IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v74y2018icp15-19.html
   My bibliography  Save this article

Two-stage network DEA: Who is the leader?

Author

Listed:
  • Li, Haitao
  • Chen, Chialin
  • Cook, Wade D.
  • Zhang, Jinlong
  • Zhu, Joe

Abstract

The non-cooperative two-stage network DEA approach requires the assumption as to whether the first or second stage is the leader or follower. In many real-world situations such as evaluating sustainable design performances, however, information about the leader (dominant) stage is often unavailable as a firm׳s internal decision process may not be observable for outsiders. In the current study, we extend the work by Despotis, Sotiros and Koronakos (2016) [9] to generate a Pareto solution and identify the leader stage. We show that the optimal solution for the extended model is also a leader-follower solution and that the global optimal solution can be identified by comparing the efficiency score difference for the upper and lower bounds of the two stages. We also perform empirical tests with data from the insurance industry and automobile industry to demonstrate the applications of the proposed model in identifying the leader stage in two-stage DEA. It is shown that, in the absence of a priori knowledge, our analytical results can be used to uncover the dominant decision stage in a two-stage decision making process with interesting implications in performance evaluation in the two selected industries.

Suggested Citation

  • Li, Haitao & Chen, Chialin & Cook, Wade D. & Zhang, Jinlong & Zhu, Joe, 2018. "Two-stage network DEA: Who is the leader?," Omega, Elsevier, vol. 74(C), pages 15-19.
    • Handle: RePEc:eee:jomega:v:74:y:2018:i:c:p:15-19
    DOI: 10.1016/j.omega.2016.12.009
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S030504831630651X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.omega.2016.12.009?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Kirsti Iivonen & Johanna Moisander, 2015. "Rhetorical Construction of Narcissistic CSR Orientation," Journal of Business Ethics, Springer, vol. 131(3), pages 649-664, October.
    2. Chen, Chialin & Zhu, Joe & Yu, Jiun-Yu & Noori, Hamid, 2012. "A new methodology for evaluating sustainable product design performance with two-stage network data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 221(2), pages 348-359.
    3. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    4. Kao, Chiang & Hwang, Shiuh-Nan, 2008. "Efficiency decomposition in two-stage data envelopment analysis: An application to non-life insurance companies in Taiwan," European Journal of Operational Research, Elsevier, vol. 185(1), pages 418-429, February.
    5. Despotis, Dimitris K. & Sotiros, Dimitris & Koronakos, Gregory, 2016. "A network DEA approach for series multi-stage processes," Omega, Elsevier, vol. 61(C), pages 35-48.
    6. Liang Liang & Feng Yang & Wade Cook & Joe Zhu, 2006. "DEA models for supply chain efficiency evaluation," Annals of Operations Research, Springer, vol. 145(1), pages 35-49, July.
    7. Glover, J.L. & Champion, D. & Daniels, K.J. & Dainty, A.J.D., 2014. "An Institutional Theory perspective on sustainable practices across the dairy supply chain," International Journal of Production Economics, Elsevier, vol. 152(C), pages 102-111.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Despotis, Dimitris K. & Koronakos, Gregory & Sotiros, Dimitris, 2016. "The “weak-link” approach to network DEA for two-stage processes," European Journal of Operational Research, Elsevier, vol. 254(2), pages 481-492.
    2. Guo, Chuanyin & Abbasi Shureshjani, Roohollah & Foroughi, Ali Asghar & Zhu, Joe, 2017. "Decomposition weights and overall efficiency in two-stage additive network DEA," European Journal of Operational Research, Elsevier, vol. 257(3), pages 896-906.
    3. Zhou, Xiaoyang & Luo, Rui & Tu, Yan & Lev, Benjamin & Pedrycz, Witold, 2018. "Data envelopment analysis for bi-level systems with multiple followers," Omega, Elsevier, vol. 77(C), pages 180-188.
