From Microscopic to Macroscopic Traffic Models
arXiv:cond-mat/9806171 · doi:10.1007/BFb0104959
Abstract
The paper presents a systematic derivation of macroscopic equations for freeway traffic flow from an Enskog-like kinetic approach. The resulting fluid-dynamic traffic equations for the spatial density, average velocity, and velocity variance of vehicles are compared to equations, which can be obtained from a microscopic force model of individual vehicle motion. Simulation results of the models are confronted with empirical traffic data.
For related work see http://www.theo2.physik.uni-stuttgart.de/helbing.html
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