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Ranking DMUs by Calculating the Interval Efficiency with a Common Set of Weights in DEA
Joint Authors
Ahmad, Tahir
Maan, Normah
Khanmohammadi, Masumeh
Rezaie, Vahideh
Awang, Siti-Rahmah
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-02
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
To evaluate the performance of decision making units (DMUs), data envelopment analysis (DEA) was introduced.
Basically, the traditional DEA scheme calculates the best relative efficiency score (i.e., the “optimistic” efficiency) of each DMU with the most favorable weights.
A decision maker may be unable to compare and fully rank the efficiencies of different DMUs that are calculated using these potentially distinct sets of weights on the same basis.
Based on the literature, the assignable worst relative efficiency score (i.e., the “pessimistic” efficiency) for each DMU can also be determined.
In this paper, the best and the worst relative efficiencies are considered simultaneously.
To measure the overall performance of the DMUs, an integration of both the best and the worst relative efficiencies is considered in the form of an interval.
The advantage of this efficiency interval is that it provides all of the possible efficiency values and an expanded overview to the decision maker.
The proposed method determines the lower- and upper-bounds of the interval efficiency over a common set of weights.
To demonstrate the implementation of the introduced method, a numerical example is provided.
American Psychological Association (APA)
Rezaie, Vahideh& Ahmad, Tahir& Awang, Siti-Rahmah& Khanmohammadi, Masumeh& Maan, Normah. 2014. Ranking DMUs by Calculating the Interval Efficiency with a Common Set of Weights in DEA. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-464587
Modern Language Association (MLA)
Rezaie, Vahideh…[et al.]. Ranking DMUs by Calculating the Interval Efficiency with a Common Set of Weights in DEA. Journal of Applied Mathematics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-464587
American Medical Association (AMA)
Rezaie, Vahideh& Ahmad, Tahir& Awang, Siti-Rahmah& Khanmohammadi, Masumeh& Maan, Normah. Ranking DMUs by Calculating the Interval Efficiency with a Common Set of Weights in DEA. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-464587
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464587