Research Article Open Access

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

Ali Ashrafi1, Azmi Bin Jaafar2, Lai Soon Lee2 and Mohd Rizam Abu Bakar2
  • 1 ,
  • 2 , Afganistan
American Journal of Applied Sciences
Volume 8 No. 1, 2011, 92-96

DOI: https://doi.org/10.3844/ajassp.2011.92.96

Submitted On: 8 October 2010
Published On: 31 January 2011

How to Cite: Ashrafi, A., Jaafar, A. B., Lee, L. S. & Bakar, M. R. A. (2011). An Enhanced Russell Measure of Super-Efficiency for Ranking Efficient Units in Data Envelopment Analysis. American Journal of Applied Sciences, 8(1), 92-96. https://doi.org/10.3844/ajassp.2011.92.96

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.

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Keywords

  • Data envelopment analysis
  • Decision Making Units (DMUs)
  • super-efficiency
  • ranking efficient units
  • Enhanced Russell Measure (ERM)