DEA nonradial efficiency based on vector properties
Classic data envelopment analysis (DEA) models determine the efficiency of productive units, called decision making units (DMUs). DEA uses as its methodology the equiproportional reduction of inputs or increase of outputs and the finding of a single target for each DMU. This target does not incorpor...
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| Veröffentlicht in: | International transactions in operational research 2013-05, Vol.20 (3), p.341-364 |
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| container_title | International transactions in operational research |
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| creator | Gomes Júnior, Silvio Figueiredo Soares de Mello, João Carlos Correia Baptista Meza, Lidia Angulo |
| description | Classic data envelopment analysis (DEA) models determine the efficiency of productive units, called decision making units (DMUs). DEA uses as its methodology the equiproportional reduction of inputs or increase of outputs and the finding of a single target for each DMU. This target does not incorporate the preference of the decision maker. Later works propose obtaining alternative targets based on nonradial projections on the efficiency frontier that are obtained through nonproportional variations of inputs or outputs. However, the efficiencies are not calculated for these alternative targets. This impedes a comparison among the DMUs. Thus, diverse nonradial efficiency indexes have been proposed based on mathematical averages or weighted averages that do not consider the vectorial characteristics of the efficiency. In this work, we present a nonradial efficiency index based on the initial concept of efficiency associated with each alternative (nonradial) target obtained through a multiobjective model of an inefficient DMU. |
| doi_str_mv | 10.1111/itor.12000 |
| format | Article |
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DEA uses as its methodology the equiproportional reduction of inputs or increase of outputs and the finding of a single target for each DMU. This target does not incorporate the preference of the decision maker. Later works propose obtaining alternative targets based on nonradial projections on the efficiency frontier that are obtained through nonproportional variations of inputs or outputs. However, the efficiencies are not calculated for these alternative targets. This impedes a comparison among the DMUs. Thus, diverse nonradial efficiency indexes have been proposed based on mathematical averages or weighted averages that do not consider the vectorial characteristics of the efficiency. In this work, we present a nonradial efficiency index based on the initial concept of efficiency associated with each alternative (nonradial) target obtained through a multiobjective model of an inefficient DMU.</description><identifier>ISSN: 0969-6016</identifier><identifier>EISSN: 1475-3995</identifier><identifier>DOI: 10.1111/itor.12000</identifier><language>eng</language><publisher>Oxford: Blackwell Publishing Ltd</publisher><subject>alternative targets ; Computational efficiency ; Computing time ; Data envelopment analysis ; Decision making ; Decision making units ; Efficiency ; Mathematical analysis ; Mathematical models ; nonradial projection ; Operations research ; Projection ; Studies ; vectorial efficiency ; Vectors (mathematics)</subject><ispartof>International transactions in operational research, 2013-05, Vol.20 (3), p.341-364</ispartof><rights>2013 The Authors. 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Trans. in Op. Res</addtitle><description>Classic data envelopment analysis (DEA) models determine the efficiency of productive units, called decision making units (DMUs). DEA uses as its methodology the equiproportional reduction of inputs or increase of outputs and the finding of a single target for each DMU. This target does not incorporate the preference of the decision maker. Later works propose obtaining alternative targets based on nonradial projections on the efficiency frontier that are obtained through nonproportional variations of inputs or outputs. However, the efficiencies are not calculated for these alternative targets. This impedes a comparison among the DMUs. Thus, diverse nonradial efficiency indexes have been proposed based on mathematical averages or weighted averages that do not consider the vectorial characteristics of the efficiency. In this work, we present a nonradial efficiency index based on the initial concept of efficiency associated with each alternative (nonradial) target obtained through a multiobjective model of an inefficient DMU.</description><subject>alternative targets</subject><subject>Computational efficiency</subject><subject>Computing time</subject><subject>Data envelopment analysis</subject><subject>Decision making</subject><subject>Decision making units</subject><subject>Efficiency</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>nonradial projection</subject><subject>Operations research</subject><subject>Projection</subject><subject>Studies</subject><subject>vectorial efficiency</subject><subject>Vectors (mathematics)</subject><issn>0969-6016</issn><issn>1475-3995</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNp90M1KAzEUBeAgCtbqxicYcCPC1Nz8TCbLUmtbKBakorgJmTSB1OlMTaZq396pVRcuzOZuvnNvOAidA-5B-659U4ceEIzxAeoAEzylUvJD1MEyk2mGITtGJzEuWwAcRAfRm2E_qeoq6IXXZWKd88bbymyTQke7SOoqebOm3ZqsQ722ofE2nqIjp8toz75nFz3cDueDcTqdjSaD_jQ1DFOc5hwLvXC0EASk4LgAog3hOSGWLBgzjjALOReFM0w4RogkkutCaNA0dzmnXXS539ueft3Y2KiVj8aWpa5svYkKMgGMYZLLll78oct6E6r2dwooAUYpJzt1tVcm1DEG69Q6-JUOWwVY7fpTu_7UV38thj1-96Xd_iPVZD67_8mk-4yPjf34zejwojJBBVePdyOVjZ9G2bPkakw_AeJPfxQ</recordid><startdate>201305</startdate><enddate>201305</enddate><creator>Gomes Júnior, Silvio Figueiredo</creator><creator>Soares de Mello, João Carlos Correia Baptista</creator><creator>Meza, Lidia Angulo</creator><general>Blackwell Publishing Ltd</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>201305</creationdate><title>DEA nonradial efficiency based on vector properties</title><author>Gomes Júnior, Silvio Figueiredo ; Soares de Mello, João Carlos Correia Baptista ; Meza, Lidia Angulo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c4030-8507adf3b7219750b12ac25822e2d44cf24e1857bfc47f4229295ab7a1a38f853</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>alternative targets</topic><topic>Computational efficiency</topic><topic>Computing time</topic><topic>Data envelopment analysis</topic><topic>Decision making</topic><topic>Decision making units</topic><topic>Efficiency</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>nonradial projection</topic><topic>Operations research</topic><topic>Projection</topic><topic>Studies</topic><topic>vectorial efficiency</topic><topic>Vectors (mathematics)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Gomes Júnior, Silvio Figueiredo</creatorcontrib><creatorcontrib>Soares de Mello, João Carlos Correia Baptista</creatorcontrib><creatorcontrib>Meza, Lidia Angulo</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>International transactions in operational research</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Gomes Júnior, Silvio Figueiredo</au><au>Soares de Mello, João Carlos Correia Baptista</au><au>Meza, Lidia Angulo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>DEA nonradial efficiency based on vector properties</atitle><jtitle>International transactions in operational research</jtitle><addtitle>Intl. 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| source | Wiley Online Library Journals Frontfile Complete; Business Source Complete |
| subjects | alternative targets Computational efficiency Computing time Data envelopment analysis Decision making Decision making units Efficiency Mathematical analysis Mathematical models nonradial projection Operations research Projection Studies vectorial efficiency Vectors (mathematics) |
| title | DEA nonradial efficiency based on vector properties |
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