In the so-called “microscopic” models of vehicular traffic, attention is paid explicitly to each
individual vehicle each of which is represented by a “particle”; the nature of the “interactions” …

抄録 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 …

This paper shows how particle hopping models fit into the context of traffic flow theory, that
is, it shows connections between fluid-dynamical traffic flow models, which derive from the …

Cellular automaton models for walking of pedestrians are studied in a system where one
pedestrian and many pedestrians walk in the opposite direction and encounter each other …

We use a very simple description of human driving behavior to simulate traffic. The regime of
maximum vehicle flow in a closed system shows near-critical behavior, and as a result a …

We systematically investigate the effect of blockage sites in a cellular automaton model for
traffic flow. Different scheduling schemes for the blockage sites are considered. None of …

The cellular automaton model for traffic flow exhibits a jamming transition from a free-flow
phase to a congested phase. In the deterministic case this transition corresponds to a critical …

Within the framework of a simple model of car traffic on a one-lane highway, we study the
probability of the occurrence of car accidents when drivers do not respect the safety distance …

In recent years statistical physicists have developed discrete'particle-hopping'models of
vehicular traffic, usually formulated in terms of cellular automata, which are similar to the …

Tra c jams are annoying, cost money, and pollute the environment. Meanwhile, tra c jams
are only the most visible part of a far bigger problem: In the western part of Germany1 alone …