A kinetic theory approach to the dynamics of crowd evacuation from bounded domains

Autores
Agnelli, Juan Pablo; Colasuonno, F.; Knopoff, Damián Alejandro
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A mathematical model of the evacuation of a crowd from bounded domains is derived by a hybrid approach with kinetic and macro-features. Interactions at the micro-scale, which modify the velocity direction, are modeled by using tools of game theory and are transferred to the dynamics of collective behaviors. The velocity modulus is assumed to depend on the local density. The modeling approach considers dynamics caused by interactions of pedestrians not only with all the other pedestrians, but also with the geometry of the domain, such as walls and exits. Interactions with the boundary of the domain are non-local and described by games. Numerical simulations are developed to study evacuation time depending on the size of the exit zone, on the initial distribution of the crowd and on a parameter which weighs the unconscious attraction of the stream and the search for less crowded walking directions.
Fil: Agnelli, Juan Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Fil: Colasuonno, F.. Politecnico di Torino; Italia
Fil: Knopoff, Damián Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Materia
Complex Systems
Crowd Dynamics
Hybrid Model
Nonlinear Interactions
Stochastic Games
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/37968
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/37968
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling A kinetic theory approach to the dynamics of crowd evacuation from bounded domainsAgnelli, Juan PabloColasuonno, F.Knopoff, Damián AlejandroComplex SystemsCrowd DynamicsHybrid ModelNonlinear InteractionsStochastic Gameshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1A mathematical model of the evacuation of a crowd from bounded domains is derived by a hybrid approach with kinetic and macro-features. Interactions at the micro-scale, which modify the velocity direction, are modeled by using tools of game theory and are transferred to the dynamics of collective behaviors. The velocity modulus is assumed to depend on the local density. The modeling approach considers dynamics caused by interactions of pedestrians not only with all the other pedestrians, but also with the geometry of the domain, such as walls and exits. Interactions with the boundary of the domain are non-local and described by games. Numerical simulations are developed to study evacuation time depending on the size of the exit zone, on the initial distribution of the crowd and on a parameter which weighs the unconscious attraction of the stream and the search for less crowded walking directions.Fil: Agnelli, Juan Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaFil: Colasuonno, F.. Politecnico di Torino; ItaliaFil: Knopoff, Damián Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaWorld Scientific2015-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/37968Agnelli, Juan Pablo; Colasuonno, F.; Knopoff, Damián Alejandro; A kinetic theory approach to the dynamics of crowd evacuation from bounded domains; World Scientific; Mathematical Models And Methods In Applied Sciences; 25; 1; 1-2015; 109-1290218-20251793-6314CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1142/S0218202515500049info:eu-repo/semantics/altIdentifier/url/http://www.worldscientific.com/doi/abs/10.1142/S0218202515500049info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-17T10:46:48Zoai:ri.conicet.gov.ar:11336/37968instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-17 10:46:48.491CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A kinetic theory approach to the dynamics of crowd evacuation from bounded domains
title A kinetic theory approach to the dynamics of crowd evacuation from bounded domains
spellingShingle A kinetic theory approach to the dynamics of crowd evacuation from bounded domains
Agnelli, Juan Pablo
Complex Systems
Crowd Dynamics
Hybrid Model
Nonlinear Interactions
Stochastic Games
title_short A kinetic theory approach to the dynamics of crowd evacuation from bounded domains
title_full A kinetic theory approach to the dynamics of crowd evacuation from bounded domains
title_fullStr A kinetic theory approach to the dynamics of crowd evacuation from bounded domains
title_full_unstemmed A kinetic theory approach to the dynamics of crowd evacuation from bounded domains
title_sort A kinetic theory approach to the dynamics of crowd evacuation from bounded domains
dc.creator.none.fl_str_mv Agnelli, Juan Pablo
Colasuonno, F.
Knopoff, Damián Alejandro
author Agnelli, Juan Pablo
author_facet Agnelli, Juan Pablo
Colasuonno, F.
Knopoff, Damián Alejandro
author_role author
author2 Colasuonno, F.
Knopoff, Damián Alejandro
author2_role author
author
dc.subject.none.fl_str_mv Complex Systems
Crowd Dynamics
Hybrid Model
Nonlinear Interactions
Stochastic Games
topic Complex Systems
Crowd Dynamics
Hybrid Model
Nonlinear Interactions
Stochastic Games
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A mathematical model of the evacuation of a crowd from bounded domains is derived by a hybrid approach with kinetic and macro-features. Interactions at the micro-scale, which modify the velocity direction, are modeled by using tools of game theory and are transferred to the dynamics of collective behaviors. The velocity modulus is assumed to depend on the local density. The modeling approach considers dynamics caused by interactions of pedestrians not only with all the other pedestrians, but also with the geometry of the domain, such as walls and exits. Interactions with the boundary of the domain are non-local and described by games. Numerical simulations are developed to study evacuation time depending on the size of the exit zone, on the initial distribution of the crowd and on a parameter which weighs the unconscious attraction of the stream and the search for less crowded walking directions.
Fil: Agnelli, Juan Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Fil: Colasuonno, F.. Politecnico di Torino; Italia
Fil: Knopoff, Damián Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
description A mathematical model of the evacuation of a crowd from bounded domains is derived by a hybrid approach with kinetic and macro-features. Interactions at the micro-scale, which modify the velocity direction, are modeled by using tools of game theory and are transferred to the dynamics of collective behaviors. The velocity modulus is assumed to depend on the local density. The modeling approach considers dynamics caused by interactions of pedestrians not only with all the other pedestrians, but also with the geometry of the domain, such as walls and exits. Interactions with the boundary of the domain are non-local and described by games. Numerical simulations are developed to study evacuation time depending on the size of the exit zone, on the initial distribution of the crowd and on a parameter which weighs the unconscious attraction of the stream and the search for less crowded walking directions.
publishDate 2015
dc.date.none.fl_str_mv 2015-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/37968
Agnelli, Juan Pablo; Colasuonno, F.; Knopoff, Damián Alejandro; A kinetic theory approach to the dynamics of crowd evacuation from bounded domains; World Scientific; Mathematical Models And Methods In Applied Sciences; 25; 1; 1-2015; 109-129
0218-2025
1793-6314
CONICET Digital
CONICET
url http://hdl.handle.net/11336/37968
identifier_str_mv Agnelli, Juan Pablo; Colasuonno, F.; Knopoff, Damián Alejandro; A kinetic theory approach to the dynamics of crowd evacuation from bounded domains; World Scientific; Mathematical Models And Methods In Applied Sciences; 25; 1; 1-2015; 109-129
0218-2025
1793-6314
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1142/S0218202515500049
info:eu-repo/semantics/altIdentifier/url/http://www.worldscientific.com/doi/abs/10.1142/S0218202515500049
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv World Scientific
publisher.none.fl_str_mv World Scientific
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1843606042991132672
score 13.001348

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