Ranking all units in data envelopment analysis. (English) Zbl 1260.90113

Summary: The motivation of this study is to propose an equitable method for ranking decision making units (DMUs) based on the data envelopment analysis (DEA) concept. For this purpose, first, the minimum and maximum efficiency values of each DMU are computed under the assumption that the sum of efficiency values of all DMUs is equal to unity. Then, the rank of each DMU is determined in proportion to a combination of its minimum and maximum efficiency values.


90B50 Management decision making, including multiple objectives
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[1] Charnes, A.; Cooper, W.W.; Rhodes, E., Measuring the efficiency of dmus, European journal of operational research, 2, 429-444, (1978) · Zbl 0416.90080
[2] 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
[3] Adler, N.; Friedman, L.; Sinvany-Stern, L., Review of ranking methods in the data envelopment analysis context, European journal of operational research, 140, 249-265, (2002) · Zbl 1001.90048
[4] Cook, W.; Kress, M.; Seiford, L., Prioritization models for frontier decision making units in DEA, European journal of operational research, 59, 319-323, (1992) · Zbl 0775.90004
[5] Andersen, P.; Petersen, N.C., A procedure for ranking efficient units in data envelopment analysis, Management science, 39, 1261-1264, (1993) · Zbl 0800.90096
[6] Li, S.; Jahanshahloo, G.R.; Khodabakhshi, M., A super-efficiency model for ranking efficient units in data envelopment analysis, Applied mathematics and computation, 184, 638-648, (2007) · Zbl 1149.90079
[7] Sexton, T.R.; Silkman, R.H.; Hogan, A.J., Data envelopment analysis: critique and extensions, (), 73-105
[8] 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)
[9] Liu, F.H.F.; Peng, H.H., Ranking of units on the DEA frontier with common weights, Computers & operations research, 35, 1624-1637, (2008) · Zbl 1211.90101
[10] Cooper, W.W.; Tone, K., Measures of inefficiency in data envelopment analysis and stochastic frontier estimation, European journal of operational research, 99, 72-88, (1997) · Zbl 0953.90532
[11] Ma, L.C.; Li, H.L., A fuzzy ranking method with range reduction techniques, European journal of operational research, 184, 1032-1043, (2008) · Zbl 1141.91009
[12] Zerafat Angiz, L.M.; Emrouznejad, A.; Mustafa, A.; Al-Eraqi, A.S., Aggregating preference ranking with fuzzy data envelopment analysis, Knowledge-based systems, 23, 512-519, (2010)
[13] Zerafat Angiz, L.M.; Mustafa, A.; Emrouznejad, A., Ranking efficient decision-making units in data envelopment analysis using fuzzy concept, Computers & industrial engineering, 59, 712-719, (2010)
[14] Cook, W.; Kress, M.; Seiford, L., A general framework for distance-based consensus in ordinal ranking models, European journal of operational research, 96, 392-397, (1996) · Zbl 0917.90023
[15] Foroughi, A.A.; Tamiz, M., An effective total ranking model for a ranked voting system, Omega, 33, 491-496, (2005)
[16] Jahanshahloo, G.R.; Vieiria Hunior, H., A new DEA ranking system based on changing the reference set, European journal of operational research, 181, 331-337, (2007) · Zbl 1121.90357
[17] Noguchi, H.; Ogawa, M.; Ishii, H., The appropriate total ranking method using DEA for multiple categorized purposes, Journal of computational and applied mathematics, 146, 155-166, (2002) · Zbl 1066.91024
[18] Toloo, M.; Sohrabi, B.; Nalchigar, S., A new method for ranking discovered rules from data mining by DEA, Expert systems with applications, 36, 8503-8508, (2009)
[19] Tsou, C.M.; Huang, D.Y., On some methods for performance ranking and correspondence analysis in the DEA context, European journal of operational research, 203, 771-783, (2010) · Zbl 1177.90227
[20] Khodabakhshi, M.; Aryavash, K., The fair allocation of common fixed cost or revenue using DEA concept, Annals of operations research, (2012) · Zbl 1308.91097
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