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A multiplicative method for estimating the potential gains from two-stage production system mergers

Author

Listed:
  • Jianhui Xie

    (Sun Yat-Sen University)

  • Xiaoxuan Zhu

    (Hefei University of Technology)

  • Liang Liang

    (Hefei University of Technology
    Hefei University of Technology)

Abstract

In this study, a data envelopment analysis-based approach is proposed for estimating and decomposing the potential gains from the horizontal integrations of two-stage production systems. In the first tier, the gains of the potential merger are measured by a composite efficiency index. The potential efficiency gains are then decomposed as the product of coordination efficiency and two divisional potential efficiency gains. In the second tier, the divisional potential efficiency gains are decomposed into scope, size, and learning efficiencies. We develop a multiplicative framework for decomposing potential efficiency gain in mergers of the two-stage production systems, and the coordination efficiency is considered. In the case study of commercial banks in mainland China, we develop an algorithm for estimating and decomposing potential efficiency gain for a two-stage bank production system.

Suggested Citation

  • Jianhui Xie & Xiaoxuan Zhu & Liang Liang, 2020. "A multiplicative method for estimating the potential gains from two-stage production system mergers," Annals of Operations Research, Springer, vol. 288(1), pages 475-493, May.
    • Handle: RePEc:spr:annopr:v:288:y:2020:i:1:d:10.1007_s10479-020-03530-x
    DOI: 10.1007/s10479-020-03530-x
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    2. Contreras, I. & Lozano, S., 2022. "Size efficiency, splits and merger gains, and centralized resource reallocation of Spanish public universities," Socio-Economic Planning Sciences, Elsevier, vol. 81(C).
    3. Biresh K. Sahoo & Kaoru Tone, 2022. "Evaluating the potential efficiency gains from optimal industry configuration: A case of life insurance industry of India," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(8), pages 3996-4009, December.
    4. Volkan Soner Özsoy & Mediha Örkcü & H. Hasan Örkcü, 2021. "A minimax approach for selecting the overall and stage-level most efficient unit in two stage production processes," Annals of Operations Research, Springer, vol. 300(1), pages 137-169, May.
    5. Imad Bou-Hamad & Abdel Latef Anouze & Ibrahim H. Osman, 2022. "A cognitive analytics management framework to select input and output variables for data envelopment analysis modeling of performance efficiency of banks using random forest and entropy of information," Annals of Operations Research, Springer, vol. 308(1), pages 63-92, January.
    6. Li Jia & Wang Ping & Tao Xiangyang & Wen Yao, 2021. "Productivity Analysis for Banks’ Merger and Acquisition Using Two-Stage DEA: Evidence from China," Journal of Systems Science and Information, De Gruyter, vol. 9(6), pages 627-659, December.

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