A multiobjective approach for non-discretionary variables in data envelopment analysis

Data Envelopment Analysis is a non-parametrical approach for efficiency evaluation of so-called DMUs (Decision Making Units) and takes into account multiple inputs and outputs. For each inefficient DMU, a target is provided which is constituted by the inputs or outputs levels that are to be attained...

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Main Authors: Lidia Angulo Meza, João Carlos Soares de Mello, Silvio Gomes Junior
Format: Article
Language:English
Published: Universidad Nacional de Colombia 2016-01-01
Series:Dyna
Subjects:
Online Access:https://revistas.unal.edu.co/index.php/dyna/article/view/45396
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author Lidia Angulo Meza
João Carlos Soares de Mello
Silvio Gomes Junior
author_facet Lidia Angulo Meza
João Carlos Soares de Mello
Silvio Gomes Junior
author_sort Lidia Angulo Meza
collection DOAJ
description Data Envelopment Analysis is a non-parametrical approach for efficiency evaluation of so-called DMUs (Decision Making Units) and takes into account multiple inputs and outputs. For each inefficient DMU, a target is provided which is constituted by the inputs or outputs levels that are to be attained for the inefficient DMU to become efficient. However, multiobjective models, known as MORO (Multiobjective Model for Ratio Optimization) provide a set of targets for inefficient DMU, which provides alternatives among which the decision-maker can choose. In this paper, we proposed an extension of the MORO models to take into account non-discretionary variables, i.e., variables that cannot be controlled. We present a numerical example to illustrate the proposed multiobjective model. We also discuss the characteristics of this model, as well as the advantages of offering a set of targets for the inefficient DMUs when there are non-discretionary variables in the data set.
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spelling doaj.art-c41d0cf2c01d4886b8c4528fcf0571932022-12-22T01:22:15ZengUniversidad Nacional de ColombiaDyna0012-73532346-21832016-01-018319591510.15446/dyna.v83n195.4539642484A multiobjective approach for non-discretionary variables in data envelopment analysisLidia Angulo Meza0João Carlos Soares de Mello1Silvio Gomes Junior2Universidade Federal FluminenseUniversidade Federal FluminenseUniversidade Estadual da Zona OesteData Envelopment Analysis is a non-parametrical approach for efficiency evaluation of so-called DMUs (Decision Making Units) and takes into account multiple inputs and outputs. For each inefficient DMU, a target is provided which is constituted by the inputs or outputs levels that are to be attained for the inefficient DMU to become efficient. However, multiobjective models, known as MORO (Multiobjective Model for Ratio Optimization) provide a set of targets for inefficient DMU, which provides alternatives among which the decision-maker can choose. In this paper, we proposed an extension of the MORO models to take into account non-discretionary variables, i.e., variables that cannot be controlled. We present a numerical example to illustrate the proposed multiobjective model. We also discuss the characteristics of this model, as well as the advantages of offering a set of targets for the inefficient DMUs when there are non-discretionary variables in the data set.https://revistas.unal.edu.co/index.php/dyna/article/view/45396Análisis Envolvente de DatosModelos MultiobjetivoVariables no-discrecionalesmodelos no-radiales.
spellingShingle Lidia Angulo Meza
João Carlos Soares de Mello
Silvio Gomes Junior
A multiobjective approach for non-discretionary variables in data envelopment analysis
Dyna
Análisis Envolvente de Datos
Modelos Multiobjetivo
Variables no-discrecionales
modelos no-radiales.
title A multiobjective approach for non-discretionary variables in data envelopment analysis
title_full A multiobjective approach for non-discretionary variables in data envelopment analysis
title_fullStr A multiobjective approach for non-discretionary variables in data envelopment analysis
title_full_unstemmed A multiobjective approach for non-discretionary variables in data envelopment analysis
title_short A multiobjective approach for non-discretionary variables in data envelopment analysis
title_sort multiobjective approach for non discretionary variables in data envelopment analysis
topic Análisis Envolvente de Datos
Modelos Multiobjetivo
Variables no-discrecionales
modelos no-radiales.
url https://revistas.unal.edu.co/index.php/dyna/article/view/45396
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