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

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  • 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
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    Cited by:

    1. Laurens Cherchye & Willem Moesen & Nicky Rogge & Tom Puyenbroeck, 2007. "An Introduction to ‘Benefit of the Doubt’ Composite Indicators," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 82(1), pages 111-145, May.
    2. 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.
    3. 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.
    4. 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.
    5. T. Joro & E-J. Viitala, 1999. "The Efficiency of Public Forestry Organizations: A Comparison of Different Weight Restriction Approaches," Working Papers ir99059, International Institute for Applied Systems Analysis.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Peter Bogetoft, 2000. "DEA and Activity Planning under Asymmetric Information," Journal of Productivity Analysis, Springer, vol. 13(1), pages 7-48, January.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. Pereira, Miguel Alves & Camanho, Ana Santos & Figueira, José Rui & Marques, Rui Cunha, 2021. "Incorporating preference information in a range directional composite indicator: The case of Portuguese public hospitals," European Journal of Operational Research, Elsevier, vol. 294(2), pages 633-650.
    17. 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.
    18. 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.
    19. Cooper, W. W. & Tone, K., 1997. "Measures of inefficiency in data envelopment analysis and stochastic frontier estimation," European Journal of Operational Research, Elsevier, vol. 99(1), pages 72-88, May.
    20. Julie Harrison & Paul Rouse & Jamie Armstrong, 2012. "Categorical and continuous non-discretionary variables in data envelopment analysis: a comparison of two single-stage models," Journal of Productivity Analysis, Springer, vol. 37(3), pages 261-276, June.
    21. Qingxian An & Fanyong Meng & Beibei Xiong & Zongrun Wang & Xiaohong Chen, 2020. "Assessing the relative efficiency of Chinese high-tech industries: a dynamic network data envelopment analysis approach," Annals of Operations Research, Springer, vol. 290(1), pages 707-729, July.
    22. 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.
    23. 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.
    24. Bogetoft, Peter, 1999. "Process Aggregation and Efficiency," Unit of Economics Working Papers 24190, Royal Veterinary and Agricultural University, Food and Resource Economic Institute.

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    Keywords

    data envelopment analysis;

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