Abstract
The occurrence of multiple optimal solutions is an important and interesting issue in data envelopment analysis (DEA), for it allows flexibility to estimate the optimal cross-efficiencies of all decision making units (DMUs). This paper uses the advantage of multiple optimal solutions, be in the cases of efficient and/or inefficient DMUs, to integrate both the first and second-order voices of all DMUs and proposes a most appreciative cross-efficiency DEA method. The paper deals with multiple optimal solution cases within the context of cross-efficiency models and suggest a model that is most appreciative for all DMUs being cross-evaluated by all others. The merits and appreciative superiority of the proposed method is proven theoretically; and illustrated practically through a ranking study chosen from the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 159-167 |
| Number of pages | 9 |
| Journal | Measurement: Journal of the International Measurement Confederation |
| Volume | 63 |
| DOIs | |
| Publication status | Published - 2015 |
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Keywords
- Cross efficiency
- Data envelopment analysis
- Maximum resonated appreciation
- Multiple optimal solutions
- Ranking
ASJC Scopus subject areas
- Statistics and Probability
- Education
- Condensed Matter Physics
- Applied Mathematics
Cite this
Cross-efficiency in DEA : A maximum resonated appreciative model. / Oral, Muhittin; Amin, Gholam R.; Oukil, Amar.
In: Measurement: Journal of the International Measurement Confederation, Vol. 63, 2015, p. 159-167.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Cross-efficiency in DEA
T2 - A maximum resonated appreciative model
AU - Oral, Muhittin
AU - Amin, Gholam R.
AU - Oukil, Amar
PY - 2015
Y1 - 2015
N2 - The occurrence of multiple optimal solutions is an important and interesting issue in data envelopment analysis (DEA), for it allows flexibility to estimate the optimal cross-efficiencies of all decision making units (DMUs). This paper uses the advantage of multiple optimal solutions, be in the cases of efficient and/or inefficient DMUs, to integrate both the first and second-order voices of all DMUs and proposes a most appreciative cross-efficiency DEA method. The paper deals with multiple optimal solution cases within the context of cross-efficiency models and suggest a model that is most appreciative for all DMUs being cross-evaluated by all others. The merits and appreciative superiority of the proposed method is proven theoretically; and illustrated practically through a ranking study chosen from the literature.
AB - The occurrence of multiple optimal solutions is an important and interesting issue in data envelopment analysis (DEA), for it allows flexibility to estimate the optimal cross-efficiencies of all decision making units (DMUs). This paper uses the advantage of multiple optimal solutions, be in the cases of efficient and/or inefficient DMUs, to integrate both the first and second-order voices of all DMUs and proposes a most appreciative cross-efficiency DEA method. The paper deals with multiple optimal solution cases within the context of cross-efficiency models and suggest a model that is most appreciative for all DMUs being cross-evaluated by all others. The merits and appreciative superiority of the proposed method is proven theoretically; and illustrated practically through a ranking study chosen from the literature.
KW - Cross efficiency
KW - Data envelopment analysis
KW - Maximum resonated appreciation
KW - Multiple optimal solutions
KW - Ranking
UR - http://www.scopus.com/inward/record.url?scp=84919916672&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84919916672&partnerID=8YFLogxK
U2 - 10.1016/j.measurement.2014.12.006
DO - 10.1016/j.measurement.2014.12.006
M3 - Article
VL - 63
SP - 159
EP - 167
JO - Measurement
JF - Measurement
SN - 1536-6367
ER -