IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v226y2015i1p505-52510.1007-s10479-014-1728-x.html
   My bibliography  Save this article

Ranking decision-making units by using combination of analytical hierarchical process method and Tchebycheff model in data envelopment analysis

Author

Listed:
  • Seyed Rakhshan
  • Ali Kamyad
  • Sohrab Effati

Abstract

All the basic models in data envelopment analysis (DEA) divide decision making units (DMUs) in two groups: efficient DMUs and inefficient DMUs, and lack of discrimination of efficient units is a serious problem. Also in spite of completely ranking units in analytical hierarchy process (AHP), the process of making pairwise comparison matrix is based on experts’ choices and it causes error and inconsistency in resulted matrix. In this paper first a combined method is suggested for ranking the units and it will use benefits of both AHP and DEA methods to present a rational ranking, also will covers the problem of last methods noticeably and then properties and advantages of suggested method compare with another methods will be explained. Finally, for better comparison some numerical examples will be explained. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Seyed Rakhshan & Ali Kamyad & Sohrab Effati, 2015. "Ranking decision-making units by using combination of analytical hierarchical process method and Tchebycheff model in data envelopment analysis," Annals of Operations Research, Springer, vol. 226(1), pages 505-525, March.
  • Handle: RePEc:spr:annopr:v:226:y:2015:i:1:p:505-525:10.1007/s10479-014-1728-x
    DOI: 10.1007/s10479-014-1728-x
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-014-1728-x
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s10479-014-1728-x?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. Per Andersen & Niels Christian Petersen, 1993. "A Procedure for Ranking Efficient Units in Data Envelopment Analysis," Management Science, INFORMS, vol. 39(10), pages 1261-1264, October.
    2. 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.
    3. Friedman, Lea & Sinuany-Stern, Zilla, 1997. "Scaling units via the canonical correlation analysis in the DEA context," European Journal of Operational Research, Elsevier, vol. 100(3), pages 629-637, August.
    4. Adler, Nicole & Friedman, Lea & Sinuany-Stern, Zilla, 2002. "Review of ranking methods in the data envelopment analysis context," European Journal of Operational Research, Elsevier, vol. 140(2), pages 249-265, July.
    5. Saaty, Thomas L., 2003. "Decision-making with the AHP: Why is the principal eigenvector necessary," European Journal of Operational Research, Elsevier, vol. 145(1), pages 85-91, February.
    6. Banker, Rajiv D. & Chang, Hsihui, 2006. "The super-efficiency procedure for outlier identification, not for ranking efficient units," European Journal of Operational Research, Elsevier, vol. 175(2), pages 1311-1320, December.
    7. Charnes, A. & Cooper, W. W. & Golany, B. & Seiford, L. & Stutz, J., 1985. "Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 91-107.
    8. Jahanshahloo, Gholam Reza & Junior, Helcio Vieira & Lotfi, Farhad Hosseinzadeh & Akbarian, Darush, 2007. "A new DEA ranking system based on changing the reference set," European Journal of Operational Research, Elsevier, vol. 181(1), pages 331-337, August.
    9. William W. Cooper & Lawrence M. Seiford & Kaoru Tone, 2006. "Introduction to Data Envelopment Analysis and Its Uses," Springer Books, Springer, number 978-0-387-29122-2, December.
    10. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Yan Xu & Chung-Hsing Yeh, 2017. "Sustainability-based selection decisions for e-waste recycling operations," Annals of Operations Research, Springer, vol. 248(1), pages 531-552, January.
    2. Goutam Sutar & Rakesh Arrawatia & Krantiraditya Dhalmahapatra & Ashish Garg & Deepak Kumar, 2023. "Performance assessment of Dairy Cooperative Societies (DCSs): an AHP based composite index approach," Annals of Operations Research, Springer, vol. 326(2), pages 751-782, July.
    3. Wenli Liu & Ying-Ming Wang & Shulong Lv, 2017. "An aggressive game cross-efficiency evaluation in data envelopment analysis," Annals of Operations Research, Springer, vol. 259(1), pages 241-258, December.
    4. Seyed Ali Rakhshan, 2017. "Efficiency ranking of decision making units in data envelopment analysis by using TOPSIS-DEA method," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(8), pages 906-918, August.

