Strict vs. Weak Ordinal Relations for Multipliers in Data Envelopment Analysis
AbstractIn a recent paper, Golany (1988) proposes an interesting extension of Data Envelopment Analysis to the situation where ordinal relations among weights corresponding to certain dimensions exist. However, the development of the extended model contains mathematical errors and the proposed equivalence is incorrect. We establish the correct model equivalence and prove that weak ordinal relations require a nonstandard DEA model. We also show that the case of strict ordinal relations can be handled with the standard DEA model. These results hold for the CCR, BCC, additive, and multiplicative models and for relations involving both input and output multipliers.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoArticle provided by INFORMS in its journal Management Science.
Volume (Year): 37 (1991)
Issue (Month): 6 (June)
data envelopment analysis; ordinal relationships; orderings; relative efficiency;
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- 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.
- 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.
- Bogetoft, Peter & Nielsen, Kurt, 2002. "Internet Based Benchmarking," Unit of Economics Working papers 24215, Royal Veterinary and Agricultural University, Food and Resource Economic Institute.
- 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.
- 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.
- Bozec, Richard & Dia, Mohamed, 2007. "Board structure and firm technical efficiency: Evidence from Canadian state-owned enterprises," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1734-1750, March.
- Agrell, Per J. & Bogetoft, Peter, 2001. "DEA-Based Incentive Regimes in Health-Care Provision," Unit of Economics Working papers 24182, Royal Veterinary and Agricultural University, Food and Resource Economic Institute.
- Troutt, Marvin D. & Ehie, Ike C. & Brandyberry, Alan A., 2007. "Maximally productive input-output units," European Journal of Operational Research, Elsevier, vol. 178(2), pages 359-373, April.
- 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.
- Bogetoft, Peter, 1999. "Process Aggregation and Efficiency," Unit of Economics Working papers 24190, Royal Veterinary and Agricultural University, Food and Resource Economic Institute.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Mirko Janc).
If references are entirely missing, you can add them using this form.