1997/01/01 by Andreas Schadschneider, Michael Schreckenberg · 3 citations
Engineering · Physics and Astronomy · Social Sciences · #Traffic Prediction and Management Techniques #Traffic control and management #Transportation Planning and Optimization #cond-mat.stat-mech
paper · pdf · doi:10.1002/andp.19975090703
published as Ann. Physik 6, 541 (1997) · Latex, 15 pages, 6 ps-figures
openalex publication_date 1997/01/01 · arxiv created 1997/09/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Abstract We investigate two models for traffic flow with modified acceleration (‘slow‐to‐start’) rules. Even in the simplest case v max = 1 these rules break the ‘particle‐hole’ symmetry of the model. We determine the fundamental diagram (flow‐density relationship) using the so‐called car‐oriented mean‐field approach (COMF) which yields the exact solution of the basic model with v max = 1. Here we find that this is no longer true for the models with modified acceleration rules, but the results are still in good agreement with simulations. We also compare the effects of the two different slow‐to‐start rules and discuss their relevance for real traffic. In addition, in one of these models we find a new phase transition to a completely jammed state.