Macroscopic traffic models from microscopic car-following models

摘要

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