Variance-Driven Traffic Dynamics

  • Martin Treiber
  • Arne Kesting
  • Dirk Helbing


We investigate the adaptation of the time headways in car-following models as a function of the local velocity variance, which is a measure of the inhomogeneity of traffic flows. We apply our meta-model to several car-following models and simulate traffic breakdowns in open systems with an on-ramp bottleneck. Single-vehicle data generated by ‘virtual detectors’ show a semi-quantitative agreement with microscopic data from the Dutch freeway A9. This includes the observed distributions of the net time headways and times-to-collisions for free and congested traffic, and the velocity variance as a function of traffic density. Macroscopic properties such as the observed wide scattering of flow-density data are reproduced as well, even for deterministic simulations. We explain these phenomena by a self-organized variance-driven process that leads to the spontaneous formation and decay of long-lived platoons.


Time Headway Adaptive Cruise Control Deterministic Simulation Fundamental Diagram Wide Scattering 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Martin Treiber
    • 1
  • Arne Kesting
    • 1
  • Dirk Helbing
    • 1
    • 2
  1. 1.Institute for Transport & EconomicsTechnische Universität DresdenDresdenGermany
  2. 2.Collegium Budapest — Institute for Advanced StudyBudapestHungary

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