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Linear programming solutions and distance functions under α-returns to scale

Author

Listed:
  • J-P Boussemart

    (University of Lille and LEM-IÉSEG School of Management)

  • W Briec

    (University of Perpignan)

  • H Leleu

    () (CNRS-LEM and IÉSEG School of Management)

Abstract

Abstract This note generalizes analytical relationships among activity variables of Data envelopment analysis models previously derived in a previous article by the authors of this note. We relax the assumption of constant returns to scale by showing that the key results hold under a weaker assumption of homogeneity. We use the notion of α-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

  • 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.
  • Handle: RePEc:pal:jorsoc:v:61:y:2010:i:8:d:10.1057_jors.2009.97
    DOI: 10.1057/jors.2009.97
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    References listed on IDEAS

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    1. Kerstens, Kristiaan & Vanden Eeckaut, Philippe, 1999. "Estimating returns to scale using non-parametric deterministic technologies: A new method based on goodness-of-fit," European Journal of Operational Research, Elsevier, vol. 113(1), pages 206-214, February.
    2. R. Färe & S. Grosskopf & D. Njinkeu, 1988. "Note---On Piecewise Reference Technologies," Management Science, INFORMS, vol. 34(12), pages 1507-1511, December.
    3. 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.
    4. Jean-Philippe Boussemart & Walter Briec & Nicolas Peypoch & Christophe Tavéra, 2009. "α-Returns to scale and multi-output production technologies," Post-Print halshs-00418883, HAL.
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    Cited by:

    1. repec:kap:jproda:v:48:y:2017:i:2:d:10.1007_s11123-017-0512-8 is not listed on IDEAS
    2. 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.
    3. Juan Aparicio & José L. Zofío, 2017. "Revisiting the decomposition of cost efficiency for non-homothetic technologies: a directional distance function approach," Journal of Productivity Analysis, Springer, vol. 48(2), pages 133-146, December.

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