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The Scientific World Journal
Volume 2014 (2014), Article ID 382390, 7 pages
Research Article

Calculating Super Efficiency of DMUs for Ranking Units in Data Envelopment Analysis Based on SBM Model

1Department of Mathematics, Islamic Azad University, Science and Research Branch, Tehran, Iran
2Department of Mathematics, Islamic Azad University, Firozkoh Branch, Firozkoh, Iran

Received 5 April 2014; Revised 18 July 2014; Accepted 20 July 2014; Published 19 August 2014

Academic Editor: Mohsen Vaez-ghasemi

Copyright © 2014 E. Zanboori et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


There are a number of methods for ranking decision making units (DMUs), among which calculating super efficiency and then ranking the units based on the obtained amount of super efficiency are both valid and efficient. Since most of the proposed models do not provide the projection of Pareto efficiency, a model is developed and presented through this paper based on which in the projection of Pareto-efficient is obtained, in addition to calculating the amount of super efficiency. Moreover, the model is unit invariant, and is always feasible and makes the amount of inefficiency effective in ranking.