A Ranking Method of Extreme Efficient DMUs Using Super-Efficiency Model

Dariush Akbarian^{*}

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References

[1] A. Charnes, W.W. Cooper, E. Rodes, “Measuring the efficiency of decision making units”, European Journal of Operational Research, Vol. 2, No. 6, 1978, pp. 429-444.

[2] R.D. Banker, A. Charnes, W.W. Cooper, “Some models for estimating technical and scale ineffi-ciencies in data envelopment analysis”, Management Science, Vol. 30, No. 9, 1984, pp.1078-1092.

[3] Jin-Xiao Chen, Mingrong Deng, “A cross-dependence based ranking system for efficient and inefficient units in DEA”, Expert Systems with Applica-tions, Vol. 38, 2011, pp. 9648-9655.

[4] G.R. Jahan-shahloo, H.V. Junior, F. Hosseinzadeh Lotfi, & D. Akba-rian, “A new DEA ranking system based on changing the reference set”, European Journal of Operational Re-search, Vol. 18, 2007, pp. 331-337.

[5] S. Li, G.R. Jahanshahloo & M. Khodabakhshi, “A super-efficiency model for ranking efficient units in data envelopment analysis”, Applied Mathematics and Computation, Vol.184, 2007, pp. 638-648.

[6] F. Hosseinzadeh Lotfi, A.A. Noora, G.R. Jahanshahloo, M. Reshadi, “One DEA rankingmethod based on applying aggregate units”, Ex-pert Systems with Applications, Vol. 38, 2011, pp. 13468-13471

[7] S. Mehrabian, M. R. Alirezaee & G.R. Jahanshahloo, “A complete efficiency ranking of deci-sion making units in data envelopment analysis”. Com-putational Optimization and Applications, Vol. 14, 1999, pp. 261-266.

[8] N. Adler, L. Friedman & Z. Sinua-ny-Stern, “Review of ranking methods in the data enve-lopmentanalysis context”, European Journal of Opera-tional Research, Vol. 140, 2000, pp. 249-265.

[9] P. Andersen & N.C. Petersen, “A procedure for ranking efficient units in data envelopment analysis”, Manage-ment Science, Vol. 39, 1993, pp. 1261-1264.

[10] Y.M. Wanga, Y. Luob, L. Liang, “Ranking decision making units by imposing a minimum weight restriction in the data envelopment analysis”, Journal of Computational and Applied Mathematics, Vol. 223, 2009, pp. 469-484.

[11] A. Amirteimoori & S. Kordrostami, “Ef-ficient surfaces and an efficiency index in DEA: A con-stant returns to scale”, Applied Mathematics and Com-putation, Vol. 163, 2005, pp. 683-691.

[12] G.R. Jahan-shahloo, F. Hosseinzadeh Lotfi & D. Akbarian, “Finding weak defining hyperplanes of PPS of the CCR model”, submited to journal Applied Mathematical Modelling, Vol. 34, 2010, pp. 3321-3332.

[13] G.R. Jahanshahloo, F. Hosseinzadeh Lotfi & D. Akbarian, ”Finding weak defining hyperplanes of PPS of the BCC model”, Ap-plied Mathematical Modelling, Vol. 34, No.11, 2010, pp. 3321-3332.

[14] G.R. Jahanshahloo, F. Hosseinzadeh Lotfi, N. Shoja, G. Tohidi, S. Razavian, “Ranking by sing ??1-norm in data envelopment analysis”, Applied Mathematics and Computation, Vol. 153, 2004, pp. 215-224.