Some remarks on the two-level DEA model
The two-level DEA model was introduced to increase the discriminational power of Data Envelopment Analysis (DEA) models. This nonlinear model was presented by Meng et al. (2008) [3], and then converted into a linear model by Kao (2008) [4]. In this paper two subjects will be discussed: first, we sho...
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| Published in | Applied mathematics letters Vol. 24; no. 6; pp. 969 - 974 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
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Kidlington
Elsevier Ltd
01.06.2011
Elsevier |
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| ISSN | 0893-9659 1873-5452 |
| DOI | 10.1016/j.aml.2011.01.007 |
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| Abstract | The two-level DEA model was introduced to increase the discriminational power of Data Envelopment Analysis (DEA) models. This nonlinear model was presented by Meng et al. (2008)
[3], and then converted into a linear model by Kao (2008)
[4].
In this paper two subjects will be discussed: first, we show that the two-level DEA model is a special case of DEA models where weight restrictions are applied. Then, we express that the nonlinear model is equivalent to the conventional DEA model. |
|---|---|
| AbstractList | The two-level DEA model was introduced to increase the discriminational power of Data Envelopment Analysis (DEA) models. This nonlinear model was presented by Meng et al. (2008) [3], and then converted into a linear model by Kao (2008) [4]. In this paper two subjects will be discussed: first, we show that the two-level DEA model is a special case of DEA models where weight restrictions are applied. Then, we express that the nonlinear model is equivalent to the conventional DEA model. The two-level DEA model was introduced to increase the discriminational power of Data Envelopment Analysis (DEA) models. This nonlinear model was presented by Meng et al. (2008) [3], and then converted into a linear model by Kao (2008) [4]. In this paper two subjects will be discussed: first, we show that the two-level DEA model is a special case of DEA models where weight restrictions are applied. Then, we express that the nonlinear model is equivalent to the conventional DEA model. |
| Author | Davoodi, A. Zhiani Rezai, H. |
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| Cites_doi | 10.1016/0377-2217(78)90138-8 10.1016/j.omega.2007.12.005 10.1287/mnsc.30.9.1078 10.1016/j.omega.2008.01.002 |
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| Keywords | Two-level DEA model Weight restrictions Data Envelopment Analysis Data analysis Applied mathematics Non linear model Linear model |
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| References | Banker, Charnes, Cooper (br000010) 1984; 30 Meng, Zhang, Qi, Liu (br000015) 2008; 36 Kao (br000020) 2008; 36 Charnes, Cooper, Rhodes (br000005) 1978; 2 Cooper, Seiford, Tone (br000025) 1999 Cooper (10.1016/j.aml.2011.01.007_br000025) 1999 Banker (10.1016/j.aml.2011.01.007_br000010) 1984; 30 Meng (10.1016/j.aml.2011.01.007_br000015) 2008; 36 Charnes (10.1016/j.aml.2011.01.007_br000005) 1978; 2 Kao (10.1016/j.aml.2011.01.007_br000020) 2008; 36 |
| References_xml | – volume: 2 start-page: 429 year: 1978 end-page: 444 ident: br000005 article-title: Measuring the efficiency of decision making units publication-title: European Journal of Operational Research – volume: 36 start-page: 950 year: 2008 end-page: 957 ident: br000015 article-title: Two-level DEA approaches in research evaluation publication-title: Omega, International Journal of Management Science – volume: 36 start-page: 958 year: 2008 end-page: 962 ident: br000020 article-title: A linear formation of the two-level DEA model publication-title: Omega, International Journal of Management Science – year: 1999 ident: br000025 article-title: Data envelopment analysis: a comprehensive text with models publication-title: Applications References and DEA-Solver Software – volume: 30 start-page: 1078 year: 1984 end-page: 1092 ident: br000010 article-title: Some models for estimating technical and scale efficiencies in data envelopment analysis publication-title: Management Science – year: 1999 ident: 10.1016/j.aml.2011.01.007_br000025 article-title: Data envelopment analysis: a comprehensive text with models – volume: 2 start-page: 429 year: 1978 ident: 10.1016/j.aml.2011.01.007_br000005 article-title: Measuring the efficiency of decision making units publication-title: European Journal of Operational Research doi: 10.1016/0377-2217(78)90138-8 – volume: 36 start-page: 950 year: 2008 ident: 10.1016/j.aml.2011.01.007_br000015 article-title: Two-level DEA approaches in research evaluation publication-title: Omega, International Journal of Management Science doi: 10.1016/j.omega.2007.12.005 – volume: 30 start-page: 1078 year: 1984 ident: 10.1016/j.aml.2011.01.007_br000010 article-title: Some models for estimating technical and scale efficiencies in data envelopment analysis publication-title: Management Science doi: 10.1287/mnsc.30.9.1078 – volume: 36 start-page: 958 year: 2008 ident: 10.1016/j.aml.2011.01.007_br000020 article-title: A linear formation of the two-level DEA model publication-title: Omega, International Journal of Management Science doi: 10.1016/j.omega.2008.01.002 |
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| SubjectTerms | Constrictions Data Envelopment Analysis Equivalence Exact sciences and technology Mathematical analysis Mathematical models Mathematics Nonlinearity Numerical analysis Numerical analysis. Scientific computation Operations research Sciences and techniques of general use Two-level DEA model Weight restrictions |
| Title | Some remarks on the two-level DEA model |
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