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Plant capacity notions in a non-parametric framework: a brief review and new graph or non-oriented plant capacities

Author

Listed:
  • Kristiaan Kerstens

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

  • Jafar Sadeghi
  • Ignace van de Woestyne

    (Department of Economics - Hogeschool-Universiteit Brussel)

Abstract

Output-oriented plant capacity in a non-parametric framework is a concept that has been rather widely applied since about twenty-five years. Conversely, input-oriented plant capacity in this framework is a notion of more recent date. In this contribution, we unify the building blocks needed for determining both plant capacity measures and define new graph or non-oriented plant capacity concepts. We empirically illustrate the differences between these various plant capacity notions using a secondary data set. This shows the viability of these new definitions for the applied researcher.

Suggested Citation

  • Kristiaan Kerstens & Jafar Sadeghi & Ignace van de Woestyne, 2020. "Plant capacity notions in a non-parametric framework: a brief review and new graph or non-oriented plant capacities," Post-Print hal-02497012, HAL.
    • Handle: RePEc:hal:journl:hal-02497012
    DOI: 10.1007/s10479-019-03485-8
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    References listed on IDEAS

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    1. Kristiaan Kerstens & Jafar Sadeghi & Ignace Van de Woestyne, 2017. "Plant Capacity and Attainability: Exploration and Remedies," Working Papers 2017-EQM-11, IESEG School of Management.
    2. Giovanni Cesaroni & Kristiaan Kerstens & Ignace Van de Woestyne, 2017. "A New Input-Oriented Plant Capacity Notion: Definition and Empirical Comparison," Pacific Economic Review, Wiley Blackwell, vol. 22(4), pages 720-739, October.
    3. Kerstens, Kristiaan & Sadeghi, Jafar & Van de Woestyne, Ignace, 2019. "Convex and nonconvex input-oriented technical and economic capacity measures: An empirical comparison," European Journal of Operational Research, Elsevier, vol. 276(2), pages 699-709.
    4. Banker, Rajiv D., 1984. "Estimating most productive scale size using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 17(1), pages 35-44, July.
    5. Bruno De Borger & Kristiaan Kerstens, 2000. "The Malmquist Productivity Index and Plant Capacity Utilization," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(2), pages 303-310, June.
    6. Fare, Rolf & Grosskopf, Shawna & Kokkelenberg, Edward C, 1989. "Measuring Plant Capacity, Utilization and Technical Change: A Nonparametric Approach," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 30(3), pages 655-666, August.
    7. Ivaldi, Marc, et al, 1996. "Comparing Fourier and Translog Specifications of Multiproduct Technology: Evidence from an Incomplete Panel of French Farmers," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 649-667, Nov.-Dec..
    8. Cesaroni, Giovanni & Kerstens, Kristiaan & Van de Woestyne, Ignace, 2019. "Short- and long-run plant capacity notions: Definitions and comparison," European Journal of Operational Research, Elsevier, vol. 275(1), pages 387-397.
    9. 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.
    10. R. Russell & William Schworm, 2011. "Properties of inefficiency indexes on 〈input, output〉 space," Journal of Productivity Analysis, Springer, vol. 36(2), pages 143-156, October.
    11. Hasannasab, Maryam & Margaritis, Dimitris & Roshdi, Israfil & Rouse, Paul, 2019. "Hyperbolic efficiency measurement: A conic programming approach," European Journal of Operational Research, Elsevier, vol. 278(2), pages 401-409.
    12. Färe, Rolf & Margaritis, Dimitris & Rouse, Paul & Roshdi, Israfil, 2016. "Estimating the hyperbolic distance function: A directional distance function approach," European Journal of Operational Research, Elsevier, vol. 254(1), pages 312-319.
    13. Fare, Rolf, et al, 1989. "Multilateral Productivity Comparisons When Some Outputs Are Undesirable: A Nonparametric Approach," The Review of Economics and Statistics, MIT Press, vol. 71(1), pages 90-98, February.
