Construction of a smoothed DEA frontier.
It is known that the DEA multipliers model does not allow a unique solution for the weights. This is due to the absence of unique derivatives in the extreme-efficient points, which is a consequence of the piecewise linear nature of the frontier. In this paper we propose a method to solve this problem, consisting of changing the original DEA frontier for a new one, smooth (with continuous derivatives at every point) and closest to the original frontier. We present the theoretical development for the general case, exemplified with the particular case of the BCC model with one input and one output. The 3-dimensional problem is briefly discussed. Some uses of the model are summarised, and one of them, a new Cross-Evaluation model, is presented.
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Format: | Anais e Proceedings de eventos biblioteca |
Language: | English eng |
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2010-03-03
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Subjects: | Fronteira suavizada, Razões de compensação, Método de Ritz, |
Online Access: | http://www.alice.cnptia.embrapa.br/alice/handle/doc/659555 |
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dig-alice-doc-6595552017-08-16T02:10:40Z Construction of a smoothed DEA frontier. MELLO, J. C. C. B. S. DE LINS, M. P. E. GOMES, E. G. JOÃO CARLOS CORREIRA BAPTISTA SOARES DE MELLO, UFF; MARCOS PEREIRA ESTELLITA LINS, UFRJ; ELIANE GONÇALVES GOMES, CNPM. Fronteira suavizada Razões de compensação Método de Ritz It is known that the DEA multipliers model does not allow a unique solution for the weights. This is due to the absence of unique derivatives in the extreme-efficient points, which is a consequence of the piecewise linear nature of the frontier. In this paper we propose a method to solve this problem, consisting of changing the original DEA frontier for a new one, smooth (with continuous derivatives at every point) and closest to the original frontier. We present the theoretical development for the general case, exemplified with the particular case of the BCC model with one input and one output. The 3-dimensional problem is briefly discussed. Some uses of the model are summarised, and one of them, a new Cross-Evaluation model, is presented. (Edição especial de DEA e MCDA). 2015-03-31T05:55:08Z 2015-03-31T05:55:08Z 2010-03-03 2002 2015-03-31T05:55:08Z Anais e Proceedings de eventos Pesquisa Operacional, v. 22, n. 2, p. 183-201, 2002. http://www.alice.cnptia.embrapa.br/alice/handle/doc/659555 en eng openAccess |
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Fronteira suavizada Razões de compensação Método de Ritz Fronteira suavizada Razões de compensação Método de Ritz |
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Fronteira suavizada Razões de compensação Método de Ritz Fronteira suavizada Razões de compensação Método de Ritz MELLO, J. C. C. B. S. DE LINS, M. P. E. GOMES, E. G. Construction of a smoothed DEA frontier. |
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It is known that the DEA multipliers model does not allow a unique solution for the weights. This is due to the absence of unique derivatives in the extreme-efficient points, which is a consequence of the piecewise linear nature of the frontier. In this paper we propose a method to solve this problem, consisting of changing the original DEA frontier for a new one, smooth (with continuous derivatives at every point) and closest to the original frontier. We present the theoretical development for the general case, exemplified with the particular case of the BCC model with one input and one output. The 3-dimensional problem is briefly discussed. Some uses of the model are summarised, and one of them, a new Cross-Evaluation model, is presented. |
author2 |
JOÃO CARLOS CORREIRA BAPTISTA SOARES DE MELLO, UFF; MARCOS PEREIRA ESTELLITA LINS, UFRJ; ELIANE GONÇALVES GOMES, CNPM. |
author_facet |
JOÃO CARLOS CORREIRA BAPTISTA SOARES DE MELLO, UFF; MARCOS PEREIRA ESTELLITA LINS, UFRJ; ELIANE GONÇALVES GOMES, CNPM. MELLO, J. C. C. B. S. DE LINS, M. P. E. GOMES, E. G. |
format |
Anais e Proceedings de eventos |
topic_facet |
Fronteira suavizada Razões de compensação Método de Ritz |
author |
MELLO, J. C. C. B. S. DE LINS, M. P. E. GOMES, E. G. |
author_sort |
MELLO, J. C. C. B. S. DE |
title |
Construction of a smoothed DEA frontier. |
title_short |
Construction of a smoothed DEA frontier. |
title_full |
Construction of a smoothed DEA frontier. |
title_fullStr |
Construction of a smoothed DEA frontier. |
title_full_unstemmed |
Construction of a smoothed DEA frontier. |
title_sort |
construction of a smoothed dea frontier. |
publishDate |
2010-03-03 |
url |
http://www.alice.cnptia.embrapa.br/alice/handle/doc/659555 |
work_keys_str_mv |
AT mellojccbsde constructionofasmootheddeafrontier AT linsmpe constructionofasmootheddeafrontier AT gomeseg constructionofasmootheddeafrontier |
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1756020820239450112 |