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Note---On Piecewise Reference Technologies

Author

Listed:
  • R. Färe

    (Department of Economics, Southern Illinois University, Carbondale, Illinois 62901)

  • S. Grosskopf

    (Department of Economics, Southern Illinois University, Carbondale, Illinois 62901)

  • D. Njinkeu

    (Department of Economics, Southern Illinois University, Carbondale, Illinois 62901)

Abstract

In this paper we introduce a piecewise parametric production model that may be used as a reference technology for efficiency gauging. We show that other piecewise reference technologies used in efficiency measuring are obtained as special cases of our model.

Suggested Citation

  • R. Färe & S. Grosskopf & D. Njinkeu, 1988. "Note---On Piecewise Reference Technologies," Management Science, INFORMS, vol. 34(12), pages 1507-1511, December.
  • Handle: RePEc:inm:ormnsc:v:34:y:1988:i:12:p:1507-1511
    DOI: 10.1287/mnsc.34.12.1507
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    Citations

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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. 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.
    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. Walter Briec & Laurent Cavaignac & Kristiaan Kerstens, 2020. "Input Efficiency Measures: A Generalized, Encompassing Formulation," Operations Research, INFORMS, vol. 68(6), pages 1836-1849, November.
    5. 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.
    6. 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.
    7. Walter Briec & Kristiaan Kerstens & Philippe Venden Eeckaut, 2004. "Non-convex Technologies and Cost Functions: Definitions, Duality and Nonparametric Tests of Convexity," Journal of Economics, Springer, vol. 81(2), pages 155-192, February.
    8. Pham, Manh D. & Zelenyuk, Valentin, 2019. "Weak disposability in nonparametric production analysis: A new taxonomy of reference technology sets," European Journal of Operational Research, Elsevier, vol. 274(1), pages 186-198.
    9. Almanza, Camilo & Mora Rodríguez, Jhon James, 2018. "Profit efficiency of banks in Colombia with undesirable output: A directional distance function approach," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 12, pages 1-18.
    10. 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.
    11. Sahoo, Biresh K & Khoveyni, Mohammad & Eslami, Robabeh & Chaudhury, Pradipta, 2016. "Returns to scale and most productive scale size in DEA with negative data," European Journal of Operational Research, Elsevier, vol. 255(2), pages 545-558.
    12. Ang, Frederic & Kerstens, Pieter Jan, 2017. "Decomposing the Luenberger–Hicks–Moorsteen Total Factor Productivity indicator: An application to U.S. agriculture," European Journal of Operational Research, Elsevier, vol. 260(1), pages 359-375.
    13. Preciado Arreola, José Luis & Johnson, Andrew L. & Chen, Xun C. & Morita, Hiroshi, 2020. "Estimating stochastic production frontiers: A one-stage multivariate semiparametric Bayesian concave regression method," European Journal of Operational Research, Elsevier, vol. 287(2), pages 699-711.

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