IDEAS home Printed from https://ideas.repec.org/a/taf/tjorxx/v70y2019i3p472-486.html
   My bibliography  Save this article

Performance evaluation and quota allocation for multiple undesirable outputs based on the uniform frontier

Author

Listed:
  • Chenpeng Feng
  • Feng Chu
  • Nan Zhou
  • Gongbing Bi
  • Jingjing Ding

Abstract

The zero sum gains data envelopment analysis (ZSG-DEA) models and the corresponding uniform frontier method are widely applied for performance evaluation and resource/quota allocation in practice. Nevertheless, assuming variable returns-to-scale (VRS) and a situation with multiple ZSG inputs/outputs, the existing ZSG-DEA models may have no feasible solution for some efficient decision-making units and hence the uniform frontier cannot always be determined. In this study, two improved ZSG-DEA models are proposed, one assuming constant returns-to-scale (CRS) and the other VRS. Then, a general iterative algorithm is developed for resource/quota allocation based on the uniform frontier. We prove that the proposed method can always allocate multiple resources/quotas under both CRS and VRS assumptions, which extends the existing uniform frontier method research. An application to environmental performance evaluation and quota allocation for 30 administrative regions in China is presented to elucidate the main ideas.

Suggested Citation

  • Chenpeng Feng & Feng Chu & Nan Zhou & Gongbing Bi & Jingjing Ding, 2019. "Performance evaluation and quota allocation for multiple undesirable outputs based on the uniform frontier," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 70(3), pages 472-486, March.
    • Handle: RePEc:taf:tjorxx:v:70:y:2019:i:3:p:472-486
    DOI: 10.1080/01605682.2018.1447248
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/01605682.2018.1447248
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/01605682.2018.1447248?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lozano, Sebastián, 2023. "Bargaining approach for efficiency assessment and target setting with fixed-sum variables," Omega, Elsevier, vol. 114(C).
    2. Thanasis Bouzidis & Giannis Karagiannis, 2022. "Extending the zero-sum gains data envelopment analysis model," Journal of Productivity Analysis, Springer, vol. 58(2), pages 171-184, December.
    3. Bouzidis, Thanasis & Karagiannis, Giannis, 2022. "An alternative ranking of DMUs performance for the ZSG-DEA model," Socio-Economic Planning Sciences, Elsevier, vol. 81(C).
    4. Tingting Liu & Zichen Zheng & Yuneng Du, 2021. "Evaluation on regional science and technology resources allocation in China based on the zero sum gains data envelopment analysis," Journal of Intelligent Manufacturing, Springer, vol. 32(6), pages 1729-1737, August.
    5. Thanasis Bouzidis & Giannis Karagiannis, 2021. "An Alternative Ranking of DMUs Performance for the ZGS-DEA Model," Discussion Paper Series 2021_12, Department of Economics, University of Macedonia, revised Oct 2021.
    6. Thanasis Bouzidis & Giannis Karagiannis, 2022. "Extending the Zero-Sum Gains Data Envelopment Analysis Model," Discussion Paper Series 2022_06, Department of Economics, University of Macedonia, revised Aug 2022.

    More about this item

    Statistics

    Access and download statistics

    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:taf:tjorxx:v:70:y:2019:i:3:p:472-486. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/tjor .

    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.