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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Main Authors: MELLO, J. C. C. B. S. DE, LINS, M. P. E., GOMES, E. G.
Other Authors: JOÃO CARLOS CORREIRA BAPTISTA SOARES DE MELLO, UFF; MARCOS PEREIRA ESTELLITA LINS, UFRJ; ELIANE GONÇALVES GOMES, CNPM.
Format: Anais e Proceedings de eventos biblioteca
Language:English
eng
Published: 2010-03-03
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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spelling 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
institution EMBRAPA
collection DSpace
country Brasil
countrycode BR
component Bibliográfico
access En linea
databasecode dig-alice
tag biblioteca
region America del Sur
libraryname Sistema de bibliotecas de EMBRAPA
language English
eng
topic Fronteira suavizada
Razões de compensação
Método de Ritz
Fronteira suavizada
Razões de compensação
Método de Ritz
spellingShingle 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.
description 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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