Density waves and jamming transition in cellular automaton models for traffic flow

In this paper computer simulation results of higher-order density correlati ons for cellular automaton models of traffic flow are presented. The examin ations show the jamming transition as a function of both the density and th e magnitude of noise and allow one to calculate the velocity of upstream mo ving jams. This velocity is independent of the density and decreases with g rowing noise. The point of maximum flow in the fundamental diagram determin es its value. For that it is not necessary to explicitly define jams in the language of the selected model, but only based upon the well defined chara cteristic density profiles along the line.