Macroscopic Dynamics of Multi-Lane Traffic

Details Macroscopic Dynamics of Multi-Lane Traffic Macroscopic Dynamics of Multi-Lane Traffic

1999-06-29

arxiv.org/abs/cond-mat/9906430v1

Physical Review E 59, 6328-6339 (1999)

Physics

Condensed Matter

Statistical Mechanics

For related work see http://www.theo2.physik.uni-stuttgart.de/helbing.html

Scientific paper

10.1103/PhysRevE.59.6328

We present a macroscopic model of mixed multi-lane freeway traffic that can be easily calibrated to empirical traffic data, as is shown for Dutch highway data. The model is derived from a gas-kinetic level of description, including effects of vehicular space requirements and velocity correlations between successive vehicles. We also give a derivation of the lane-changing rates. The resulting dynamic velocity equations contain non-local and anisotropic interaction terms which allow a robust and efficient numerical simulation of multi-lane traffic. As demonstrated by various examples, this facilitates the investigation of synchronization patterns among lanes and effects of on-ramps, off-ramps, lane closures, or accidents.

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