Ranking using η-efficiency and relative size measures based on DEA
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRN |
Texto Completo: | https://repositorio.ufrn.br/handle/123456789/33019 |
Resumo: | In this paper, we propose a new way to define the size of organizations or Decision Making Units (DMUs) based on Data Envelopment Analysis (DEA). A great number of managerial decisions, social and economic activities, political analysis and engineering process include in their analysis some information about the size of corporations. Usually, organizations consider particular attributes such as revenues, employees, number of clients, profit and so forth to evaluate their sizes, which could result on an incomplete and/or partial size evaluation. Here, we investigate this question more deeply and propose a non-parametric approach for ranking size. To address this issue, we first construct a DEA super-efficiency target vector defined over an extended Technology set and find a common set of weights to determine new efficiencies and sizes, possibly greater than one. After, we define rotation and translation of DMUs and show how to construct a range area, associated to η-efficiencies and relative sizes that are less than or equal to one. Additionally, based on managerial decisions, we show how to use these ideas to achieve new η-efficiency and relative size goals for one or more DMUs in the set. We consider an empirical application to illustrate our approach on a dataset of international airlines and conclude the paper with some final remarks and future directions |
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Kanematsu, Simon YukiitiCarvalho, Ney Paranaguá deMartinho, Carlos A. J.Almeida, Mariana Rodrigues de2021-08-05T14:41:38Z2021-08-05T14:41:38Z2020-01KANEMATSU, Simon Y.; CARVALHO, Ney P.; MARTINHON, Carlos A.; ALMEIDA, Mariana R.. Ranking using η-efficiency and relative size measures based on DEA. Omega, [S.L.], v. 90, p. 101984, jan. 2020. Disponível em: https://www.sciencedirect.com/science/article/pii/S0305048318304304?via%3Dihub#!. Acesso em: 29 ab. 2021. https://doi.org/10.1016/j.omega.2018.10.014.0305-0483https://repositorio.ufrn.br/handle/123456789/3301910.1016/j.omega.2018.10.014ElsevierAttribution 3.0 Brazilhttp://creativecommons.org/licenses/by/3.0/br/info:eu-repo/semantics/openAccessTechnology setRange areaDEA super-efficiencyCommon set of weightsRelative sizeη-efficiencyRanking using η-efficiency and relative size measures based on DEAinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleIn this paper, we propose a new way to define the size of organizations or Decision Making Units (DMUs) based on Data Envelopment Analysis (DEA). A great number of managerial decisions, social and economic activities, political analysis and engineering process include in their analysis some information about the size of corporations. Usually, organizations consider particular attributes such as revenues, employees, number of clients, profit and so forth to evaluate their sizes, which could result on an incomplete and/or partial size evaluation. Here, we investigate this question more deeply and propose a non-parametric approach for ranking size. To address this issue, we first construct a DEA super-efficiency target vector defined over an extended Technology set and find a common set of weights to determine new efficiencies and sizes, possibly greater than one. After, we define rotation and translation of DMUs and show how to construct a range area, associated to η-efficiencies and relative sizes that are less than or equal to one. Additionally, based on managerial decisions, we show how to use these ideas to achieve new η-efficiency and relative size goals for one or more DMUs in the set. We consider an empirical application to illustrate our approach on a dataset of international airlines and conclude the paper with some final remarks and future directionsengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNORIGINALRankingUsingη-efficiency_Almeida_2020.pdfRankingUsingη-efficiency_Almeida_2020.pdfapplication/pdf1843782https://repositorio.ufrn.br/bitstream/123456789/33019/1/RankingUsing%ce%b7-efficiency_Almeida_2020.pdf3e15f4cf05507a28eecb7fc6160ce519MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8914https://repositorio.ufrn.br/bitstream/123456789/33019/2/license_rdf4d2950bda3d176f570a9f8b328dfbbefMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/33019/3/license.txte9597aa2854d128fd968be5edc8a28d9MD53123456789/330192021-08-05 11:41:39.237oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2021-08-05T14:41:39Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false |
dc.title.pt_BR.fl_str_mv |
