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Ranking DMUs by Ideal PPS in Data Envelopment Analysis

Authors: V.Rezaie, M.Khanmohammady


An original DEA model is to evaluate each DMU optimistically, but the interval DEA Model proposed in this paper has been formulated to obtain an efficiency interval consisting of Evaluations from both the optimistic and the pessimistic view points. DMUs are improved so that their lower bounds become so large as to attain the maximum Value one. The points obtained by this method are called ideal points. Ideal PPS is calculated by ideal of efficiency DMUs. The purpose of this paper is to rank DMUs by this ideal PPS. Finally we extend the efficiency interval of a DMU under variable RTS technology.

Keywords: data envelopment analysis (DEA), interval DEA, Decision makingunit (DMU), Ideal points, Ideal PPS, Return to scale(RTS)

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[1] A. Charnes, W.W. Cooper, E. Rhodes, Measuring the efficiency of decision making units, European Journal of Operational Research 2 (1978) 429444.
[2] A. Charnes, W.W. Cooper, E. Rhodes, Evaluating program and managerial efficiency: An application of data envelopment analysis to program follows through, Management Science 27 (6) (1981) 668734.
[3] F. Nagano, T. Yamaguchi, T. Fukukawa, DEA with fuzzy output data, Communications of the Operational Research Society of Japan 40(8)(1995), 425-429 (in Japanese).
[4] G.R. Jahanshahloo, F. Hosseinzadeh Lotfi, N. Shoja, G. Tohidi, S. Razavyan, Ranking using l1-norm in data envelopment analysis, Applied Mathematics and Computation 153(2004) 215-224.
[5] K. Tone, A slacks based measure of efficiency in data envelopment analysis. European Journal of Operational Research 130(2001) 498-509.
[6] R.Fare ,C.A.K. Lovel, Measuring the technical efficiency of production. Journal of Economic Theory 19(1978) 150-162.
[7] R.R. Russell, Measure of technical efficiency. Journal of Economic Theory 35(1985) 109-126.
[8] P. Andersen, N.C. Petersen, A procedure for ranking efficient units in data envelopment analysis,Management Science 39(1993) 1261-1264.
[9] 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.
[10] T. Entani, Y. Maeda, H. Tanaka, Dual models of interval DEA and its extension to interval data, European Journal of Operational Research 136(2002) 32-45.
[11] T. Entani, H. Tanaka, Improvement of efficiency intervals based on DEA by adjusting inputs and outputs, European Journal of Operational Research 172 (2006) 1004-1017.
[12] T. Sueyoshi, K. Sekitani, Computational strategy for Russell measure in DEA. European Journal of Operational Research 180(2007) 459-471.
[13] W.W. Cooper, K.S. Park, J.T. Pastor, A range adjusted measure of inefficiency for use with additive models and relations to other models and measures in DEA. Journal of Productivity Analysis 11(1999) 5-42.
[14] W.W. Cooper, J.T. Pastor, Efficiency aggregation with enhanced Russel measure in DEA Working Paper. University of Texas at Austin, TX 78712-1174, USA (2003).
[15] Y.-M.Wang, R. Greatbanks, J.-B. Yang, Interval efficiency assessment using data envelopment analysis. Fuzzy Sets and Systems 153(2005) 347-370.