Solution of a simplified advertising model using optimal control techniques

This article presents a simplification to the distributed advertising model, formulating it as a family of optimal control problems with concentrated parameters. Two simplified variants are studied: linear and nonlinear. An analytical solution derived from the principle of maximum is provided for th...

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Autores:
Tuchnolobova, Ekaterina
Terletskii, Viktor
Vasilieva, O
Tipo de recurso:
Fecha de publicación:
2011
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
spa
OAI Identifier:
oai:repository.eafit.edu.co:10784/14476
Acceso en línea:
http://hdl.handle.net/10784/14476
Palabra clave:
Advertising Model
Optimal Control
Concentrated Parameters
Maximum Principle Of Pontryagin
Modelo De Publicidad
Control Óptimo
Parámetros Concentrados
Principio De Máximo De Pontryagin
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License
Copyright (c) 2011 Ekaterina Tuchnolobova, Viktor Terletskii, O Vasilieva
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spelling Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees2011-06-012019-11-22T18:55:38Z2011-06-012019-11-22T18:55:38Z2256-43141794-9165http://hdl.handle.net/10784/14476This article presents a simplification to the distributed advertising model, formulating it as a family of optimal control problems with concentrated parameters. Two simplified variants are studied: linear and nonlinear. An analytical solution derived from the principle of maximum is provided for the linear model. To solve the nonlinear model, a numerical algorithm is built based on two unconventional formulas for increasing the objective functional.En este artículo se presenta una simplificación al modelo distribuido de publicidad, formulándolo como una familia de problemas de control óptimo con parámetros concentrados. Se estudian dos variantes simplificadas: lineal y no lineal. Para el modelo lineal se proporciona una solución analítica derivada del principio de máximo. Para resolver el modelo no lineal se construye un algoritmo numérico basado en dos fórmulas no convencionales del incremento de la funcional objetivo.application/pdfspaUniversidad EAFIThttp://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/406http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/406Copyright (c) 2011 Ekaterina Tuchnolobova, Viktor Terletskii, O VasilievaAcceso abiertohttp://purl.org/coar/access_right/c_abf2instname:Universidad EAFITreponame:Repositorio Institucional Universidad EAFITIngeniería y Ciencia; Vol 7, No 13 (2011)Solution of a simplified advertising model using optimal control techniquesSolución de un modelo simplificado de publicidad usando técnicas de control óptimoarticleinfo:eu-repo/semantics/articlepublishedVersioninfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Advertising ModelOptimal ControlConcentrated ParametersMaximum Principle Of PontryaginModelo De PublicidadControl ÓptimoParámetros ConcentradosPrincipio De Máximo De PontryaginTuchnolobova, EkaterinaTerletskii, ViktorVasilieva, OUniversidad Estatal de Irkutsk, IrkutskUniversidad Estatal de Irkutsk, IrkutskUniversidad del ValleIngeniería y Ciencia713161183ing.cienc.THUMBNAILminaitura-ig_Mesa de trabajo 1.jpgminaitura-ig_Mesa de trabajo 1.jpgimage/jpeg265796https://repository.eafit.edu.co/bitstreams/c546781e-0e86-4949-a2b4-d72b9ad6693a/downloadda9b21a5c7e00c7f1127cef8e97035e0MD51ORIGINAL9.pdf9.pdfTexto completo PDFapplication/pdf443143https://repository.eafit.edu.co/bitstreams/bbc6921b-40a6-4307-8f3e-d9cb1132d17b/download7c86a48984ee919b58eedf20619d8cc4MD52articulo.htmlarticulo.htmlTexto completo HTMLtext/html373https://repository.eafit.edu.co/bitstreams/ce589d55-3ced-4dcf-8a56-94567c29b1c2/downloadf5f2f7596fc7edb2c3f0799aeb0aba0dMD5310784/14476oai:repository.eafit.edu.co:10784/144762020-03-02 22:18:06.072open.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co
dc.title.eng.fl_str_mv Solution of a simplified advertising model using optimal control techniques
