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Article: Admissibility of a wide cluster solution in "anisotropic" higher-order traffic flow models
Title | Admissibility of a wide cluster solution in "anisotropic" higher-order traffic flow models |
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Authors | |
Keywords | Aw And Rascle Model Hyperbolic Conservation Law Rankine-Hugoniot Condition Shock Wave Wide Cluster |
Issue Date | 2007 |
Publisher | Society for Industrial and Applied Mathematics. The Journal's web site is located at http://www.siam.org/journals/siap.php |
Citation | SIAM Journal On Applied Mathematics, 2007, v. 68 n. 2, p. 562-573 How to Cite? |
Abstract | We analytically investigate a wide cluster solution and show that it is not admitted in some of the traffic flow models in the literature. For those traffic flow models that admit the wide cluster solution, the relationship between two important control parameters and the critical densities that divide an equilibrium solution into stable and unstable regions is thoroughly discussed in detail. We find that such wide clusters exist with a free traffic density in an unstable region, and with one or three critical densities. These results are different from the cases in the well-known higher-order traffic flow models of Payne and Whitham [H. J. Payne, "Models of freeway traffic and control," in Mathematical Models of Public Systems, A. G. Bekey, ed., Simulation Council Proc. Ser. 1, La Jolla, CA, 1971, pp. 51-61], [G. B. Whitham, Linear and Nonlinear Waves, John Wiley and Sons, New York, 1974], Kühne [R. D. Kühne, "Macroscopic freeway model for dense traffic-stop-start waves and incident detection," in Proceedings of the 9th International Symposium on Transportation and Traffic Theory, J. Volmuller and R. Hamerslag, eds., VNU Science Press, Utrecht, 1984, pp. 21-42], and Kerner and Konhäuser [B. S. Kerner and P. Konhäuser, Phys. Rev. E (3), 50 (1994), pp. 54-83]. © 2007 Society for Industrial and Applied Mathematics. |
Persistent Identifier | http://hdl.handle.net/10722/150450 |
ISSN | 2023 Impact Factor: 1.9 2023 SCImago Journal Rankings: 0.939 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Xu, RY | en_US |
dc.contributor.author | Zhang, P | en_US |
dc.contributor.author | Dai, SQ | en_US |
dc.contributor.author | Wong, SC | en_US |
dc.date.accessioned | 2012-06-26T06:04:52Z | - |
dc.date.available | 2012-06-26T06:04:52Z | - |
dc.date.issued | 2007 | en_US |
dc.identifier.citation | SIAM Journal On Applied Mathematics, 2007, v. 68 n. 2, p. 562-573 | en_US |
dc.identifier.issn | 0036-1399 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/150450 | - |
dc.description.abstract | We analytically investigate a wide cluster solution and show that it is not admitted in some of the traffic flow models in the literature. For those traffic flow models that admit the wide cluster solution, the relationship between two important control parameters and the critical densities that divide an equilibrium solution into stable and unstable regions is thoroughly discussed in detail. We find that such wide clusters exist with a free traffic density in an unstable region, and with one or three critical densities. These results are different from the cases in the well-known higher-order traffic flow models of Payne and Whitham [H. J. Payne, "Models of freeway traffic and control," in Mathematical Models of Public Systems, A. G. Bekey, ed., Simulation Council Proc. Ser. 1, La Jolla, CA, 1971, pp. 51-61], [G. B. Whitham, Linear and Nonlinear Waves, John Wiley and Sons, New York, 1974], Kühne [R. D. Kühne, "Macroscopic freeway model for dense traffic-stop-start waves and incident detection," in Proceedings of the 9th International Symposium on Transportation and Traffic Theory, J. Volmuller and R. Hamerslag, eds., VNU Science Press, Utrecht, 1984, pp. 21-42], and Kerner and Konhäuser [B. S. Kerner and P. Konhäuser, Phys. Rev. E (3), 50 (1994), pp. 54-83]. © 2007 Society for Industrial and Applied Mathematics. | en_US |
dc.language | eng | en_US |
dc.publisher | Society for Industrial and Applied Mathematics. The Journal's web site is located at http://www.siam.org/journals/siap.php | - |
dc.relation.ispartof | SIAM Journal on Applied Mathematics | en_US |
dc.rights | © 2007 Society for Industrial and Applied Mathematics. First Published in SIAM Journal on Applied Mathematics in volume 68, issue 2, published by the Society for Industrial and Applied Mathematics (SIAM). | - |
dc.subject | Aw And Rascle Model | en_US |
dc.subject | Hyperbolic Conservation Law | en_US |
dc.subject | Rankine-Hugoniot Condition | en_US |
dc.subject | Shock Wave | en_US |
dc.subject | Wide Cluster | en_US |
dc.title | Admissibility of a wide cluster solution in "anisotropic" higher-order traffic flow models | 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 | published_or_final_version | - |
dc.identifier.doi | 10.1137/06066641X | en_US |
dc.identifier.scopus | eid_2-s2.0-42549147496 | en_US |
dc.identifier.hkuros | 140825 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-42549147496&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 68 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.spage | 562 | en_US |
dc.identifier.epage | 573 | en_US |
dc.identifier.isi | WOS:000251836700012 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Xu, RY=24081755700 | en_US |
dc.identifier.scopusauthorid | Zhang, P=7404158930 | en_US |
dc.identifier.scopusauthorid | Dai, SQ=7203008878 | en_US |
dc.identifier.scopusauthorid | Wong, SC=24323361400 | en_US |
dc.identifier.issnl | 0036-1399 | - |