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Congestion in production correspondences

Author

Listed:
  • Walter Briec

    (CRESEM - Centre de Recherche sur les Sociétés et Environnements en Méditerranées - UPVD - Université de Perpignan Via Domitia, IAE Perpignan - Institut d'Administration des Entreprises - Perpignan - UPVD - Université de Perpignan Via Domitia)

  • Kristiaan Kerstens

    (Department of Economics - IESEG School of Managementg, LEM - Lille économie management - UMR 9221 - UA - Université d'Artois - UCL - Université catholique de Lille - ULCO - Université du Littoral Côte d'Opale - Université de Lille - CNRS - Centre National de la Recherche Scientifique)

  • Ignace Van De Woestyne

Abstract

This contribution aims to detect and measure more severe forms of congestion than the ones that could hitherto be evaluated in axiomatic production theory. To this end, we define a new S-disposal axiom, a kind of limited strong disposability. This S-disposal assumption leads to a duality result between a general input directional distance function and the cost function that is weaker than the ones established in the literature. Finally, we indicate how finite data sets can or cannot be rationalized by a minimal technology compatible with S-disposal, thereby generalizing the nonparametric weak axiom of cost minimization test.

Suggested Citation

  • Walter Briec & Kristiaan Kerstens & Ignace Van De Woestyne, 2016. "Congestion in production correspondences," Post-Print hal-01533536, HAL.
    • Handle: RePEc:hal:journl:hal-01533536
    DOI: 10.1007/s00712-016-0484-6
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    Citations

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    Cited by:

    1. Arnaud Abad & Michell Arias & Paola Ravelojaona, 2023. "Environmental Productivity Assessment: an Illustration with the Ecuadorian Oil Industry," Working Papers hal-03574542, HAL.
    2. Arnaud Abad, 2020. "Environmental Efficiency and Productivity Analysis," Working Papers hal-03032038, HAL.
    3. Frederic Ang & Kristiaan Kerstens & Jafar Sadeghi, 2023. "Energy productivity and greenhouse gas emission intensity in Dutch dairy farms: A Hicks–Moorsteen by‐production approach under non‐convexity and convexity with equivalence results," Journal of Agricultural Economics, Wiley Blackwell, vol. 74(2), pages 492-509, June.
    4. A. Abad & P. Ravelojaona, 2017. "Exponential environmental productivity index and indicators," Journal of Productivity Analysis, Springer, vol. 48(2), pages 147-166, December.
    5. Abad, Arnaud & Briec, Walter, 2019. "On the axiomatic of pollution-generating technologies: Non-parametric production analysis," European Journal of Operational Research, Elsevier, vol. 277(1), pages 377-390.
    6. Kristiaan Kerstens & Jafar Sadeghi & Ignace Van de Woestyne, 2019. "Plant Capacity and Attainability: Exploration and Remedies," Operations Research, INFORMS, vol. 67(4), pages 1135-1149, July.
    7. Qianying Jin & Kristiaan Kerstens & Ignace Van de Woestyne, 2024. "Convex and nonconvex nonparametric frontier-based classification methods for anomaly detection," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 46(4), pages 1213-1239, December.
    8. Arnaud Abad & Paola Ravelojaona, 2021. "Pollution‐adjusted productivity analysis: The use of Malmquist and Luenberger productivity measures," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(3), pages 635-648, April.
    9. Stefano NASINI & Rabia NESSAH, 2021. "Endogenous Learning in Multi-Sector Economies," Working Papers 2021-EQM-08, IESEG School of Management, revised Oct 2023.

    More about this item

    Keywords

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    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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