dc.title.spa.fl_str_mv Solución de un modelo simplificado de publicidad usando técnicas de control óptimo
title Solution of a simplified advertising model using optimal control techniques
spellingShingle Solution of a simplified advertising model using optimal control techniques
Advertising Model
Optimal Control
Concentrated Parameters
Maximum Principle Of Pontryagin
Modelo De Publicidad
Control Óptimo
Parámetros Concentrados
Principio De Máximo De Pontryagin
title_short Solution of a simplified advertising model using optimal control techniques
title_full Solution of a simplified advertising model using optimal control techniques
title_fullStr Solution of a simplified advertising model using optimal control techniques
title_full_unstemmed Solution of a simplified advertising model using optimal control techniques
title_sort Solution of a simplified advertising model using optimal control techniques
dc.creator.fl_str_mv Tuchnolobova, Ekaterina
Terletskii, Viktor
Vasilieva, O
dc.contributor.author.spa.fl_str_mv Tuchnolobova, Ekaterina
Terletskii, Viktor
Vasilieva, O
dc.contributor.affiliation.spa.fl_str_mv Universidad Estatal de Irkutsk, Irkutsk
Universidad Estatal de Irkutsk, Irkutsk
Universidad del Valle
dc.subject.keyword.eng.fl_str_mv Advertising Model
Optimal Control
Concentrated Parameters
Maximum Principle Of Pontryagin
topic Advertising Model
Optimal Control
Concentrated Parameters
Maximum Principle Of Pontryagin
Modelo De Publicidad
Control Óptimo
Parámetros Concentrados
Principio De Máximo De Pontryagin
dc.subject.keyword.spa.fl_str_mv Modelo De Publicidad
Control Óptimo
Parámetros Concentrados
Principio De Máximo De Pontryagin
description This article presents a simplification to the distributed advertising model, formulating it as a family of optimal control problems with concentrated parameters. Two simplified variants are studied: linear and nonlinear. An analytical solution derived from the principle of maximum is provided for the linear model. To solve the nonlinear model, a numerical algorithm is built based on two unconventional formulas for increasing the objective functional.
publishDate 2011
dc.date.issued.none.fl_str_mv 2011-06-01
dc.date.available.none.fl_str_mv 2019-11-22T18:55:38Z
dc.date.accessioned.none.fl_str_mv 2019-11-22T18:55:38Z
dc.date.none.fl_str_mv 2011-06-01
dc.type.eng.fl_str_mv article
info:eu-repo/semantics/article
publishedVersion
info:eu-repo/semantics/publishedVersion
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http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.local.spa.fl_str_mv Artículo
status_str publishedVersion
dc.identifier.issn.none.fl_str_mv 2256-4314
1794-9165
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10784/14476
identifier_str_mv 2256-4314
1794-9165
url http://hdl.handle.net/10784/14476
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.isversionof.none.fl_str_mv http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/406
dc.relation.uri.none.fl_str_mv http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/406
dc.rights.eng.fl_str_mv Copyright (c) 2011 Ekaterina Tuchnolobova, Viktor Terletskii, O Vasilieva
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.local.spa.fl_str_mv Acceso abierto
rights_invalid_str_mv Copyright (c) 2011 Ekaterina Tuchnolobova, Viktor Terletskii, O Vasilieva
Acceso abierto
http://purl.org/coar/access_right/c_abf2
dc.format.none.fl_str_mv application/pdf
dc.coverage.spatial.eng.fl_str_mv Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees
dc.publisher.spa.fl_str_mv Universidad EAFIT
dc.source.none.fl_str_mv instname:Universidad EAFIT
reponame:Repositorio Institucional Universidad EAFIT
dc.source.spa.fl_str_mv Ingeniería y Ciencia; Vol 7, No 13 (2011)
instname_str Universidad EAFIT
institution Universidad EAFIT
reponame_str Repositorio Institucional Universidad EAFIT
collection Repositorio Institucional Universidad EAFIT
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