Continuum Approximation for Congestion Dynamics Along Freeway Corridors

Published Online:https://doi.org/10.1287/trsc.1090.0294

References

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