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Dariush Akbarian, Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran.
Hossein Dibachi, Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran.
Free Replication Hull (FRH) is a special case of the CCR DEA problem in which the convexity axiom is excluded from the PPS of the CCR model and the intensity variables are restricted to the whole numbers. In this paper we propose MAJ-FRH, similar to the ranking method in data envelopment analysis proposed by Mehrabian et al.  to discriminate FRH-efficient DMUs.
Data envelopment analysis; Free Replication Hull (FRH); Ranking.
Cite this paper
Dariush Akbarian, Hossein Dibachi, Discriminating efficient DMUs using MAJ-FRH, SCIREA Journal of Mathematics. Vol. 1 , No. 1 , 2016 , pp. 130 - 139 .
|[ 1 ]||S.A. Rakhshan, A.V. Kamyad, S. Effati, “Ranking decision-making units by using combination of analytical hierarchical process method and Tchebycheff model in data envelopment analysis”, Annal of Operational Research, 226 (1) (2014) 505-525.|
|[ 2 ]||M. Izadikhah, R. Farzipoor Saen, “A new data envelopment analysis method for ranking decision making units: an application in industrial parks”, Expert Systems, (2015).|
|[ 3 ]||S. Mehrabian, M. R. Alirezaee, G.R. Jahanshahloo, “A complete efficiency ranking of decision making units in data envelopment analysis”, Computational Optimization and Applications, 14 (1999) 261-266.|
|[ 4 ]||P. Andersen, N.C. Petersen, “A procedure for ranking efficient units in data envelopment analysis”, Management Science, 39 (1993) 1261-1264.|
|[ 5 ]||J.R. Doyle, R. Green, “Efficiency and cross-efficiency in DEA: Derivations, meanings and uses“. Journal of Operational Research Society 45 (5) (1994) 567-578.|
|[ 6 ]||L.M. Seiford, J. Zhu, “Infeasibility of super-efficiency data envelopment analysis models”, INFOR, 37 (1999)174-187.|
|[ 7 ]||Sh. Sun, Sh-Ch Hub, “Discriminating efficient units using MAJ FDH”, Applied Mathematics and Computation , 215 (2009) 3116-3123.|
|[ 8 ]||M.S. Saati, M. Zarafat Angiz, G.R. Jahanshahloo, . A model for ranking decision making units in data envelopment analysis. Recrca operativa vol.31. (1999)|
|[ 9 ]||T. Sueyoshi, DEA non-parametric ranking test and index measurement: slack-adjusted DEA and an application to Japanese agriculture cooperatives, Omega 27 (1999) 315326.|
|[ 10 ]||Tulkens H., On FDH efficiency analysis: some methodological issues and applications to retail, banking, courts and urban transit, Journal of Productivity Analysis 4 (1993) 183-210.|