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On Some Relations between Several Generalized Convex DEA Models

Author

Listed:
  • Louisa Andriamasy

    (CAEPEM, IAE, Université de Perpignan)

  • Walter Briec

    (CAEPEM, IAE, Université de Perpignan)

  • Stephane Mussard

    (CHROME, Université de Nîmes; LAMETA, Université de Montpellier; GREDI, Universite de Sherbrooke; LISER, Luxembourg)

Abstract

The purpose of this paper is to establish a topological relation between several classes of known generalized convex models extending the approach proposed by Banker, Charnes and Cooper. Using some basic algebraic convex structures proposed by Avriel and Ben-Tal we analyze the Painlevé-Kuratowski limit of the CES-CET and Alpha-returns to scale models. It is shown that their topological limits yield the B-convex and Cobb-Douglas production models. Along this line some semi-lattice production models satisfying an alpha-returns to scale assumption are proposed.

Suggested Citation

  • Louisa Andriamasy & Walter Briec & Stephane Mussard, 2016. "On Some Relations between Several Generalized Convex DEA Models," Cahiers de recherche 16-02, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    • Handle: RePEc:shr:wpaper:16-02
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    File URL: http://gredi.recherche.usherbrooke.ca/wpapers/GREDI-1602.pdf
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    References listed on IDEAS

    as
    1. Podinovski, V. V., 2005. "Selective convexity in DEA models," European Journal of Operational Research, Elsevier, vol. 161(2), pages 552-563, March.
    2. Post, Thierry, 2001. "Transconcave data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 132(2), pages 374-389, July.
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    Cited by:

    1. Ravelojaona, Paola, 2019. "On constant elasticity of substitution – Constant elasticity of transformation Directional Distance Functions," European Journal of Operational Research, Elsevier, vol. 272(2), pages 780-791.
    2. Walter Briec & Laurent Cavaignac & Kristiaan Kerstens, 2020. "Input Efficiency Measures: A Generalized, Encompassing Formulation," Operations Research, INFORMS, vol. 68(6), pages 1836-1849, November.
    3. Briec, Walter & Mussard, Stéphane, 2020. "Improvement of technical efficiency of firm groups," European Journal of Operational Research, Elsevier, vol. 283(3), pages 991-1001.
    4. Walter Briec & Marc Dubois & Stéphane Mussard, 2021. "Technical efficiency in firm games with constant returns to scale and $$\alpha $$ α -returns to scale," Annals of Operations Research, Springer, vol. 304(1), pages 35-62, September.

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    More about this item

    Keywords

    Non-parametric production models; Kuratowski-Painlevé limit; lattice; CES-CET model; generalized convexity; α-returns to scale.;
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