Continuum approximation for congestion dynamics along freeway corridors

Transportation Science

Volumn 44, Issue 1, 2010, Pages 87-97

  Laval, Jorge A ^a   Leclercq, Ludovic ^b  

^a Georgia Institute of Technology   (United States)

^b UNIVERSITÉ DE LYON   (France)

Author keywords

Congestion; Continuum approximation; Kinematic wave model; Traffic dynamics

Indexed keywords

DYNAMICS; STOCHASTIC SYSTEMS; TRAFFIC SIGNALS;

ANALYTICAL RESULTS; BOTTLENECK ACTIVATION; CONGESTION; CONTINUUM APPROXIMATION; KINEMATIC WAVE MODELS; LOCATION DEPENDENTS; RAMP-METERING STRATEGY; TRAFFIC DYNAMICS;

TRAFFIC CONGESTION;

EID: 77949287419     PISSN: 00411655     EISSN: 15265447     Source Type: Journal    
DOI: 10.1287/trsc.1090.0294     Document Type: Article

References (15)

1. Bastin, G., B. Haut, J. Coron, B., d'Andréa Novel. 2007. Lyapunov stability analysis of networks of scalar conservation laws. Networks Heterogeneous Media 2(4) 749-757.
2. Bayen, A., R. Raffard, C. Tomlin. 2004. Network congestion alleviation using adjoint hybrid control: Application to highways. R. Alur, G. Pappas, eds. Hybrid Systems: Computation and Control. Springer-Verlag, Berlin, 95-110.
3. Cassidy, M., S. Ahn. 2005. Driver turn-taking behavior in congested freeway merges. Transportation Res. Record 1934 140-147.
4. Coclite, G., M. Garavello, B. Piccoli. 2005. Traffic flow on a road network. SIAM J. Math. Anal. 36(6) 1862-1886.
5. Coclite, G. M., B. Piccoli. 2002. Traffic flow on a road network. ArXiv Math. e-prints Accessed October 15, 2009, http://arxiv.org/abs/math/0202146.
6. Daganzo, C. F. 1996. The nature of freeway gridlock and how to prevent it. J. B. Lesort, ed. 13th Internat. Sympos. Transportation Traffic Theory. Elsevier, New York, 629-646.
7. Gugat, M., M. Herty, A. Klar, G. Leugering. 2005. Optimal control for traffic flow networks. J. Optim. Theory Appl. 126(3) 589-616.
8. Jin, W. L., H. M. Zhang. 2003. On the distribution schemes for determining flows through a merge. Transportation Res. Part B 37(6) 521-540.
9. Jin, W. L., H. M. Zhang. 2004. A multicommodity kinematic wave simulation model of network traffic flow. Transportation Res. Record 1883 59-67.
10. Laval, J. A., C. F. Daganzo. 2006. Lane-changing in traffic streams. Transportation Res. Part B 40(3) 251-264.
11. Laval, J. A., L. Leclercq. 2008. Microscopic modeling of the relaxation phenomenon using a macroscopic lane-changing model. Transportation Res. Part B 42(6) 511-522.
12. Leclercq, L., J. Laval, E. Chevallier. 2007. The Lagrangian coordinate system and what it means for first order traffic flow models. B. Heydecker, M. Bell, R. Allsop, eds. 17th Internat. Sympos. Transportation Traffic Theory. Elsevier, New York, 735-754.
13. LeVeque, R. L. 1993. Numerical Methods for Conservation Laws. Birkhäuser, Berlin.
14. Lighthill, M. J., G. B. Whitham. 1955. On kinematic waves. I. Flow movement in long rivers. II. A theory of traffic flow on long crowded roads. Proc. Roy. Soc. 229(A) 281-345.
15. Richards, P. I. 1956. Shockwaves on the highway. Oper. Res. (4) 42-51.