IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v34y1988i8p1029-1033.html
   My bibliography  Save this article

Note---A Note on Including Ordinal Relations Among Multipliers in Data Envelopment Analysis

Author

Listed:
  • Boaz Golany

    (Department of Industrial Engineering and Management, The Technion, Israel Institute of Technology, Haifa 32000, Israel)

Abstract

Data Envelopment Analysis (DEA) evaluates the efficiency of Decision Making Units without imposing a priori weights on the input and output dimensions involved. This Note extends DEA to situations where ordinal relations among weights corresponding to certain dimensions exist. The extended model is reduced to the original DEA formulation where some of the input and output factors are accumulated. An illustrative example is provided and potential areas of applications are pointed out.

Suggested Citation

  • Boaz Golany, 1988. "Note---A Note on Including Ordinal Relations Among Multipliers in Data Envelopment Analysis," Management Science, INFORMS, vol. 34(8), pages 1029-1033, August.
  • Handle: RePEc:inm:ormnsc:v:34:y:1988:i:8:p:1029-1033
    DOI: 10.1287/mnsc.34.8.1029
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.34.8.1029
    Download Restriction: no

    Citations

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


    Cited by:

    1. Despotis, Dimitris K. & Smirlis, Yiannis G., 2002. "Data envelopment analysis with imprecise data," European Journal of Operational Research, Elsevier, vol. 140(1), pages 24-36, July.
    2. T Joro & E-J Viitala, 2004. "Weight-restricted DEA in action: from expert opinions to mathematical models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(8), pages 814-821, August.
    3. Wade Cook & Dan Chai & John Doyle & Rodney Green, 1998. "Hierarchies and Groups in DEA," Journal of Productivity Analysis, Springer, vol. 10(2), pages 177-198, October.
    4. William W. Cooper & Kyung Sam Park & Gang Yu, 2001. "An Illustrative Application of Idea (Imprecise Data Envelopment Analysis) to a Korean Mobile Telecommunication Company," Operations Research, INFORMS, vol. 49(6), pages 807-820, December.
    5. Shimshak, Daniel G. & Lenard, Melanie L. & Klimberg, Ronald K., 2009. "Incorporating quality into data envelopment analysis of nursing home performance: A case study," Omega, Elsevier, vol. 37(3), pages 672-685, June.
    6. Francisco Pedraja-Chaparro & Javier Salinas-Jimenez & Peter Smith, 1997. "On the Role of Weight Restrictions in Data Envelopment Analysis," Journal of Productivity Analysis, Springer, vol. 8(2), pages 215-230, May.
    7. Green, Rodney H. & Doyle, John R. & Cook, Wade D., 1996. "Preference voting and project ranking using DEA and cross-evaluation," European Journal of Operational Research, Elsevier, vol. 90(3), pages 461-472, May.
    8. Garcia-Cestona, Miguel & Surroca, Jordi, 2008. "Multiple goals and ownership structure: Effects on the performance of Spanish savings banks," European Journal of Operational Research, Elsevier, vol. 187(2), pages 582-599, June.
    9. William W. Cooper & Kyung Sam Park & Gang Yu, 1999. "IDEA and AR-IDEA: Models for Dealing with Imprecise Data in DEA," Management Science, INFORMS, vol. 45(4), pages 597-607, April.
    10. Reuben Elan & Verma Bharat Bhushan & Bhat Ramesh, 2001. "Hospital Efficiency: An Empirical Analysis of District and Grant-in-Aid Hospitals in Gujarat," IIMA Working Papers WP2001-07-05, Indian Institute of Management Ahmedabad, Research and Publication Department.
    11. Chen, Chien-Ming & van Dalen, Jan, 2010. "Measuring dynamic efficiency: Theories and an integrated methodology," European Journal of Operational Research, Elsevier, vol. 203(3), pages 749-760, June.
    12. Huang, Zhimin & Li, Susan X., 1996. "Dominance stochastic models in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 95(2), pages 390-403, December.
    13. Peter Bogetoft, 2000. "DEA and Activity Planning under Asymmetric Information," Journal of Productivity Analysis, Springer, vol. 13(1), pages 7-48, January.
    14. Krishna Kumar, C. & Sinha, Bani K., 1999. "Efficiency based production planning and control models," European Journal of Operational Research, Elsevier, vol. 117(3), pages 450-469, September.
    15. Hamdan, Amer & (Jamie) Rogers, K.J., 2008. "Evaluating the efficiency of 3PL logistics operations," International Journal of Production Economics, Elsevier, vol. 113(1), pages 235-244, May.
    16. M. Soleimani-damaneh & M. Zarepisheh, 2009. "Linear transformations to decrease computational requirements of solving some known linear programming models," Annals of Operations Research, Springer, vol. 172(1), pages 37-43, November.
    17. Dariush Akbarian, 2020. "Avoiding dissimilarity between the weights of the optimal DEA solutions," OPSEARCH, Springer;Operational Research Society of India, vol. 57(2), pages 364-375, June.
    18. Bogetoft, Peter, 1999. "Process Aggregation and Efficiency," Unit of Economics Working Papers 24190, Royal Veterinary and Agricultural University, Food and Resource Economic Institute.

    More about this item

    Keywords

    data envelopment analysis;

    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:inm:ormnsc:v:34:y:1988:i:8:p:1029-1033. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Matthew Walls). General contact details of provider: http://edirc.repec.org/data/inforea.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.