vix.ing · top · new · best · stats · spec

Deterministic models for traffic jams

1993/07/30 by Kai Nagel, Hans J. Herrmann · 2 citations
Engineering · Mathematics · Physics and Astronomy · #Evacuation and Crowd Dynamics #Stochastic processes and statistical mechanics #Traffic control and management #cond-mat

paper · pdf · doi:10.1016/0378-4371(93)90006-p

11 pages, latex, HLRZ preprint 46/93, UKAM-WP 93.133

arxiv created 1993/07/30 · openalex publication_date 1993/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study several deterministic one-dimensional traffic models. For integer positions and velocities we find the typical high and low density phases separated by a simple transition. If positions and velocities are continuous variables the model shows self-organized criticality driven by the slowest car.

Cited by