Traffic Flow in 1D Cellular Automaton Model Including Cars Moving with High Speed

1996/06/15 by Minoru Fukui, Yoshihiro Ishibashi · 2 citations
Engineering · Social Sciences · #Traffic control and management #Transportation Planning and Optimization #Evacuation and Crowd Dynamics #Cellular automaton #Jamming #Traffic flow (computer networking) #Phase (matter) #Statistical physics #Flow (mathematics) #Simulation #Computer science #Microscopic traffic flow model #Traffic model #Physics #Mechanics #Algorithm #Real-time computing #Traffic generation model #Condensed matter physics

paper · doi:10.1143/jpsj.65.1868

openalex publication_date 1996/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Traffic flow is simulated by one-dimensional cellular automaton (CA) model including cars moving with high speed. The simulation shows a phase transition between the moving phase and the jamming phase at p =1/( m +1) ( p : density of cars, m : the maximum number of sites by which cars advance at each time step). A mean-field theory can reproduce the average velocity found by simulations.

Citations

• Discrete stochastic models for traffic flow
• Coupled-Map Modeling of One-Dimensional Traffic Flow
• Deterministic models for traffic jams
• A cellular automaton model for freeway traffic

Cited by

• Statistical mechanical approach to Fukui-Ishibashi traffic flow models
• Rule 184 [wikipedia]