Ranking using η-efficiency and relative size measures based on DEA |
title |
Ranking using η-efficiency and relative size measures based on DEA |
spellingShingle |
Ranking using η-efficiency and relative size measures based on DEA Kanematsu, Simon Yukiiti Technology set Range area DEA super-efficiency Common set of weights Relative size η-efficiency |
title_short |
Ranking using η-efficiency and relative size measures based on DEA |
title_full |
Ranking using η-efficiency and relative size measures based on DEA |
title_fullStr |
Ranking using η-efficiency and relative size measures based on DEA |
title_full_unstemmed |
Ranking using η-efficiency and relative size measures based on DEA |
title_sort |
Ranking using η-efficiency and relative size measures based on DEA |
author |
Kanematsu, Simon Yukiiti |
author_facet |
Kanematsu, Simon Yukiiti Carvalho, Ney Paranaguá de Martinho, Carlos A. J. Almeida, Mariana Rodrigues de |
author_role |
author |
author2 |
Carvalho, Ney Paranaguá de Martinho, Carlos A. J. Almeida, Mariana Rodrigues de |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Kanematsu, Simon Yukiiti Carvalho, Ney Paranaguá de Martinho, Carlos A. J. Almeida, Mariana Rodrigues de |
dc.subject.por.fl_str_mv |
Technology set Range area DEA super-efficiency Common set of weights Relative size η-efficiency |
topic |
Technology set Range area DEA super-efficiency Common set of weights Relative size η-efficiency |
description |
In this paper, we propose a new way to define the size of organizations or Decision Making Units (DMUs) based on Data Envelopment Analysis (DEA). A great number of managerial decisions, social and economic activities, political analysis and engineering process include in their analysis some information about the size of corporations. Usually, organizations consider particular attributes such as revenues, employees, number of clients, profit and so forth to evaluate their sizes, which could result on an incomplete and/or partial size evaluation. Here, we investigate this question more deeply and propose a non-parametric approach for ranking size. To address this issue, we first construct a DEA super-efficiency target vector defined over an extended Technology set and find a common set of weights to determine new efficiencies and sizes, possibly greater than one. After, we define rotation and translation of DMUs and show how to construct a range area, associated to η-efficiencies and relative sizes that are less than or equal to one. Additionally, based on managerial decisions, we show how to use these ideas to achieve new η-efficiency and relative size goals for one or more DMUs in the set. We consider an empirical application to illustrate our approach on a dataset of international airlines and conclude the paper with some final remarks and future directions |
publishDate |
2020 |
dc.date.issued.fl_str_mv |
2020-01 |
dc.date.accessioned.fl_str_mv |
2021-08-05T14:41:38Z |
dc.date.available.fl_str_mv |
2021-08-05T14:41:38Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
KANEMATSU, Simon Y.; CARVALHO, Ney P.; MARTINHON, Carlos A.; ALMEIDA, Mariana R.. Ranking using η-efficiency and relative size measures based on DEA. Omega, [S.L.], v. 90, p. 101984, jan. 2020. Disponível em: https://www.sciencedirect.com/science/article/pii/S0305048318304304?via%3Dihub#!. Acesso em: 29 ab. 2021. https://doi.org/10.1016/j.omega.2018.10.014. |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufrn.br/handle/123456789/33019 |
dc.identifier.issn.none.fl_str_mv |
0305-0483 |
dc.identifier.doi.none.fl_str_mv |
10.1016/j.omega.2018.10.014 |
identifier_str_mv |
KANEMATSU, Simon Y.; CARVALHO, Ney P.; MARTINHON, Carlos A.; ALMEIDA, Mariana R.. Ranking using η-efficiency and relative size measures based on DEA. Omega, [S.L.], v. 90, p. 101984, jan. 2020. Disponível em: https://www.sciencedirect.com/science/article/pii/S0305048318304304?via%3Dihub#!. Acesso em: 29 ab. 2021. https://doi.org/10.1016/j.omega.2018.10.014. 0305-0483 10.1016/j.omega.2018.10.014 |
url |
https://repositorio.ufrn.br/handle/123456789/33019 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
Attribution 3.0 Brazil http://creativecommons.org/licenses/by/3.0/br/ info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
Attribution 3.0 Brazil http://creativecommons.org/licenses/by/3.0/br/ |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Elsevier |
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Elsevier |
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reponame:Repositório Institucional da UFRN instname:Universidade Federal do Rio Grande do Norte (UFRN) instacron:UFRN |
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