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” …

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 …

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 …

Cellular automata Page 2 Lecture Notes in Computer Science 3305 Commenced
Publication in 1973 Founding and Former Series Editors: Gerhard Goos, Juris Hartmanis …

This review addresses recent developments in non-equilibrium statistical physics. Focusing
on phase transitions from fluctuating phases into absorbing states, the universality class of …

A traffic jam on a highway is a very familiar phenomenon. From the physical viewpoint, the
system of vehicular flow is a non-equilibrium system of interacting particles (vehicles). The …

Measurements on real traffic have revealed the existence of metastable states with very high
flow. Such states have not been observed in the Nagel-Schreckenberg (NaSch) model …

A lattice gas model with biased random walkers is presented to mimic the pedestrian
counter flow in a channel under the open boundary condition of constant density. There are …

Continuum models of traffic are proposed to describe the jamming transition in traffic flow on
a highway. They are the simplified versions of the hydrodynamic model of traffic. Two …

Microscopic modeling of multilane traffic is usually done by applying heuristic lane changing
rules and often with unsatisfying results. Recently, a cellular automaton model for two-lane …