Congestion on multilane highways

SIAM Journal on Applied Mathematics

Volumn 63, Issue 3, 2003, Pages 818-833

  Greenberg, J M ^a   Klar, A ^b   Rascle, M ^c  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^c UNIVERSITÉ DE NICE SOPHIA ANTIPOLIS   (France)

Author keywords

Microscopic and macroscopic traffic models; Multiple equilibria; Self excited oscillations; Travelling waves

Indexed keywords

OSCILLATIONS; RELAXATION PROCESSES; SWITCHING;

MULTILANE HIGHWAYS;

HIGHWAY TRAFFIC CONTROL;

EID: 0038166020     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139901396309     Document Type: Article

References (10)

1. B. ARGALL, E. CHELESHKIN, J. M. GREENBERG, C. HINDE, AND P.-J. LIN, A rigorous treatment of a follow-the-leader traffic model with traffic lights present, SIAM J. Appl. Math, 63 (2002), pp. 149-168.
2. A. AW, A. KLAR, T. MATERNE, AND M. RASCLE, Derivation of continuum traffic flow models from microscopic follow-the-leader models, SIAM J. Appl. Math., 63 (2002), pp. 259-278.
3. A. AW AND M. RASCLE, Resurrection of "second order" models of traffic flow, SIAM J. Appl. Math., 60 (2000), pp. 916-938.
4. P. BAGNERINI AND M. RASCLE, Un modèle hyperbolique homogénéisé pour le trafic routier, C. R. Acad. Sci. Paris, to appear.
5. C. F. DAGANZO, A behavioral theory of multi-lane traffic flow. Part I: Long homogeneous freeway sections, Transp. Res. B, 36 (2002), pp. 131-158.
6. J. M. GREENBERG, Extensions and amplifications of a traffic model of Aw and Rascle, SIAM J. Appl. Math., 62 (2001), pp. 729-745.
7. B. S. KERNER, Experimental features of self-organization in traffic flow, Phys. Rev. Lett., 81 (1998), pp. 3797-3800.
8. B. S. KERNER, Congested traffic flow, Transp. Res. Rec., 1678 (1998), pp. 160-167.
9. A. SOPASAKIS, Unstable flow and modeling, Math. Comput. Modelling, to appear.
10. M. ZHANG, A nonequilibrium traffic model devoid of gas like behaviour, Transp. Res. B, to appear.