An enhanced russell measure of super-efficiency for ranking efficient units in data envelopment analysis
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 perform...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Science Publications
2011
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/22437/1/ajassp.2011.92.96.pdf |
| _version_ | 1796970160620306432 |
|---|---|
| author | Ashrafi, Ali Jaafar, Azmi Lee, Lai Soon Abu Bakar, Mohd Rizam |
| author_facet | Ashrafi, Ali Jaafar, Azmi Lee, Lai Soon Abu Bakar, Mohd Rizam |
| author_sort | Ashrafi, Ali |
| collection | UPM |
| description | 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. |
| first_indexed | 2024-03-06T07:53:56Z |
| format | Article |
| id | upm.eprints-22437 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T07:53:56Z |
| publishDate | 2011 |
| publisher | Science Publications |
| record_format | dspace |
| spelling | upm.eprints-224372016-06-08T04:27:15Z http://psasir.upm.edu.my/id/eprint/22437/ An enhanced russell measure of super-efficiency for ranking efficient units in data envelopment analysis Ashrafi, Ali Jaafar, Azmi Lee, Lai Soon Abu Bakar, Mohd Rizam 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. Science Publications 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/22437/1/ajassp.2011.92.96.pdf 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 http://www.thescipub.com/abstract/10.3844/ajassp.2011.92.96 10.3844/ajassp.2011.92.96 |
| spellingShingle | Ashrafi, Ali Jaafar, Azmi Lee, Lai Soon Abu Bakar, Mohd Rizam An enhanced russell measure of super-efficiency for ranking efficient units in data envelopment analysis |
| title | An enhanced russell measure of super-efficiency for ranking efficient units in data envelopment analysis |
| title_full | An enhanced russell measure of super-efficiency for ranking efficient units in data envelopment analysis |
| title_fullStr | An enhanced russell measure of super-efficiency for ranking efficient units in data envelopment analysis |
| title_full_unstemmed | An enhanced russell measure of super-efficiency for ranking efficient units in data envelopment analysis |
| title_short | An enhanced russell measure of super-efficiency for ranking efficient units in data envelopment analysis |
| title_sort | enhanced russell measure of super efficiency for ranking efficient units in data envelopment analysis |
| url | http://psasir.upm.edu.my/id/eprint/22437/1/ajassp.2011.92.96.pdf |
| work_keys_str_mv | AT ashrafiali anenhancedrussellmeasureofsuperefficiencyforrankingefficientunitsindataenvelopmentanalysis AT jaafarazmi anenhancedrussellmeasureofsuperefficiencyforrankingefficientunitsindataenvelopmentanalysis AT leelaisoon anenhancedrussellmeasureofsuperefficiencyforrankingefficientunitsindataenvelopmentanalysis AT abubakarmohdrizam anenhancedrussellmeasureofsuperefficiencyforrankingefficientunitsindataenvelopmentanalysis AT ashrafiali enhancedrussellmeasureofsuperefficiencyforrankingefficientunitsindataenvelopmentanalysis AT jaafarazmi enhancedrussellmeasureofsuperefficiencyforrankingefficientunitsindataenvelopmentanalysis AT leelaisoon enhancedrussellmeasureofsuperefficiencyforrankingefficientunitsindataenvelopmentanalysis AT abubakarmohdrizam enhancedrussellmeasureofsuperefficiencyforrankingefficientunitsindataenvelopmentanalysis |