Super-Efficiency and Sensitivity Analysis Based on Input-Oriented DEA-R
This paper suggests a method of finding super-efficiency scores and modification of input-oriented models for sensitivity analysis of decision making units. First, by using DEA-R (ratiobased DEA) models in the input orientation, the models of superefficiency and also models of super-efficiency m...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Islamic Azad University
2012-03-01
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| Series: | Journal of Mathematical Extension |
| Online Access: | http://ijmex.com/index.php/ijmex/article/view/100 |
| _version_ | 1828853138378981376 |
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| author | M. R. Mozaffari∗ J. Gerami |
| author_facet | M. R. Mozaffari∗ J. Gerami |
| author_sort | M. R. Mozaffari∗ |
| collection | DOAJ |
| description | This paper suggests a method of finding super-efficiency
scores and modification of input-oriented models for sensitivity
analysis of decision making units. First, by using DEA-R (ratiobased
DEA) models in the input orientation, the models of superefficiency
and also models of super-efficiency modification are suggested.
Second, the worst-case scenarios are considered where the
efficiency of the test DMU is deteriorating while the efficiencies
of the other DMUs are improving. Then, by combining these two
ideas, a model is suggested which increases the super-efficiency
score and modifies the change ranges in order to preserve the performance
class. In the end, the super-efficiency and change interval
of efficient decision making units for 23 branches of Zone 1 of the
Islamic Azad University are calculated |
| first_indexed | 2024-12-13T00:08:29Z |
| format | Article |
| id | doaj.art-ce0a57cc694f42cbaddb32234ef88ce5 |
| institution | Directory Open Access Journal |
| issn | 1735-8299 1735-8299 |
| language | English |
| last_indexed | 2024-12-13T00:08:29Z |
| publishDate | 2012-03-01 |
| publisher | Islamic Azad University |
| record_format | Article |
| series | Journal of Mathematical Extension |
| spelling | doaj.art-ce0a57cc694f42cbaddb32234ef88ce52022-12-22T00:06:08ZengIslamic Azad UniversityJournal of Mathematical Extension1735-82991735-82992012-03-0161103114Super-Efficiency and Sensitivity Analysis Based on Input-Oriented DEA-RM. R. Mozaffari∗0J. Gerami1Islamic Azad University, Science and Research-Fars BranchIslamic Azad University, Science and Research-Fars BranchThis paper suggests a method of finding super-efficiency scores and modification of input-oriented models for sensitivity analysis of decision making units. First, by using DEA-R (ratiobased DEA) models in the input orientation, the models of superefficiency and also models of super-efficiency modification are suggested. Second, the worst-case scenarios are considered where the efficiency of the test DMU is deteriorating while the efficiencies of the other DMUs are improving. Then, by combining these two ideas, a model is suggested which increases the super-efficiency score and modifies the change ranges in order to preserve the performance class. In the end, the super-efficiency and change interval of efficient decision making units for 23 branches of Zone 1 of the Islamic Azad University are calculatedhttp://ijmex.com/index.php/ijmex/article/view/100 |
| spellingShingle | M. R. Mozaffari∗ J. Gerami Super-Efficiency and Sensitivity Analysis Based on Input-Oriented DEA-R Journal of Mathematical Extension |
| title | Super-Efficiency and Sensitivity Analysis Based on Input-Oriented DEA-R |
| title_full | Super-Efficiency and Sensitivity Analysis Based on Input-Oriented DEA-R |
| title_fullStr | Super-Efficiency and Sensitivity Analysis Based on Input-Oriented DEA-R |
| title_full_unstemmed | Super-Efficiency and Sensitivity Analysis Based on Input-Oriented DEA-R |
| title_short | Super-Efficiency and Sensitivity Analysis Based on Input-Oriented DEA-R |
| title_sort | super efficiency and sensitivity analysis based on input oriented dea r |
| url | http://ijmex.com/index.php/ijmex/article/view/100 |
| work_keys_str_mv | AT mrmozaffari superefficiencyandsensitivityanalysisbasedoninputorienteddear AT jgerami superefficiencyandsensitivityanalysisbasedoninputorienteddear |