Berlin 2005 – scientific programme
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DY: Dynamik und Statistische Physik
DY 31: Nonlinear Stochastic Systems I
DY 31.6: Talk
Monday, March 7, 2005, 11:45–12:00, TU H2032
Controlling Traffic Breakdowns — •Reinhard Mahnke1, Reinhart Kühne2, and Ihor Lubashevsky3 — 1Inst. of Physics, Univ. Rostock, D–18051 Rostock — 2Inst. Transport. Res., DLR, D–12489 Berlin — 3Physics Inst., Russian Acad. Sc., Moscow, Russia
A stochastic description of traffic flow, called probabilistic traffic flow theory, is developed.
Traffic breakdowns are described by a balance equation that models the dynamics of jam formation by two contributions: a discharge rate depending on the length of the congestion, and an adhesion rate mainly depending on the traffic volume of the considered road section. With this balance equation it is feasible to calculate the dynamics of traffic pattern formation especially the first passage time for a transition from free flow condition to congested traffic including the influence of the parameters affecting the discharge and adhesion rates.
Starting with the cumulative probability for breakdowns the change in the incident duration distribution is calculated and qualitatively given. The contribution concludes with recommendations for a comprehensive operation improvement and provides necessary steps for a long lasting stabilization of traffic for a given traffic flow time series pattern.
[1] R. Kühne, R. Mahnke, I. Lubashevsky, Phys. Rev. E 65, 066125 (2002)