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

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.