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Article: A semi-discrete model and its approach to a solution for a wide moving jam in traffic flow
Title | A semi-discrete model and its approach to a solution for a wide moving jam in traffic flow | ||||||||||||
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Authors | |||||||||||||
Keywords | Car-Following Model Lagrange Coordinates Semi-Discrete Model Wide Moving Jam | ||||||||||||
Issue Date | 2012 | ||||||||||||
Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/physa | ||||||||||||
Citation | Physica A: Statistical Mechanics And Its Applications, 2012, v. 391 n. 3, p. 456-463 How to Cite? | ||||||||||||
Abstract | This paper investigates the analytical and numerical solutions to wide moving jams in traffic flow. Under the framework of the Lagrange coordinates, a semi-discrete model and a continuum model correlate with each other, in which the former model approaches the latter as the increment ΔM in the former model vanishes. This implies that the solution to a wide moving jam in the latter model, which can be analytically derived using the known theory, can be conceivably taken as an approximation to that of the former model. These results were verified through numerical simulations. Because a detailed understanding of the traffic phase "wide moving jam" is very important for the further development of Kerner's three-phase traffic theory, this study helps to explain the empirical features of traffic breakdown and resulting congested traffic patterns that are observed in real traffic. © 2011 Elsevier B.V. All rights reserved. | ||||||||||||
Persistent Identifier | http://hdl.handle.net/10722/150618 | ||||||||||||
ISSN | 2023 Impact Factor: 2.8 2023 SCImago Journal Rankings: 0.661 | ||||||||||||
ISI Accession Number ID |
Funding Information: The study was jointly supported by grants from the National Natural Science Foundation of China (11072141), and the University Research Committee and HKU SPACE Research Fund (201007176059), and an Outstanding Researcher Award from the University of Hong Kong, and Shanghai Program for Innovative Research Teams in Universities. | ||||||||||||
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Grants |
DC Field | Value | Language |
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dc.contributor.author | Zhang, P | en_US |
dc.contributor.author | Wu, CX | en_US |
dc.contributor.author | Wong, SC | en_US |
dc.date.accessioned | 2012-06-26T06:06:10Z | - |
dc.date.available | 2012-06-26T06:06:10Z | - |
dc.date.issued | 2012 | en_US |
dc.identifier.citation | Physica A: Statistical Mechanics And Its Applications, 2012, v. 391 n. 3, p. 456-463 | en_US |
dc.identifier.issn | 0378-4371 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/150618 | - |
dc.description.abstract | This paper investigates the analytical and numerical solutions to wide moving jams in traffic flow. Under the framework of the Lagrange coordinates, a semi-discrete model and a continuum model correlate with each other, in which the former model approaches the latter as the increment ΔM in the former model vanishes. This implies that the solution to a wide moving jam in the latter model, which can be analytically derived using the known theory, can be conceivably taken as an approximation to that of the former model. These results were verified through numerical simulations. Because a detailed understanding of the traffic phase "wide moving jam" is very important for the further development of Kerner's three-phase traffic theory, this study helps to explain the empirical features of traffic breakdown and resulting congested traffic patterns that are observed in real traffic. © 2011 Elsevier B.V. All rights reserved. | en_US |
dc.language | eng | en_US |
dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/physa | en_US |
dc.relation.ispartof | Physica A: Statistical Mechanics and its Applications | en_US |
dc.rights | NOTICE: this is the author’s version of a work that was accepted for publication in Physica A: Statistical Mechanics And Its Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physica A: Statistical Mechanics And Its Applications, 2012, v. 391 n. 3, p. 456-463. DOI: 10.1016/j.physa.2011.08.035 | - |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.subject | Car-Following Model | en_US |
dc.subject | Lagrange Coordinates | en_US |
dc.subject | Semi-Discrete Model | en_US |
dc.subject | Wide Moving Jam | en_US |
dc.title | A semi-discrete model and its approach to a solution for a wide moving jam in traffic flow | 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 | postprint | en_US |
dc.identifier.doi | 10.1016/j.physa.2011.08.035 | en_US |
dc.identifier.scopus | eid_2-s2.0-80455177039 | en_US |
dc.identifier.hkuros | 212759 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-80455177039&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 391 | en_US |
dc.identifier.issue | 3 | en_US |
dc.identifier.spage | 456 | en_US |
dc.identifier.epage | 463 | en_US |
dc.identifier.isi | WOS:000297779500004 | - |
dc.publisher.place | Netherlands | en_US |
dc.relation.project | Development of dynamic macroscopic model for road networks | - |
dc.identifier.scopusauthorid | Zhang, P=7404158930 | en_US |
dc.identifier.scopusauthorid | Wu, CX=54399574900 | en_US |
dc.identifier.scopusauthorid | Wong, SC=24323361400 | en_US |
dc.identifier.issnl | 0378-4371 | - |