Tone, Kaoru A slacks-based measure of super-efficiency in data envelopment analysis. (English) Zbl 1073.90520 Eur. J. Oper. Res. 143, No. 1, 32-41 (2002). Summary: In most models of Data Envelopment Analysis (DEA), the best performers have the full efficient status denoted by unity (or 100%), and, from experience, we know that usually plural Decision Making Units (DMUs) have this ”efficient status”. To discriminate between these efficient DMUs is an interesting subject. This paper addresses this ”super-efficiency” issue by using the slacks-based measure (SBM) of efficiency, which the author proposed in his previous paper [Eur. J. Oper. Res. 130, No. 3, 498–509 (2001; Zbl 0990.90523)]. The method differs from the traditional one based on the radial measure, e.g. Andersen and Petersen model, in that the former deals directly with slacks in inputs/outputs, while the latter does not take account of the existence of slacks. We will demonstrate the rationality of our approach by comparing it with the radial measure of super-efficiency. The proposed method will be particularly useful when the number of DMUs are small compared with the number of criteria employed for evaluation. Cited in 2 ReviewsCited in 75 Documents MSC: 90B50 Management decision making, including multiple objectives Keywords:DEA; Efficiency; Super-efficiency; Slacks; Units invariant; Multiple criteria decision-making Citations:Zbl 0990.90523 PDFBibTeX XMLCite \textit{K. Tone}, Eur. J. Oper. Res. 143, No. 1, 32--41 (2002; Zbl 1073.90520) Full Text: DOI References: [1] Andersen, P.; Petersen, N. C., A procedure for ranking efficient units in data envelopment analysis, Management Science, 39, 1261-1264 (1993) · Zbl 0800.90096 [2] Charnes, A.; Cooper, W. W., Management Models and Industrial Applications of Linear Programming (1961), Wiley: Wiley New York · Zbl 0107.37004 [3] Charnes, A.; Cooper, W. W., Programming with linear fractional functionals, Naval Research Logistics Quarterly, 15, 333-334 (1962) · Zbl 0127.36901 [4] Charnes, A.; Cooper, W. W.; Rhodes, E., Measuring the efficiency of decision making units, European Journal of Operational Research, 2, 429-444 (1978) · Zbl 0416.90080 [5] 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 Publishers: Kluwer Academic Publishers Dordrecht · Zbl 0990.90500 [6] Doyle, J.; Green, R., Data envelopment analysis and multiple criteria decision making, Omega, 21, 713-715 (1993) [7] Doyle, J.; Green, R., Efficiency and cross-efficiency in DEA: Derivations, meanings and uses, Journal of the Operational Research Society, 45, 567-578 (1994) · Zbl 0807.90016 [8] Seiford, L. M.; Zhu, J., Infeasibility of super-efficiency data envelopment analysis models, INFORS, 37, 174-187 (1999) · Zbl 07677588 [9] Stewart, T. J., Data envelopment analysis and multiple criteria decision-making - A response, Omega, 22, 205-206 (1994) [10] Tofallis, C., Improving discernment in DEA using profiling, Omega, 24, 361-364 (1996) [11] Tone, K., A slacks-based measure of efficiency in data envelopment analysis, European Journal of Operational Research, 130, 498-509 (2001) · Zbl 0990.90523 [12] Zhu, J., Super-efficiency and DEA sensitivity analysis, European Journal of Operational Research, 129, 443-455 (2001) · Zbl 0985.90058 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.