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On the Numerical Treatment of Moving Bottlenecks

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  • Daganzo, Carlos
  • Laval, Jorge A.

Abstract

This report is part of PATH Task Order 4141 and shows how moving obstructions can be modeled numerically with kinematic wave theory. It shows that if a moving obstruction is replaced by a sequence of fixed obstructions at nearby locations with the same "capacity", then the error in vehicle number converges uniformly to zero as the maximum separation between the moving and fixed bottlenecks is reduced. This result implies that average flows, densities, accumulations and delays can be predicted as accurately as desired with this method. Thus, any convergent finite difference scheme can now be used to model moving bottlenecks. An example is given.

Suggested Citation

  • Daganzo, Carlos & Laval, Jorge A., 2003. "On the Numerical Treatment of Moving Bottlenecks," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt69r4t5pp, Institute of Transportation Studies, UC Berkeley.
    • Handle: RePEc:cdl:itsrrp:qt69r4t5pp
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    Cited by:

    1. Kerner, Boris S., 2016. "Failure of classical traffic flow theories: Stochastic highway capacity and automatic driving," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 700-747.
    2. Kerner, Boris S. & Koller, Micha & Klenov, Sergey L. & Rehborn, Hubert & Leibel, Michael, 2015. "The physics of empirical nuclei for spontaneous traffic breakdown in free flow at highway bottlenecks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 365-397.
    3. Ou, Hui & Tang, Tie-Qiao, 2018. "Impacts of moving bottlenecks on traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 131-138.
    4. Daganzo, Carlos F. & Laval, Jorge A., 2003. "Moving Bottlenecks: A Numerical Method that Converges in Flows," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt1hp588xx, Institute of Transportation Studies, UC Berkeley.

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