A numerical solution for the air pollution control problem in 3D1

This paper studies the minimization of the cost of an air pollution control problem in a three-dimensional region where there exists several sources of pollution. Since the control area has an infinite set of points, the proposed model was formulated using semi-infinite programming (SIP). The proble...

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Autores:
Gomez, Alirio
Fedossova, Alina
Britto Agudelo, Rodrigo
Tipo de recurso:
Article of journal
Fecha de publicación:
2017
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/60426
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/60426
http://bdigital.unal.edu.co/58758/
Palabra clave:
62 Ingeniería y operaciones afines / Engineering
Programación semi-infinita
programación estocástica
control de contaminación del aire
solución numérica
región tridimensional (3D)
Semi-infinite programming
stochastic programming
air pollution control
numerical solution
three-dimensional region (3D)
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Gomez, Alirio81a033b5-e8b0-4897-9672-6b9598b76577300Fedossova, Alina898a5086-91eb-4617-9940-1f75c26b5987300Britto Agudelo, Rodrigod02e8e95-fc1a-4cfc-843f-5723f49063123002019-07-02T18:17:29Z2019-07-02T18:17:29Z2017-01-01ISSN: 2346-2183https://repositorio.unal.edu.co/handle/unal/60426http://bdigital.unal.edu.co/58758/This paper studies the minimization of the cost of an air pollution control problem in a three-dimensional region where there exists several sources of pollution. Since the control area has an infinite set of points, the proposed model was formulated using semi-infinite programming (SIP). The problem was solved by using a version of Volkov–Zavriev’s (1997) stochastic outer approximations method, which consists of an active search for relevant constraints based in quasi-optimal functions. The concentration of the contaminant at each point in the region is obtained from a Gaussian model. Three cases were analyzed taking into account the Colombian standard for sulfur dioxide. The hypothesis that polluting sources should not be established within cities was supported. Lastly, results indicate that solutions that cost the least allow the harmful effects caused by sources in a control area to be estimated.Este trabajo estudia la minimización del costo del problema de control de contaminación del aire, en una región tridimensional donde existen varias fuentes de contaminación. Dado que el área de control tiene un conjunto infinito de puntos, el modelo propuesto ha sido formulado utilizando programación semi-infinita (SIP). El problema se resolvió utilizando una versión del método estocástico de aproximaciones externas creado por Volkov – Zavriev (1997), que consiste en una búsqueda activa de restricciones relevantes basada en funciones cuasi-óptimas. La concentración del contaminante en cada punto de la región se obtiene de un modelo gaussiano. Se analizaron tres casos teniendo en cuenta la norma colombiana para dióxido de azufre. La hipótesis de que fuentes contaminantes no se establezcan dentro de las ciudades fue apoyada. Por último, los resultados indican que las soluciones de mínimo costo permiten estimar los efectos perjudiciales causados por fuentes en una zona de control.application/pdfspaUniversidad Nacional de Colombia (Sede Medellín). Facultad de Minas.https://revistas.unal.edu.co/index.php/dyna/article/view/53883Universidad Nacional de Colombia Revistas electrónicas UN DynaDynaGomez, Alirio and Fedossova, Alina and Britto Agudelo, Rodrigo (2017) A numerical solution for the air pollution control problem in 3D1. DYNA, 84 (200). pp. 342-350. ISSN 2346-218362 Ingeniería y operaciones afines / EngineeringProgramación semi-infinitaprogramación estocásticacontrol de contaminación del airesolución numéricaregión tridimensional (3D)Semi-infinite programmingstochastic programmingair pollution controlnumerical solutionthree-dimensional region (3D)A numerical solution for the air pollution control problem in 3D1Artículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL53883-322593-2-PB.pdfapplication/pdf741835https://repositorio.unal.edu.co/bitstream/unal/60426/1/53883-322593-2-PB.pdfac7ea029b24c07a7409fee3aaf1a9635MD51THUMBNAIL53883-322593-2-PB.pdf.jpg53883-322593-2-PB.pdf.jpgGenerated Thumbnailimage/jpeg9648https://repositorio.unal.edu.co/bitstream/unal/60426/2/53883-322593-2-PB.pdf.jpgd3f192b7fe6c73336914f1ba81de0d89MD52unal/60426oai:repositorio.unal.edu.co:unal/604262023-04-06 23:06:02.241Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv A numerical solution for the air pollution control problem in 3D1
title A numerical solution for the air pollution control problem in 3D1
spellingShingle A numerical solution for the air pollution control problem in 3D1
62 Ingeniería y operaciones afines / Engineering
Programación semi-infinita
programación estocástica
control de contaminación del aire
solución numérica
región tridimensional (3D)
Semi-infinite programming
stochastic programming
air pollution control
numerical solution
three-dimensional region (3D)
title_short A numerical solution for the air pollution control problem in 3D1
title_full A numerical solution for the air pollution control problem in 3D1
title_fullStr A numerical solution for the air pollution control problem in 3D1
title_full_unstemmed A numerical solution for the air pollution control problem in 3D1
title_sort A numerical solution for the air pollution control problem in 3D1
dc.creator.fl_str_mv Gomez, Alirio
Fedossova, Alina
Britto Agudelo, Rodrigo
dc.contributor.author.spa.fl_str_mv Gomez, Alirio
Fedossova, Alina
Britto Agudelo, Rodrigo
dc.subject.ddc.spa.fl_str_mv 62 Ingeniería y operaciones afines / Engineering
topic 62 Ingeniería y operaciones afines / Engineering
Programación semi-infinita
programación estocástica
control de contaminación del aire
solución numérica
región tridimensional (3D)
Semi-infinite programming
stochastic programming
air pollution control
numerical solution
three-dimensional region (3D)
dc.subject.proposal.spa.fl_str_mv Programación semi-infinita
programación estocástica
control de contaminación del aire
solución numérica
región tridimensional (3D)
Semi-infinite programming
stochastic programming
air pollution control
numerical solution
three-dimensional region (3D)
description This paper studies the minimization of the cost of an air pollution control problem in a three-dimensional region where there exists several sources of pollution. Since the control area has an infinite set of points, the proposed model was formulated using semi-infinite programming (SIP). The problem was solved by using a version of Volkov–Zavriev’s (1997) stochastic outer approximations method, which consists of an active search for relevant constraints based in quasi-optimal functions. The concentration of the contaminant at each point in the region is obtained from a Gaussian model. Three cases were analyzed taking into account the Colombian standard for sulfur dioxide. The hypothesis that polluting sources should not be established within cities was supported. Lastly, results indicate that solutions that cost the least allow the harmful effects caused by sources in a control area to be estimated.
publishDate 2017
dc.date.issued.spa.fl_str_mv 2017-01-01
dc.date.accessioned.spa.fl_str_mv 2019-07-02T18:17:29Z
dc.date.available.spa.fl_str_mv 2019-07-02T18:17:29Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.issn.spa.fl_str_mv ISSN: 2346-2183
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/60426
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/58758/
identifier_str_mv ISSN: 2346-2183
url https://repositorio.unal.edu.co/handle/unal/60426
http://bdigital.unal.edu.co/58758/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/dyna/article/view/53883
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Dyna
Dyna
dc.relation.references.spa.fl_str_mv Gomez, Alirio and Fedossova, Alina and Britto Agudelo, Rodrigo (2017) A numerical solution for the air pollution control problem in 3D1. DYNA, 84 (200). pp. 342-350. ISSN 2346-2183
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia (Sede Medellín). Facultad de Minas.
institution Universidad Nacional de Colombia
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