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Article: A reactive dynamic continuum user equilibrium model for bi-directional pedestrian flows

TitleA reactive dynamic continuum user equilibrium model for bi-directional pedestrian flows
Authors
Keywords76M12
conservation law
density-velocity relationship
Eikonal-type equation
fast marching method
finite volume method
pedestrian flows
unstructured grids
Issue Date2009
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/wps/find/journaldescription.cws_home/708310/description#description
Citation
Acta Mathematica Scientia, 2009, v. 29 n. 6, p. 1541-1555 How to Cite?
AbstractIn this paper, a reactive dynamic user equilibrium model is extended to simulate two groups of pedestrians traveling on crossing paths in a continuous walking facility. Each group makes path choices to minimize the travel cost to its destination in a reactive manner based on instantaneous information. The model consists of a conservation law equation coupled with an Eikonal-type equation for each group. The velocity-density relationship of pedestrian movement is obtained via an experimental method. The model is solved using a finite volume method for the conservation law equation and a fast-marching method for the Eikonal-type equation on unstructured grids. The numerical results verify the rationality of the model and the validity of the numerical method. Based on this continuum model, a number of results, e.g., the formation of strips or moving clusters composed of pedestrians walking to the same destination, are also observed. © 2009 Wuhan Institute of Physics and Mathematics.
Persistent Identifierhttp://hdl.handle.net/10722/71690
ISSN
2015 Impact Factor: 0.557
2015 SCImago Journal Rankings: 0.615
References

 

DC FieldValueLanguage
dc.contributor.authorJiang, Yen_HK
dc.contributor.authorXiong, Ten_HK
dc.contributor.authorWong, SCen_HK
dc.contributor.authorShu, CWen_HK
dc.contributor.authorZhang, Men_HK
dc.contributor.authorZhang, Pen_HK
dc.contributor.authorLam, WHKen_HK
dc.date.accessioned2010-09-06T06:34:17Z-
dc.date.available2010-09-06T06:34:17Z-
dc.date.issued2009en_HK
dc.identifier.citationActa Mathematica Scientia, 2009, v. 29 n. 6, p. 1541-1555en_HK
dc.identifier.issn0252-9602en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71690-
dc.description.abstractIn this paper, a reactive dynamic user equilibrium model is extended to simulate two groups of pedestrians traveling on crossing paths in a continuous walking facility. Each group makes path choices to minimize the travel cost to its destination in a reactive manner based on instantaneous information. The model consists of a conservation law equation coupled with an Eikonal-type equation for each group. The velocity-density relationship of pedestrian movement is obtained via an experimental method. The model is solved using a finite volume method for the conservation law equation and a fast-marching method for the Eikonal-type equation on unstructured grids. The numerical results verify the rationality of the model and the validity of the numerical method. Based on this continuum model, a number of results, e.g., the formation of strips or moving clusters composed of pedestrians walking to the same destination, are also observed. © 2009 Wuhan Institute of Physics and Mathematics.en_HK
dc.languageengen_HK
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/wps/find/journaldescription.cws_home/708310/description#descriptionen_HK
dc.relation.ispartofActa Mathematica Scientiaen_HK
dc.subject76M12en_HK
dc.subjectconservation lawen_HK
dc.subjectdensity-velocity relationshipen_HK
dc.subjectEikonal-type equationen_HK
dc.subjectfast marching methoden_HK
dc.subjectfinite volume methoden_HK
dc.subjectpedestrian flowsen_HK
dc.subjectunstructured gridsen_HK
dc.titleA reactive dynamic continuum user equilibrium model for bi-directional pedestrian flowsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0252-9602&volume=29B&issue=6&spage=1541&epage=1555&date=2009&atitle=A+reactive+dynamic+continuum+user+equilibrium+model+for+bi-directional+pedestrian+flowsen_HK
dc.identifier.emailWong, SC:hhecwsc@hku.hken_HK
dc.identifier.authorityWong, SC=rp00191en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/S0252-9602(10)60002-1en_HK
dc.identifier.scopuseid_2-s2.0-73549114064en_HK
dc.identifier.hkuros168589en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-73549114064&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume29en_HK
dc.identifier.issue6en_HK
dc.identifier.spage1541en_HK
dc.identifier.epage1555en_HK
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridJiang, Y=35275312000en_HK
dc.identifier.scopusauthoridXiong, T=35276498600en_HK
dc.identifier.scopusauthoridWong, SC=24323361400en_HK
dc.identifier.scopusauthoridShu, CW=7202122336en_HK
dc.identifier.scopusauthoridZhang, M=7601556898en_HK
dc.identifier.scopusauthoridZhang, P=7404158930en_HK
dc.identifier.scopusauthoridLam, WHK=7203022024en_HK

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