Mathematical Analysis and Convex Optimization
آنالیز ریاضی و بهینه سازی محدب
MACO
Basic Sciences
http://maco.lu.ac.ir
1
admin
2717-0624
2717-0624
8
10.29252/maco
14
8888
13
en
jalali
1400
9
1
gregorian
2021
12
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2
2
online
1
fulltext
en
The Sensitivity Analysis and Sustainability Radius of Economic Efficiency in Data Envelopment Analysis
Applied Mathematics
Applied Mathematics
پژوهشي
Research Article
In economics, a production function relates the outputs of a production process to the inputs of the production. Generally, the production function is not available due to the complexity of the production process, the changes in production technology. Therefore, we have to consider an approximation of the production function. Data Envelopment Analysis (DEA) is a non-parametric methodology for obtaining an approximation of the production function and assessing the relative efficiency of economic units. Sensitivity analysis and sustainability evaluation of Decision Making Units (DMUs) are as the most important concerns of Decision Makers (DM). This study considers the sustainability radius of economic performance of DMUs and then proposes some approaches combined with sensitivity analysis for determining the sustainability radius of cost efficiency, revenue efficiency and profit efficiency of units. The proposed approaches eliminate the unit under evaluation from the observed data and disturb the data of it, based on the sensitivity analysis, to determine the sustainability radius of cost efficiency, revenue efficiency and profit efficiency of decision making units. Potential application of our proposed methods is illustrated with a dataset consisting of 21 medical centers in Taiwan.
Data Envelopment Analysis, Economic efficiency, Cost efficiency, Revenue efficiency, Profit efficiency, Sustainability radius
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http://maco.lu.ac.ir/browse.php?a_code=A-10-80-2&slc_lang=en&sid=1
Esmaeil
Mombini1
mohsen_rostamy@yahoo.com
`1003194753284600934`

1003194753284600934
No
Ahvaz Branch, Islamic Azad University
Mohsen
Rostamy-Malkhalifeh2
mohsen_rostamy@yahoo.com
`1003194753284600935`

1003194753284600935
Yes
Science and Research Branch, Islamic Azad University
Mansor
Saraj
mohsen_rostamy@yahoo.com
`1003194753284600936`

1003194753284600936
No
Shahid Chamran University of Ahvaz