Abstract
When a DMU under evaluation is not included in the reference set of the envelopment models, the resulting DEA models are called super-efficiency DEA models. Charnes et al. (Int J Systems Sci 23:789–798, 1992) use a super-efficiency model to study the sensitivity of the efficiency classifications. Zhu (Eur J Operational Res 90:451–460, 1996) and Seiford and Zhu (Eur J Operational Res 108:127–139, 1998) develop a number of new super-efficiency models to determine the efficiency stability regions (see Chap. 11, Sensitivity Analysis). Andersen and Petersen (Manage Sci 39:1261–1264, 1993) propose using the CRS super-efficiency model in ranking the efficient DMUs. Also, the super-efficiency DEA models can be used in detecting influential observations (Wilson J Prod Anal 6:27–45, 1995) and in identifying the extreme efficient DMUs (Thrall Ann Oper Res 66:109–138, 1996). Seiford and Zhu (INFOR 37:174–187, 1999) study the infeasibility of various super-efficiency models developed from the envelopment models in Table 11.2, Chap. 11 (Sensitivity Analysis) presents other super-efficiency models that are used in sensitivity analysis.
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References
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Zhu, J. (2014). Super Efficiency. In: Quantitative Models for Performance Evaluation and Benchmarking. International Series in Operations Research & Management Science, vol 213. Springer, Cham. https://doi.org/10.1007/978-3-319-06647-9_10
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