    14. Roxani Karagiannis, 2015. "A system-of-equations two-stage DEA approach for explaining capacity utilization and technical efficiency," Annals of Operations Research, Springer, vol. 227(1), pages 25-43, April.
    15. Rajiv D. Banker & Richard C. Morey, 1986. "Efficiency Analysis for Exogenously Fixed Inputs and Outputs," Operations Research, INFORMS, vol. 34(4), pages 513-521, August.
    16. De Borger, Bruno & Kerstens, Kristiaan, 2000. " The Malmquist Productivity Index and Plant Capacity Utilization," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(2), pages 303-310, June.
    17. R. Russell & William Schworm, 2009. "Axiomatic foundations of efficiency measurement on data-generated technologies," Journal of Productivity Analysis, Springer, vol. 31(2), pages 77-86, April.
    18. Yang, Guo-liang & Fukuyama, Hirofumi, 2018. "Measuring the Chinese regional production potential using a generalized capacity utilization indicator," Omega, Elsevier, vol. 76(C), pages 112-127.
    19. Pastor, J. T. & Ruiz, J. L. & Sirvent, I., 1999. "An enhanced DEA Russell graph efficiency measure," European Journal of Operational Research, Elsevier, vol. 115(3), pages 596-607, June.
    20. R. G. Chambers & Y. Chung & R. Färe, 1998. "Profit, Directional Distance Functions, and Nerlovian Efficiency," Journal of Optimization Theory and Applications, Springer, vol. 98(2), pages 351-364, August.
    21. Sueyoshi, Toshiyuki & Sekitani, Kazuyuki, 2007. "Computational strategy for Russell measure in DEA: Second-order cone programming," European Journal of Operational Research, Elsevier, vol. 180(1), pages 459-471, July.
    22. Fare, Rolf & Grosskopf, Shawna & Zaim, Osman, 2002. "Hyperbolic efficiency and return to the dollar," European Journal of Operational Research, Elsevier, vol. 136(3), pages 671-679, February.
    23. A. Charnes & W. W. Cooper, 1962. "Programming with linear fractional functionals," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 9(3‐4), pages 181-186, September.
    24. Li, Qi & Maasoumi, Esfandiar & Racine, Jeffrey S., 2009. "A nonparametric test for equality of distributions with mixed categorical and continuous data," Journal of Econometrics, Elsevier, vol. 148(2), pages 186-200, February.
    25. Yang, Guo-liang & Fukuyama, Hirofumi & Song, Yao-yao, 2019. "Estimating capacity utilization of Chinese manufacturing industries," Socio-Economic Planning Sciences, Elsevier, vol. 67(C), pages 94-110.
    26. Rolf Färe & Shawna Grosskopf, 2000. "Theory and Application of Directional Distance Functions," Journal of Productivity Analysis, Springer, vol. 13(2), pages 93-103, March.
    27. Dupont, Diane P. & Grafton, R. Quentin & Kirkley, James & Squires, Dale, 2002. "Capacity utilization measures and excess capacity in multi-product privatized fisheries," Resource and Energy Economics, Elsevier, vol. 24(3), pages 193-210, June.
    28. Tone, Kaoru, 2001. "A slacks-based measure of efficiency in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 130(3), pages 498-509, May.
    29. Jose Zofio & C. A. Knox Lovell, 2001. "Graph efficiency and productivity measures: an application to US agriculture," Applied Economics, Taylor & Francis Journals, vol. 33(11), pages 1433-1442.
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    Cited by:

    1. Kristiaan Kerstens & Jafar Sadeghi & Ignace Van de Woestyne & Linjia Zhang, 2022. "Malmquist productivity indices and plant capacity utilisation: new proposals and empirical application," Annals of Operations Research, Springer, vol. 315(1), pages 221-250, August.
    2. Kristiaan Kerstens & Jafar Sadeghi & Ignace Woestyne & John Walden, 2024. "Short-run Johansen frontier-based industry models: methodological refinements and empirical illustration on fisheries," Journal of Productivity Analysis, Springer, vol. 61(1), pages 47-62, February.

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    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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