The determination of the least distance to the strongly efficient frontier Data Envelopment Analysis oriented models: Modelling and computational aspects

Determining the least distance to the efficient frontier for estimating technical inefficiency, with the consequent determination of closest targets, has been one of the relevant issues in recent Data Envelopment Analysis literature. This new paradigm contrasts with traditional approaches, which yie...

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Detalles Bibliográficos
Autores: Aparicio, Juan, Cordero, Jose M., Pastor Ciurana, Jesús Tadeo
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universidad Miguel Hernández de Elche
Repositorio:REDIUMH. Depósito Digital de la UMH
OAI Identifier:oai:dspace.umh.es:11000/4926
Acceso en línea:http://hdl.handle.net/11000/4926
Access Level:acceso abierto
Palabra clave:Data Envelopment Analysis
least distance
oriented models
517 - Análisis matemático
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spelling The determination of the least distance to the strongly efficient frontier Data Envelopment Analysis oriented models: Modelling and computational aspectsAparicio, JuanCordero, Jose M.Pastor Ciurana, Jesús TadeoData Envelopment Analysisleast distanceoriented models517 - Análisis matemáticoDetermining the least distance to the efficient frontier for estimating technical inefficiency, with the consequent determination of closest targets, has been one of the relevant issues in recent Data Envelopment Analysis literature. This new paradigm contrasts with traditional approaches, which yield furthest targets. In this respect, some techniques have been proposed in order to implement the new paradigm. A group of these techniques is based on identifying all the efficient faces of the polyhedral production possibility set and, therefore, is associated with the resolution of a NP-hard problem. In contrast, a second group proposes different models and particular algorithms to solve the problem avoiding the explicit identification of all these faces. These techniques have been applied more or less successfully. Nonetheless, the new paradigm is still unsatisfactory and incomplete to a certain extent. One of these challenges is that related to measuring technical inefficiency in the context of oriented models, i.e., models that aim at changing inputs or outputs but not both. In this paper, we show that existing specific techniques for determining the least distance without identifying explicitly the frontier structure for graph measures, which change inputs and outputs at the same time, do not work for oriented models. Consequently, a new methodology for satisfactorily implementing these situations is proposed. Finally, the new approach is empirically checked by using a recent PISA database consisting of 902 schoolsWould like to express their gratitude to the Spanish Ministry for Economy and Competitiveness for supporting this research through grant MTM2013-43903-P and Jose M. Cordero also acknowledges the sup- port from the same institution through grant ECO2014-53702-P.Departamentos de la UMH::Estadística, Matemáticas e Informática2018201820162018info:eu-repo/semantics/articleapplication/pdf10application/pdfhttp://hdl.handle.net/11000/4926reponame:REDIUMH. Depósito Digital de la UMHinstname:Universidad Miguel Hernández de ElcheIngléshttps://doi.org/10.1016/j.omega.2016.09.008info:eu-repo/semantics/openAccessoai:dspace.umh.es:11000/49262026-05-27T13:36:21Z
dc.title.none.fl_str_mv The determination of the least distance to the strongly efficient frontier Data Envelopment Analysis oriented models: Modelling and computational aspects
title The determination of the least distance to the strongly efficient frontier Data Envelopment Analysis oriented models: Modelling and computational aspects
spellingShingle The determination of the least distance to the strongly efficient frontier Data Envelopment Analysis oriented models: Modelling and computational aspects
Aparicio, Juan
Data Envelopment Analysis
least distance
oriented models
517 - Análisis matemático
title_short The determination of the least distance to the strongly efficient frontier Data Envelopment Analysis oriented models: Modelling and computational aspects
title_full The determination of the least distance to the strongly efficient frontier Data Envelopment Analysis oriented models: Modelling and computational aspects
title_fullStr The determination of the least distance to the strongly efficient frontier Data Envelopment Analysis oriented models: Modelling and computational aspects
title_full_unstemmed The determination of the least distance to the strongly efficient frontier Data Envelopment Analysis oriented models: Modelling and computational aspects
title_sort The determination of the least distance to the strongly efficient frontier Data Envelopment Analysis oriented models: Modelling and computational aspects
dc.creator.none.fl_str_mv Aparicio, Juan
Cordero, Jose M.
Pastor Ciurana, Jesús Tadeo
author Aparicio, Juan
author_facet Aparicio, Juan
Cordero, Jose M.
Pastor Ciurana, Jesús Tadeo
author_role author
author2 Cordero, Jose M.
Pastor Ciurana, Jesús Tadeo
author2_role author
author
dc.contributor.none.fl_str_mv Departamentos de la UMH::Estadística, Matemáticas e Informática
dc.subject.none.fl_str_mv Data Envelopment Analysis
least distance
oriented models
517 - Análisis matemático
topic Data Envelopment Analysis
least distance
oriented models
517 - Análisis matemático
description Determining the least distance to the efficient frontier for estimating technical inefficiency, with the consequent determination of closest targets, has been one of the relevant issues in recent Data Envelopment Analysis literature. This new paradigm contrasts with traditional approaches, which yield furthest targets. In this respect, some techniques have been proposed in order to implement the new paradigm. A group of these techniques is based on identifying all the efficient faces of the polyhedral production possibility set and, therefore, is associated with the resolution of a NP-hard problem. In contrast, a second group proposes different models and particular algorithms to solve the problem avoiding the explicit identification of all these faces. These techniques have been applied more or less successfully. Nonetheless, the new paradigm is still unsatisfactory and incomplete to a certain extent. One of these challenges is that related to measuring technical inefficiency in the context of oriented models, i.e., models that aim at changing inputs or outputs but not both. In this paper, we show that existing specific techniques for determining the least distance without identifying explicitly the frontier structure for graph measures, which change inputs and outputs at the same time, do not work for oriented models. Consequently, a new methodology for satisfactorily implementing these situations is proposed. Finally, the new approach is empirically checked by using a recent PISA database consisting of 902 schools
publishDate 2016
dc.date.none.fl_str_mv 2016
2018
2018
2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/11000/4926
url http://hdl.handle.net/11000/4926
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://doi.org/10.1016/j.omega.2016.09.008
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
10
application/pdf
dc.source.none.fl_str_mv reponame:REDIUMH. Depósito Digital de la UMH
instname:Universidad Miguel Hernández de Elche
instname_str Universidad Miguel Hernández de Elche
reponame_str REDIUMH. Depósito Digital de la UMH
collection REDIUMH. Depósito Digital de la UMH
repository.name.fl_str_mv
repository.mail.fl_str_mv
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