We propose a two-dimensional cellular automaton model to simulate pedestrian traffic. It is a vmax=1 model with exclusion statistics and parallel dynamics. Long-range interactions between the pedestrians are mediated by a so-called floor field which modifies the transition rates to neighbouring...

The investigation of traffic flow problems has a long tradition and various methods and approaches have been applied. In this review we focus on statistical mechanics and nonequilibrium aspects. It is shown that many properties of traffic flow can be modelled successfully by using rather simple...

The modelling of traffic flow using methods and models from physics has a long history. In recent years especially cellular automata models have allowed for large-scale simulations of large traffic networks faster than real time. On the other hand, these systems are interesting for physicists...

Cellular automata (CA) provide a simple and intuitive approach for modelling interdisciplinary problems. We discuss the basic principles which have lead to the development of realistic CA models for the description of highway traffic. Sophisticated models reproduce even the microscopic structure...