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Article: Revisiting Hughes' dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm
Title | Revisiting Hughes' dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm | ||||||||||
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Authors | |||||||||||
Keywords | Continuum Modeling Eikonal Equation Pedestrian Flow Reactive Dynamic User Equilibrium Weno Scheme | ||||||||||
Issue Date | 2009 | ||||||||||
Publisher | Pergamon. 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? | ||||||||||
Abstract | In 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 Identifier | http://hdl.handle.net/10722/150475 | ||||||||||
ISSN | 2023 Impact Factor: 5.8 2023 SCImago Journal Rankings: 2.660 | ||||||||||
ISI Accession Number ID |
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 Field | Value | Language |
---|---|---|
dc.contributor.author | Huang, L | en_US |
dc.contributor.author | Wong, SC | en_US |
dc.contributor.author | Zhang, M | en_US |
dc.contributor.author | Shu, CW | en_US |
dc.contributor.author | Lam, WHK | en_US |
dc.date.accessioned | 2012-06-26T06:05:03Z | - |
dc.date.available | 2012-06-26T06:05:03Z | - |
dc.date.issued | 2009 | en_US |
dc.identifier.citation | Transportation Research Part B: Methodological, 2009, v. 43 n. 1, p. 127-141 | en_US |
dc.identifier.issn | 0191-2615 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/150475 | - |
dc.description.abstract | In 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.language | eng | en_US |
dc.publisher | Pergamon. The Journal's web site is located at http://www.elsevier.com/locate/trb | en_US |
dc.relation.ispartof | Transportation Research Part B: Methodological | en_US |
dc.subject | Continuum Modeling | en_US |
dc.subject | Eikonal Equation | en_US |
dc.subject | Pedestrian Flow | en_US |
dc.subject | Reactive Dynamic User Equilibrium | en_US |
dc.subject | Weno Scheme | en_US |
dc.title | Revisiting Hughes' dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm | en_US |
dc.type | Article | en_US |
dc.identifier.email | Wong, SC:hhecwsc@hku.hk | en_US |
dc.identifier.authority | Wong, SC=rp00191 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1016/j.trb.2008.06.003 | en_US |
dc.identifier.scopus | eid_2-s2.0-55049132227 | en_US |
dc.identifier.hkuros | 154632 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-55049132227&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 43 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.spage | 127 | en_US |
dc.identifier.epage | 141 | en_US |
dc.identifier.eissn | 1879-2367 | - |
dc.identifier.isi | WOS:000270655700009 | - |
dc.publisher.place | United Kingdom | en_US |
dc.identifier.scopusauthorid | Huang, L=8759532100 | en_US |
dc.identifier.scopusauthorid | Wong, SC=24323361400 | en_US |
dc.identifier.scopusauthorid | Zhang, M=7601556898 | en_US |
dc.identifier.scopusauthorid | Shu, CW=7202122336 | en_US |
dc.identifier.scopusauthorid | Lam, WHK=7203022024 | en_US |
dc.identifier.citeulike | 4631067 | - |
dc.identifier.issnl | 0191-2615 | - |