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Article: Revisiting Hughes' dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm

TitleRevisiting Hughes' dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm
Authors
KeywordsContinuum Modeling
Eikonal Equation
Pedestrian Flow
Reactive Dynamic User Equilibrium
Weno Scheme
Issue Date2009
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/trb
Citation
Transportation Research Part B: Methodological, 2009, v. 43 n. 1, p. 127-141 How to Cite?
AbstractIn this paper, we revisit Hughes' dynamic continuum model for pedestrian flow in a two-dimensional walking facility that is represented as a continuum within which pedestrians can freely move in any direction [Hughes, R.L., 2002. A continuum theory for the flow of pedestrians. Transportation Research Part B, 36 (6), 507-535]. We first reformulate Hughes' model, and then show that the pedestrian route choice strategy in Hughes' model satisfies the reactive dynamic user equilibrium principle in which a pedestrian chooses a route to minimize the instantaneous travel cost to the destination. In this model, the pedestrian demand is time varying. The pedestrian density, flux, and walking speed are governed by the conservation equation. A generalized cost function is considered. The reformulated problem is solved by the efficient weighted essentially non-oscillatory scheme for the conservation equation and the fast sweeping method for the Eikonal equation. A numerical example is used to demonstrate the effectiveness of the proposed solution procedure. © 2008 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/150475
ISSN
2014 Impact Factor: 2.952
2014 SCImago Journal Rankings: 2.819
ISI Accession Number ID
Funding AgencyGrant Number
Hong Kong Special Administrative Region, ChinaHKU 7176/07E
PolyU 5168/04E
Chinese Academy of Sciences2004-1-8
AROW911NF-04-1-0291
NSFDMS-0510345
Funding Information:

The research of the second author was supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (HKU 7176/07E). The research of the third author was supported by the Chinese Academy of Sciences Grant 2004-1-8. The research of the fourth author was supported by the Chinese Academy of Sciences during his visit to the University of Science and Technology of China (Grant 2004-1-8) and to the Institute of Computational Mathematics and Scientific/Engineering Computing. Additional support was provided by ARO Grant W911NF-04-1-0291 and NSF Grant DMS-0510345. The research of the fifth author was supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (PolyU 5168/04E).

References

 

DC FieldValueLanguage
dc.contributor.authorHuang, Len_US
dc.contributor.authorWong, SCen_US
dc.contributor.authorZhang, Men_US
dc.contributor.authorShu, CWen_US
dc.contributor.authorLam, WHKen_US
dc.date.accessioned2012-06-26T06:05:03Z-
dc.date.available2012-06-26T06:05:03Z-
dc.date.issued2009en_US
dc.identifier.citationTransportation Research Part B: Methodological, 2009, v. 43 n. 1, p. 127-141en_US
dc.identifier.issn0191-2615en_US
dc.identifier.urihttp://hdl.handle.net/10722/150475-
dc.description.abstractIn this paper, we revisit Hughes' dynamic continuum model for pedestrian flow in a two-dimensional walking facility that is represented as a continuum within which pedestrians can freely move in any direction [Hughes, R.L., 2002. A continuum theory for the flow of pedestrians. Transportation Research Part B, 36 (6), 507-535]. We first reformulate Hughes' model, and then show that the pedestrian route choice strategy in Hughes' model satisfies the reactive dynamic user equilibrium principle in which a pedestrian chooses a route to minimize the instantaneous travel cost to the destination. In this model, the pedestrian demand is time varying. The pedestrian density, flux, and walking speed are governed by the conservation equation. A generalized cost function is considered. The reformulated problem is solved by the efficient weighted essentially non-oscillatory scheme for the conservation equation and the fast sweeping method for the Eikonal equation. A numerical example is used to demonstrate the effectiveness of the proposed solution procedure. © 2008 Elsevier Ltd. All rights reserved.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/trben_US
dc.relation.ispartofTransportation Research Part B: Methodologicalen_US
dc.subjectContinuum Modelingen_US
dc.subjectEikonal Equationen_US
dc.subjectPedestrian Flowen_US
dc.subjectReactive Dynamic User Equilibriumen_US
dc.subjectWeno Schemeen_US
dc.titleRevisiting Hughes' dynamic continuum model for pedestrian flow and the development of an efficient solution algorithmen_US
dc.typeArticleen_US
dc.identifier.emailWong, SC:hhecwsc@hku.hken_US
dc.identifier.authorityWong, SC=rp00191en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/j.trb.2008.06.003en_US
dc.identifier.scopuseid_2-s2.0-55049132227en_US
dc.identifier.hkuros154632-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-55049132227&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume43en_US
dc.identifier.issue1en_US
dc.identifier.spage127en_US
dc.identifier.epage141en_US
dc.identifier.eissn1879-2367-
dc.identifier.isiWOS:000270655700009-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridHuang, L=8759532100en_US
dc.identifier.scopusauthoridWong, SC=24323361400en_US
dc.identifier.scopusauthoridZhang, M=7601556898en_US
dc.identifier.scopusauthoridShu, CW=7202122336en_US
dc.identifier.scopusauthoridLam, WHK=7203022024en_US
dc.identifier.citeulike4631067-

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