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An enhanced russell measure of super-efficiency for ranking efficient units in data envelopment analysis


Ashrafi, Ali and Jaafar, Azmi and Lee, Lai Soon and Abu Bakar, Mohd Rizam (2011) An enhanced russell measure of super-efficiency for ranking efficient units in data envelopment analysis. American Journal of Applied Sciences, 8 (1). pp. 92-96. ISSN 1546-9239; ESSN: 1554-3641


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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Additional Metadata

Item Type: Article
Divisions: Faculty of Computer Science and Information Technology
Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.3844/ajassp.2011.92.96
Publisher: Science Publications
Keywords: Data envelopment analysis; Decision Making Units (DMUs); Enhanced Russell Measure (ERM); Ranking efficient units; Super-efficiency
Depositing User: Nabilah Mustapa
Date Deposited: 08 Jun 2016 04:27
Last Modified: 08 Jun 2016 04:27
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3844/ajassp.2011.92.96
URI: http://psasir.upm.edu.my/id/eprint/22437
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