Macroscopic traffic models from microscopic car-following models

Details Macroscopic traffic models from microscopic car-following models Macroscopic traffic models from microscopic car-following models

2001-09-27

arxiv.org/abs/cond-mat/0109519v1

Phys. Rev. E vol. 64, 056126 (2001)

Physics

Condensed Matter

Statistical Mechanics

12 pages, 4 figures; to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.64.056126

We present a method to derive macroscopic fluid-dynamic models from microscopic car-following models via a coarse-graining procedure. The method is first demonstrated for the optimal velocity model. The derived macroscopic model consists of a conservation equation and a momentum equation, and the latter contains a relaxation term, an anticipation term, and a diffusion term. Properties of the resulting macroscopic model are compared with those of the optimal velocity model through numerical simulations, and reasonable agreement is found although there are deviations in the quantitative level. The derivation is also extended to general car-following models.

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