    4. Georgios Tsaples & Jason Papathanasiou & Andreas C. Georgiou, 2022. "An Exploratory DEA and Machine Learning Framework for the Evaluation and Analysis of Sustainability Composite Indicators in the EU," Mathematics, MDPI, vol. 10(13), pages 1-27, June.
    5. Chen, Xiafei & Liu, Zhiying & Zhu, Qingyuan, 2020. "Reprint of "Performance evaluation of China's high-tech innovation process :Analysis based on the innovation value chain"," Technovation, Elsevier, vol. 94.
    6. Tatiana Bencova & Andrea Bohacikova, 2022. "DEA in Performance Measurement of Two-Stage Processes: Comparative Overview of the Literature," Economic Studies journal, Bulgarian Academy of Sciences - Economic Research Institute, issue 5, pages 111-129.
    7. Chen, Xiafei & Liu, Zhiying & Zhu, Qingyuan, 2018. "Performance evaluation of China's high-tech innovation process: Analysis based on the innovation value chain," Technovation, Elsevier, vol. 74, pages 42-53.
    8. An, Qingxian & Chen, Haoxun & Xiong, Beibei & Wu, Jie & Liang, Liang, 2017. "Target intermediate products setting in a two-stage system with fairness concern," Omega, Elsevier, vol. 73(C), pages 49-59.
    9. Kao, Chiang, 2014. "Network data envelopment analysis: A review," European Journal of Operational Research, Elsevier, vol. 239(1), pages 1-16.
    10. Fang, Lei, 2020. "Stage efficiency evaluation in a two-stage network data envelopment analysis model with weight priority," Omega, Elsevier, vol. 97(C).
    11. Mohammad Amirkhan & Hosein Didehkhani & Kaveh Khalili-Damghani & Ashkan Hafezalkotob, 2018. "Measuring Performance of a Three-Stage Network Structure Using Data Envelopment Analysis and Nash Bargaining Game: A Supply Chain Application," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(05), pages 1429-1467, September.
    12. Monireh Jahani Sayyad Noveiri & Sohrab Kordrostami & Alireza Amirteimoori, 2022. "Performance analysis of sustainable supply networks with bounded, discrete, and joint factors," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 24(1), pages 238-270, January.
    13. Ang, Sheng & Liu, Pei & Yang, Feng, 2020. "Intra-Organizational and inter-organizational resource allocation in two-stage network systems," Omega, Elsevier, vol. 91(C).
    14. Milan Andrejić, 2023. "Modeling Retail Supply Chain Efficiency: Exploration and Comparative Analysis of Different Approaches," Mathematics, MDPI, vol. 11(7), pages 1-24, March.
    15. Moraes, Ricardo Kalil & Wanke, Peter Fernandes & Faria, João Ricardo, 2021. "Unveiling the endogeneity between social-welfare and labor efficiency: Two-stage NDEA neural network approach," Socio-Economic Planning Sciences, Elsevier, vol. 77(C).
    16. Kremantzis, Marios Dominikos & Beullens, Patrick & Kyrgiakos, Leonidas Sotirios & Klein, Jonathan, 2022. "Measurement and evaluation of multi-function parallel network hierarchical DEA systems," Socio-Economic Planning Sciences, Elsevier, vol. 84(C).
    17. Li, Yongjun & Chen, Yao & Liang, Liang & Xie, Jianhui, 2012. "DEA models for extended two-stage network structures," Omega, Elsevier, vol. 40(5), pages 611-618.
    18. Koronakos, Gregory & Sotiros, Dimitris & Despotis, Dimitris K. & Kritikos, Manolis N., 2022. "Fair efficiency decomposition in network DEA: A compromise programming approach," Socio-Economic Planning Sciences, Elsevier, vol. 79(C).
    19. Fukuyama, Hirofumi & Weber, William L., 2010. "A slacks-based inefficiency measure for a two-stage system with bad outputs," Omega, Elsevier, vol. 38(5), pages 398-409, October.
    20. Kao, Chiang, 2019. "Inefficiency identification for closed series production systems," European Journal of Operational Research, Elsevier, vol. 275(2), pages 599-607.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jomega:v:74:y:2018:i:c:p:15-19. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/375/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.