Science Publications

An Enhanced Russell Measure of Super-Efficiency for Ranking Efficient Units in Data Envelopment Analysis


Ali Ashrafi, Azmi B. Jaafar, Lai S. Lee and Mohd R.A. Bakar

American Journal of Applied Sciences
DOI: 10.3844/ajassp.2011.92.96
Volume 8, Issue 1
Pages 92-96

Abstract


Problem statement: Conventional Data Envelopment Analysis (DEA) helps decision makers to discriminate between efficient and inefficient Decision Making Units (DMUs). However, DEA does not provide more information about the efficient DMUs. Super-efficiency DEA model can be used in ranking the performance of efficient DMUs. Because of the possible infeasibility of radial super-efficiency DEA model, the ranking has been limited to the model under the assumption of Constant Returns to Scale (CRS). Approach: This study proposes a super-efficiency model based on the Enhanced Russell Measure (ERM) of efficiency. This is a non-radial measure and appropriate for ranking the efficient DMUs when inputs and outputs may change non-proportionally. Results: Theoretical results show that the new super-efficiency model is always feasible under the assumption of non-CRS. Also, numerical examples from the literature are provided to test the new super-efficiency approach. Conclusion: This study provides a non-radial measure of super-efficiency based on the ERM model to discriminate among the efficient DMUs resulting different efficiency scores greater than one. Unlike the traditional radial super-efficiency models, the proposed method is always feasible.

Citation


Ashrafi, A., A.B. Jaafar, L.S. Lee and M.R.A. Bakar, 2011. An enhanced russell measure of super-efficiency for ranking efficient units in data envelopment analysis. Am. J. Applied Sci., 8: 92-96.
DOI: 10.3844/ajassp.2011.92.96
URL: http://thescipub.com/abstract/10.3844/ajassp.2011.92.96