×

A complete ranking of DMUs using restrictions in DEA models. (English) Zbl 1243.90075

Summary: Data Envelopment Analyses (DEA) is a linear programming based method which evaluates relative efficiency of Decision Making Units (DMUs). It can include multiple outputs and inputs without a priori weights and without requiring explicit specification of functional forms between inputs and outputs. It computes a scalar measure of efficiency and determines efficient levels of inputs and outputs for each DMU under evaluation which has a range of zero to “1”; hence, it has the ability to rank DMUs, unless when some DMUs are the same in efficiency score, such as efficient DMUs or inefficient DMUs with the same efficiency score.In many cases, it is necessary to give a full ranking of the DMUs. Hence this paper introduces a new method for complete ranking of decision making units, which it does not need any changes in the models. Also, for presentation of the ability of this method, it is employed to rank the bank branch of a commercial bank branches in an empirical example.

MSC:

90B50 Management decision making, including multiple objectives
91B06 Decision theory
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Adler, N.; Friedman, L.; Sinuany-Stern, Z., Review of ranking methods in the data envelopment analysis context, European Journal of Operational Research., 140, 249-265 (2002) · Zbl 1001.90048
[2] Andersen, P.; Petersen, N. C., A procedure for ranking efficient units in data envelopment analysis, Management Science, 39, 10, 1261-1264 (1993) · Zbl 0800.90096
[3] Bardhan, I.; Bowlin, W. F.; Cooper, W. W.; Sueyoshi, T., Models for efficiency dominance in data envelopment analysis. Part I: Additive models and MED measures, Journal of the Operations Research Society of Japan, 39, 322-332 (1996) · Zbl 0873.90001
[4] Banker, R. D.; Charnes, A.; Cooper, W. W., Some models for estimating technical and scale inefficiency in data envelopment analysis, Management Science, 31, 9, 1078-1092 (1984) · Zbl 0552.90055
[5] Charnes, A.; Cooper, W. W.; Rhodes, E., Measuring the efficiency of the decision making units, European Journal of Operational Research, 2, 6, 429-444 (1978) · Zbl 0416.90080
[6] Charnes, A.; Cooper, W. W., Programming with linear fractional, Naval Research Logistics Quarterly, 9, 3,4, 181-185 (1962) · Zbl 0127.36901
[7] Cooper, W. W.; Seiford, L. M.; Tone, K., Data envelopment analysis-a comprehensive text with models, applications, references and DEA-solver software (2000), Kluwer Academic Publisher: Kluwer Academic Publisher Dordrecht · Zbl 0990.90500
[8] Friedman, L.; Sinuany-Stern, Z., Scaling units via the canonical correlation analysis and the data envelopment analysis, European Journal of Operational Research, 100, 3, 629-637 (1997) · Zbl 0918.90003
[9] Golany, B., An interactive MOLP procedure for the extension of data envelopment analysis to effectiveness analysis, Journal of the Operational Research Society, 39, 8, 725-734 (1998) · Zbl 0655.90042
[10] Mehrabian, S.; Jahanshahloo, G. R.; Alirezaee, G. R.; Amin, G. R., An assurance interval of the non-Archimedean Epsilon in DEA models, Operations Research, 48, 344-347 (2000)
[11] Sexton, T. R.; Silkman, R. H.; Hogan, A. J., Data envelopment analysis: Critique and extensions, (Silkman, R. H., Measuring Efficiency: An Assessment of Data Envelopment Analysis (1986), Jossey-Bass: Jossey-Bass San Francisco, CA), 73-105
[12] Sowlati, T.; Paradi, J. C., Establishing the practical frontier in data envelopment analysis, The International Journal of Management Science - Omega, 32, 261-272 (2004)
[13] Torgersen, A. M.; Forsund, F. R.; Kittelsen, S. A.C., Slack-adjusted efficiency measures and ranking of efficient Units, The Journal of Productivity Analysis, 7, 379-398 (1996)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.