A super-efficiency model based on improved outputs in data envelopment analysis. (English) Zbl 1149.90077

Summary: This paper addresses “super-efficiency” issue based on improved outputs. Although the method is similar to an output-oriented version of Andersen and Petersen’s model [P. Andersen, N.C. Petersen, A procedure for ranking efficient units in data envelopment analysis, Management Science 39 (10) (1993) 1261 - 1264] (called AP model) under variable returns to scale, it is not limited to use the input amounts of evaluating DMU, therefore, it differs from AP approach. We can obtain a total ordering of DMUs by using this method. The proposed method will be particularly useful when getting an input combination for improving outputs is suitable for decision makers.


90B50 Management decision making, including multiple objectives
Full Text: DOI


[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] Ali, A.I.; Seiford, L.M., Computational accuracy and infinitesimals in data envelopment analysis, Infor, 31, 4, 290-297, (1993) · Zbl 0800.90086
[3] 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
[4] Banker, R.D.; Charnes, A.; Cooper, W.W., Some models for estimating technical and scale inefficiencies in data envelopment analysis, Management science, 30, 1078-1092, (1984) · Zbl 0552.90055
[5] Charnes, A.; Cooper, W.W.; Rhodes, E., Measuring the efficiencies of dmus, European journal of operational research, 2, 6, 429-444, (1978) · Zbl 0416.90080
[6] Cooper, W.W.; Deng, Hanghui; Gu, Bisheng; Li, Shanling; Thrall, R.M., Using DEA to improve the management of congestion in Chinese industries (1981-1997), Socio-economic planning sciences, 35, 227-242, (2001)
[7] Erkut, E., Measuring Canadian business school research output and impact, Canadian journal of administrative sciences, 19, 97-123, (2002)
[8] Jahanshahloo, G.R.; Khodabakhshi, M., Suitable combination of inputs for improving outputs in DEA with determining input congestion—considering textile industry of China, Applied mathematics and computation, 151, 1, 263-273, (2004) · Zbl 1043.90538
[9] Jahanshahloo, G.R.; Khodabakhshi, M., Determining assurance interval for non-Archimedean element in the improving outputs model in DEA, Applied mathematics and computation, 151, 2, 501-506, (2004) · Zbl 1049.90030
[10] Li Shanling, G.R. Jahanshahloo, M. Khodabakhshi, A super-efficiency model for ranking efficient units in data envelopment analysis, Applied Mathematics and Computation, in press, doi:10.1016/j.amc.2006.06.063. · Zbl 1149.90079
[11] Mehrabian, S.; Alirezaee, A.; Jahanshahloo, G.R., A complete efficiency ranking of decision making units in DEA, Computational optimaization and applications (COAP), 14, 261-266, (1999) · Zbl 0963.91021
[12] Tone, K., A slakes-based measure of super-efficiency in data envelopment analysis, European journal of operational research, 143, 1, 32-41, (2002) · Zbl 1073.90520
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