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

Author

Listed:
  • J-P Boussemart
  • W Briec

    (UPVD - Université de Perpignan Via Domitia)

  • H Leleu

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

Suggested Citation

  • J-P Boussemart & W Briec & H Leleu, 2017. "Linear programming solutions and distance functions under α-returns to scale," Post-Print hal-05623643, HAL.
    • Handle: RePEc:hal:journl:hal-05623643
    DOI: 10.1057/jors.2009.97
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    2. Jean-Philippe Boussemart & Walter Briec & Hervé Leleu & Paola Ravelojaona, 2019. "On estimating optimal α-returns to scale," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 70(1), pages 1-11, January.
    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.
    4. Jean-Philippe Boussemart & Walter Briec & Raluca Parvulescu & Paola Ravelojaona, 2022. "$\Lambda$-Returns to Scale and Individual Minimum Extrapolation Principle," Papers 2212.04724, arXiv.org, revised Dec 2023.
    5. Boussemart, Jean-Philippe & Briec, Walter & Parvulescu, Raluca & Ravelojaona, Paola, 2024. "Characterization of production sets through individual returns-to-scale: A non parametric specification and an illustration with the U.S industries," International Journal of Production Economics, Elsevier, vol. 278(C).
    6. 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.
    7. 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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