    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. Dimitrov Stanko, 2014. "Comparing Data Envelopment Analysis and Human Decision Making Unit Rankings: A Survey Approach," Stochastics and Quality Control, De Gruyter, vol. 29(2), pages 129-141, December.
    2. Kanematsu, Simon Y. & Carvalho, Ney P. & Martinhon, Carlos A. & Almeida, Mariana R., 2020. "Ranking using η-efficiency and relative size measures based on DEA," Omega, Elsevier, vol. 90(C).
    3. Adler, Nicole & Yazhemsky, Ekaterina, 2010. "Improving discrimination in data envelopment analysis: PCA-DEA or variable reduction," European Journal of Operational Research, Elsevier, vol. 202(1), pages 273-284, April.
    4. Ghosh, Santosh & Yadav, Vinod Kumar & Mukherjee, Vivekananda, 2018. "Evaluation of cumulative impact of partial shading and aerosols on different PV array topologies through combined Shannon's entropy and DEA," Energy, Elsevier, vol. 144(C), pages 765-775.
    5. Mojtaba Ghiyasi & Jens Leth Hougaard, 2014. "Ranking Production Units According to Marginal Efficiency Contribution," MSAP Working Paper Series 04_2014, University of Copenhagen, Department of Food and Resource Economics.
    6. Marijana Petrović & Nataša Bojković & Mladen Stamenković, 2018. "A Dea-Based Tool For Tracking Best Practice Exemplars: The Case Of Telecommunications In Ebrd Countries," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 63(218), pages 105-128, July – Se.
    7. Rezaeiani, M.J. & Foroughi, A.A., 2018. "Ranking efficient decision making units in data envelopment analysis based on reference frontier share," European Journal of Operational Research, Elsevier, vol. 264(2), pages 665-674.
    8. Kang, Hee Jay & Kim, Changhee & Choi, Kanghwa, 2024. "Combining bootstrap data envelopment analysis with social networks for rank discrimination and suitable potential benchmarks," European Journal of Operational Research, Elsevier, vol. 312(1), pages 283-297.
    9. Tsou, Chi-Ming & Huang, Deng-Yuan, 2010. "On some methods for performance ranking and correspondence analysis in the DEA context," European Journal of Operational Research, Elsevier, vol. 203(3), pages 771-783, June.
    10. Li, Yongjun & Xie, Jianhui & Wang, Meiqiang & Liang, Liang, 2016. "Super efficiency evaluation using a common platform on a cooperative game," European Journal of Operational Research, Elsevier, vol. 255(3), pages 884-892.
    11. Seyed Ali Rakhshan, 2017. "Efficiency ranking of decision making units in data envelopment analysis by using TOPSIS-DEA method," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(8), pages 906-918, August.
    12. Adler, Nicole & Friedman, Lea & Sinuany-Stern, Zilla, 2002. "Review of ranking methods in the data envelopment analysis context," European Journal of Operational Research, Elsevier, vol. 140(2), pages 249-265, July.
    13. Alireza Amirteimoori & Sohrab Kordrostami, 2012. "A distance-based measure of super efficiency in data envelopment analysis: an application to gas companies," Journal of Global Optimization, Springer, vol. 54(1), pages 117-128, September.
    14. Babak Daneshvar Rouyendegh & Asil Oztekin & Joseph Ekong & Ali Dag, 2019. "Measuring the efficiency of hospitals: a fully-ranking DEA–FAHP approach," Annals of Operations Research, Springer, vol. 278(1), pages 361-378, July.
    15. Premachandra, I. M., 2001. "A note on DEA vs principal component analysis: An improvement to Joe Zhu's approach," European Journal of Operational Research, Elsevier, vol. 132(3), pages 553-560, August.
    16. Tran, Trung Hieu & Mao, Yong & Nathanail, Paul & Siebers, Peer-Olaf & Robinson, Darren, 2019. "Integrating slacks-based measure of efficiency and super-efficiency in data envelopment analysis," Omega, Elsevier, vol. 85(C), pages 156-165.
    17. Partovi, Fariborz Y., 2011. "Corporate philanthropic selection using data envelopment analysis," Omega, Elsevier, vol. 39(5), pages 522-527, October.
    18. Lai, Po‐Lin & Potter, Andrew & Beynon, Malcolm & Beresford, Anthony, 2015. "Evaluating the efficiency performance of airports using an integrated AHP/DEA-AR technique," Transport Policy, Elsevier, vol. 42(C), pages 75-85.
    19. C Kao & H-T Hung, 2005. "Data envelopment analysis with common weights: the compromise solution approach," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(10), pages 1196-1203, October.
    20. Dariush Khezrimotlagh & Wade D. Cook & Joe Zhu, 2021. "Number of performance measures versus number of decision making units in DEA," Annals of Operations Research, Springer, vol. 303(1), pages 529-562, August.

    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:spr:annopr:v:226:y:2015:i:1:p:505-525:10.1007/s10479-014-1728-x. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.