Restricting virtual weights in data envelopment analysis

Detalhes bibliográficos
Autor(a) principal: Sarrico, C. S.
Data de Publicação: 2004
Outros Autores: Dyson, R. G.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/38120
Resumo: The consequences of the use of absolute weights restrictions (i.e. restricting the multipliers) on the efficiency score and targets of a DEA model have been explored elsewhere, the same is not true for the use of restrictions on the virtuals (i.e. the product of the input/output factor by its multiplier). In this paper, a reflection on the uses of virtual weights restrictions is presented. The reasons for using virtual weights restrictions instead of absolute weights restrictions, in particular cases, are explained. Following a critique of Wong and Beasley's [J. Oper. Res. Soc. 41 (1990) 829] first proposed method for constraining the virtuals in DEA, a new classification scheme for virtual weights restrictions is presented, which brings the concept of assurance regions into virtual weights restrictions. It is shown that the use of simple virtual restrictions and virtual assurance regions are preferable to the use of the more generally advocated WB's proportional virtual weights restrictions. In recognition of levels of decision making at the unit, and external to the unit, the use of the terms unit of assessment (UOA) and controller is proposed. It is concluded that the use of virtual assurance regions applying to the target UOA can be a natural representation of preference structures and translate established patterns between the input-output divide. Also, the meaning of the efficiency score and targets in this approach most approximate traditional DEA. Alternatives to using virtual weights restrictions are considered, namely using absolute weights restrictions with a virtual meaning. Finally, an empirical example is offered.
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spelling Restricting virtual weights in data envelopment analysisData envelopment analysisVirtualsWeights restrictionsAssurance regionsThe consequences of the use of absolute weights restrictions (i.e. restricting the multipliers) on the efficiency score and targets of a DEA model have been explored elsewhere, the same is not true for the use of restrictions on the virtuals (i.e. the product of the input/output factor by its multiplier). In this paper, a reflection on the uses of virtual weights restrictions is presented. The reasons for using virtual weights restrictions instead of absolute weights restrictions, in particular cases, are explained. Following a critique of Wong and Beasley's [J. Oper. Res. Soc. 41 (1990) 829] first proposed method for constraining the virtuals in DEA, a new classification scheme for virtual weights restrictions is presented, which brings the concept of assurance regions into virtual weights restrictions. It is shown that the use of simple virtual restrictions and virtual assurance regions are preferable to the use of the more generally advocated WB's proportional virtual weights restrictions. In recognition of levels of decision making at the unit, and external to the unit, the use of the terms unit of assessment (UOA) and controller is proposed. It is concluded that the use of virtual assurance regions applying to the target UOA can be a natural representation of preference structures and translate established patterns between the input-output divide. Also, the meaning of the efficiency score and targets in this approach most approximate traditional DEA. Alternatives to using virtual weights restrictions are considered, namely using absolute weights restrictions with a virtual meaning. Finally, an empirical example is offered.Elsevier2023-06-17T10:24:26Z2004-11-16T00:00:00Z2004-11-16info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/38120eng0377-221710.1016/S0377-2217(03)00402-8Sarrico, C. S.Dyson, R. G.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T12:08:05Zoai:ria.ua.pt:10773/38120Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:06:23.665464Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Restricting virtual weights in data envelopment analysis
title Restricting virtual weights in data envelopment analysis
spellingShingle Restricting virtual weights in data envelopment analysis
Sarrico, C. S.
Data envelopment analysis
Virtuals
Weights restrictions
Assurance regions
title_short Restricting virtual weights in data envelopment analysis
title_full Restricting virtual weights in data envelopment analysis
title_fullStr Restricting virtual weights in data envelopment analysis
title_full_unstemmed Restricting virtual weights in data envelopment analysis
title_sort Restricting virtual weights in data envelopment analysis
author Sarrico, C. S.
author_facet Sarrico, C. S.
Dyson, R. G.
author_role author
author2 Dyson, R. G.
author2_role author
dc.contributor.author.fl_str_mv Sarrico, C. S.
Dyson, R. G.
dc.subject.por.fl_str_mv Data envelopment analysis
Virtuals
Weights restrictions
Assurance regions
topic Data envelopment analysis
Virtuals
Weights restrictions
Assurance regions
description The consequences of the use of absolute weights restrictions (i.e. restricting the multipliers) on the efficiency score and targets of a DEA model have been explored elsewhere, the same is not true for the use of restrictions on the virtuals (i.e. the product of the input/output factor by its multiplier). In this paper, a reflection on the uses of virtual weights restrictions is presented. The reasons for using virtual weights restrictions instead of absolute weights restrictions, in particular cases, are explained. Following a critique of Wong and Beasley's [J. Oper. Res. Soc. 41 (1990) 829] first proposed method for constraining the virtuals in DEA, a new classification scheme for virtual weights restrictions is presented, which brings the concept of assurance regions into virtual weights restrictions. It is shown that the use of simple virtual restrictions and virtual assurance regions are preferable to the use of the more generally advocated WB's proportional virtual weights restrictions. In recognition of levels of decision making at the unit, and external to the unit, the use of the terms unit of assessment (UOA) and controller is proposed. It is concluded that the use of virtual assurance regions applying to the target UOA can be a natural representation of preference structures and translate established patterns between the input-output divide. Also, the meaning of the efficiency score and targets in this approach most approximate traditional DEA. Alternatives to using virtual weights restrictions are considered, namely using absolute weights restrictions with a virtual meaning. Finally, an empirical example is offered.
publishDate 2004
dc.date.none.fl_str_mv 2004-11-16T00:00:00Z
2004-11-16
2023-06-17T10:24:26Z
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10.1016/S0377-2217(03)00402-8
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