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Two-stage network DEA: when intermediate measures can be treated as outputs from the second stage

Author

Listed:
  • Sonia Aviles-Sacoto

    (Doctoral Program in Engineering Sciences, ITESM-Monterrey, Mexico)

  • Wade D Cook

    (Schulich School of Buisness, York University, Toronto, Canada M3J1P3)

  • Raha Imanirad

    (Doctoral Program, Harvard Business School, Soldiers Field, Boston, MA 02163)

  • Joe Zhu

    (International Center for Auditing and Evaluation, Nanjing Audit University, Nanjing, P.R. China; School of Business, Worcester Polytechnic Institute, Worcester, USA)

Abstract

This paper investigates efficiency measurement in a two-stage data envelopment analysis (DEA) setting. Since 1978, DEA literature has witnessed the expansion of the original concept to encompass a wide range of theoretical and applied research areas. One such area is network DEA, and in particular two-stage DEA. In the conventional closed serial system, the only role played by the outputs from Stage 1 is to behave as inputs to Stage 2. The current paper examines a variation of that system. In particular, we consider settings where the set of final outputs comprises not only those that result from Stage 2, but can include, in addition, certain outputs from the previous (first) stage. The difficulty that this situation creates is that such outputs are attempting to play both an input and output role in the same stage. We develop a DEA-based methodology that is designed to handle what we term ‘time-staged outputs’. We then examine an application of this concept where the DMUs are schools of business.

Suggested Citation

  • Sonia Aviles-Sacoto & Wade D Cook & Raha Imanirad & Joe Zhu, 2015. "Two-stage network DEA: when intermediate measures can be treated as outputs from the second stage," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(11), pages 1868-1877, November.
    • Handle: RePEc:pal:jorsoc:v:66:y:2015:i:11:p:1868-1877
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    Citations

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    Cited by:

    1. Khezrimotlagh, Dariush & Kaffash, Sepideh & Zhu, Joe, 2022. "U.S. airline mergers’ performance and productivity change," Journal of Air Transport Management, Elsevier, vol. 102(C).
    2. Mohammad Nemati & Reza Kazemi Matin & Mehdi Toloo, 2020. "A two-stage DEA model with partial impacts between inputs and outputs: application in refinery industries," Annals of Operations Research, Springer, vol. 295(1), pages 285-312, December.
    3. Galagedera, Don U.A. & Roshdi, Israfil & Fukuyama, Hirofumi & Zhu, Joe, 2018. "A new network DEA model for mutual fund performance appraisal: An application to U.S. equity mutual funds," Omega, Elsevier, vol. 77(C), pages 168-179.
    4. Dan Li & Yanfeng Li & Yeming Gong & Jiawei Yang, 2021. "Estimation of bank performance from multiple perspectives: an alternative solution to the deposit dilemma," Journal of Productivity Analysis, Springer, vol. 56(2), pages 151-170, December.
    5. Gong, Yeming & Liu, Jiawen & Zhu, Joe, 2019. "When to increase firms’ sustainable operations for efficiency? A data envelopment analysis in the retailing industry," European Journal of Operational Research, Elsevier, vol. 277(3), pages 1010-1026.
    6. Galagedera, Don U.A. & Watson, John & Premachandra, I.M. & Chen, Yao, 2016. "Modeling leakage in two-stage DEA models: An application to US mutual fund families," Omega, Elsevier, vol. 61(C), pages 62-77.
    7. Tavares, Rafael Santos & Angulo-Meza, Lidia & Sant'Anna, Annibal Parracho, 2021. "A proposed multistage evaluation approach for Higher Education Institutions based on network Data envelopment analysis: A Brazilian experience," Evaluation and Program Planning, Elsevier, vol. 89(C).
    8. Don Galagedera & Joan Tan, 2024. "Assessing Overall Performance of Sports Clubs and Decomposing into Their On-Field and Off-Field Efficiency," Mathematics, MDPI, vol. 12(22), pages 1-25, November.
    9. Mergoni, Anna & Soncin, Mara & Agasisti, Tommaso, 2023. "The effect of ICT on schools’ efficiency: Empirical evidence on 23 European countries," Omega, Elsevier, vol. 119(C).
    10. Xiao Shi & Yongjun Li & Ali Emrouznejad & Jianhui Xie & Liang Liang, 2017. "Estimation of potential gains from bank mergers: A novel two-stage cost efficiency DEA model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(9), pages 1045-1055, September.
    11. Keskin, Burak, 2021. "An efficiency analysis on social prosperity: OPEC case under network DEA slack-based measure approach," Energy, Elsevier, vol. 231(C).
    12. Huang-Ping Yen & Po-Chi Chen & Kung-Cheng Ho, 2021. "Analyzing Destination Accessibility From the Perspective of Efficiency Among Tourism Origin Countries," SAGE Open, , vol. 11(2), pages 21582440211, April.
    13. Galagedera, Don U.A., 2019. "Modelling social responsibility in mutual fund performance appraisal: A two-stage data envelopment analysis model with non-discretionary first stage output," European Journal of Operational Research, Elsevier, vol. 273(1), pages 376-389.
    14. Amirteimoori, Alireza & Kazemi Matin, Reza & Yadollahi, Amir Hossein, 2024. "Stochastic resource reallocation in two-stage production processes with undesirable outputs: An empirical study on the power industry," Socio-Economic Planning Sciences, Elsevier, vol. 93(C).
    15. Po-Yuan Shih & Cheng-Ping Cheng & Dong-Her Shih & Ting-Wei Wu & David C. Yen, 2022. "Who Is the Most Effective Country in Anti-Corruption? From the Perspective of Open Government Data and Gross Domestic Product," Mathematics, MDPI, vol. 10(13), pages 1-20, June.

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