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Convex and nonconvex input-oriented technical and economic capacity measures: An empirical comparison

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  • 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

This contribution has two main objectives. First, it aims to compare empirically input-oriented technical and economic capacity notions. Second, it aims to compare these capacity notions on both convex and nonconvex technologies. After defining these capacity notions, an empirical comparison is performed using a secondary data set containing data of French fruit producers. Anticipating two key empirical conclusions, we find that all these different capacity notions follow different distributions, and also that these distributions almost always differ under convex and nonconvex technologies.

Suggested Citation

  • Kristiaan Kerstens & Jafar Sadeghi & Ignace van de Woestyne, 2019. "Convex and nonconvex input-oriented technical and economic capacity measures: An empirical comparison," Post-Print hal-02108539, HAL.
    • Handle: RePEc:hal:journl:hal-02108539
    DOI: 10.1016/j.ejor.2019.01.014
    Note: View the original document on HAL open archive server: https://hal.science/hal-02108539
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    1. Kerstens, Kristiaan & Sadeghi, Jafar & Toloo, Mehdi & Van de Woestyne, Ignace, 2022. "Procedures for ranking technical and cost efficient units: With a focus on nonconvexity," European Journal of Operational Research, Elsevier, vol. 300(1), pages 269-281.
    2. 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," Annals of Operations Research, Springer, vol. 288(2), pages 837-860, May.
    3. Geraldo Souza & Eliane Gonçalves Gomes & Eliseu Roberto Alves, 2022. "Two-part fractional regression model with conditional FDH responses: an application to Brazilian agriculture," Annals of Operations Research, Springer, vol. 314(2), pages 393-409, July.
    4. Kristiaan Kerstens & Ignace Van de Woestyne, 2021. "Cost functions are nonconvex in the outputs when the technology is nonconvex: convexification is not harmless," Annals of Operations Research, Springer, vol. 305(1), pages 81-106, October.
    5. Carlucci, Fabio & Corcione, Carlo & Mazzocchi, Paolo & Trincone, Barbara, 2021. "The role of logistics in promoting Italian agribusiness: The Belt and Road Initiative case study," Land Use Policy, Elsevier, vol. 108(C).
    6. Quintano, Claudio & Mazzocchi, Paolo & Rocca, Antonella, 2021. "Evaluation of the eco-efficiency of territorial districts with seaport economic activities," Utilities Policy, Elsevier, vol. 71(C).
    7. Zhuo-wan Liu & Tomas Balezentis & Yao-yao Song & Guo-liang Yang, 2019. "Estimating Capacity Utilization of Chinese State Farms," Sustainability, MDPI, vol. 11(18), pages 1-29, September.
    8. Song, Malin & Zhou, Wenzhuo & Upadhyay, Arvind & Shen, Zhiyang, 2023. "Evaluating hospital performance with plant capacity utilization and machine learning," Journal of Business Research, Elsevier, vol. 159(C).
    9. Yuan, Qianqian & Baležentis, Tomas & Shen, Zhiyang & Streimikiene, Dalia, 2021. "Economic and environmental performance of the belt and road countries under convex and nonconvex production technologies," Journal of Asian Economics, Elsevier, vol. 75(C).
    10. Kristiaan KERSTENS & Xiaoqing CHEN, 2022. "Evaluating Horizontal Mergers in Swedish District Courts Using Plant Capacity Concepts: With a Focus on Nonconvexity," Working Papers 2022-EQM-02, IESEG School of Management.
    11. Kerstens, Kristiaan & Shen, Zhiyang, 2021. "Using COVID-19 mortality to select among hospital plant capacity models: An exploratory empirical application to Hubei province," Technological Forecasting and Social Change, Elsevier, vol. 166(C).
    12. Fukuyama, Hirofumi & Song, Yao-yao & Ren, Xian-tong & Yang, Guo-liang, 2022. "Using a novel DEA-based model to investigate capacity utilization of Chinese firms," Omega, Elsevier, vol. 106(C).
    13. Fukuyama, Hirofumi & Liu, Hui-hui & Song, Yao-yao & Yang, Guo-liang, 2021. "Measuring the capacity utilization of the 48 largest iron and steel enterprises in China," European Journal of Operational Research, Elsevier, vol. 288(2), pages 648-665.

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