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Article: A reactive dynamic continuum user equilibrium model for bi-directional pedestrian flows
Title | A reactive dynamic continuum user equilibrium model for bi-directional pedestrian flows |
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Authors | |
Keywords | 76M12 conservation law density-velocity relationship Eikonal-type equation fast marching method finite volume method pedestrian flows unstructured grids |
Issue Date | 2009 |
Publisher | Elsevier 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? |
Abstract | In 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 Identifier | http://hdl.handle.net/10722/71690 |
ISSN | 2023 Impact Factor: 1.2 2023 SCImago Journal Rankings: 0.653 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Jiang, Y | en_HK |
dc.contributor.author | Xiong, T | en_HK |
dc.contributor.author | Wong, SC | en_HK |
dc.contributor.author | Shu, CW | en_HK |
dc.contributor.author | Zhang, M | en_HK |
dc.contributor.author | Zhang, P | en_HK |
dc.contributor.author | Lam, WHK | en_HK |
dc.date.accessioned | 2010-09-06T06:34:17Z | - |
dc.date.available | 2010-09-06T06:34:17Z | - |
dc.date.issued | 2009 | en_HK |
dc.identifier.citation | Acta Mathematica Scientia, 2009, v. 29 n. 6, p. 1541-1555 | en_HK |
dc.identifier.issn | 0252-9602 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/71690 | - |
dc.description.abstract | In 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.language | eng | en_HK |
dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/wps/find/journaldescription.cws_home/708310/description#description | en_HK |
dc.relation.ispartof | Acta Mathematica Scientia | en_HK |
dc.subject | 76M12 | en_HK |
dc.subject | conservation law | en_HK |
dc.subject | density-velocity relationship | en_HK |
dc.subject | Eikonal-type equation | en_HK |
dc.subject | fast marching method | en_HK |
dc.subject | finite volume method | en_HK |
dc.subject | pedestrian flows | en_HK |
dc.subject | unstructured grids | en_HK |
dc.title | A reactive dynamic continuum user equilibrium model for bi-directional pedestrian flows | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://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+flows | en_HK |
dc.identifier.email | Wong, SC:hhecwsc@hku.hk | en_HK |
dc.identifier.authority | Wong, SC=rp00191 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/S0252-9602(10)60002-1 | en_HK |
dc.identifier.scopus | eid_2-s2.0-73549114064 | en_HK |
dc.identifier.hkuros | 168589 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-73549114064&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 29 | en_HK |
dc.identifier.issue | 6 | en_HK |
dc.identifier.spage | 1541 | en_HK |
dc.identifier.epage | 1555 | en_HK |
dc.identifier.isi | WOS:000273575300003 | - |
dc.publisher.place | Netherlands | en_HK |
dc.identifier.scopusauthorid | Jiang, Y=35275312000 | en_HK |
dc.identifier.scopusauthorid | Xiong, T=35276498600 | en_HK |
dc.identifier.scopusauthorid | Wong, SC=24323361400 | en_HK |
dc.identifier.scopusauthorid | Shu, CW=7202122336 | en_HK |
dc.identifier.scopusauthorid | Zhang, M=7601556898 | en_HK |
dc.identifier.scopusauthorid | Zhang, P=7404158930 | en_HK |
dc.identifier.scopusauthorid | Lam, WHK=7203022024 | en_HK |
dc.identifier.issnl | 0252-9602 | - |