Cellular automata approach to three-phase traffic theory

A Continuous Cellular Automata Approach to Highway Traffic Modeling

Three-Phase Traffic Theory and Highway Capacity

Hypotheses and some results of the three-phase traffic theory by the author are compared with results of the fundamental diagram approach to traffic flow theory. A critical discussion of model results about congested pattern features which have been derived within the fundamental diagram approach to traffic flow theory and modelling is made. The empirical basis of the three-phase traffic theory...

Two-lane traffic rules for cellular automata: A systematic approach

Kai Nagel,* Dietrich E. Wolf, Peter Wagner, and Patrice Simon Los Alamos National Laboratory, TSA-DO/SA Mail Stop M997, Los Alamos, New Mexico 87545 Theoretische Physik, Gerhard-Mercator-Universität, 47048 Duisburg, Germany Zentrum für Paralleles Rechnen, Universität zu Köln, 50923 Köln, Germany Deutsches Zentrum für Luftund Raumfahrt, Linder Höhe, 51170 Köln, Germany ~Received 18 December 1997!

Traffic Simulations Using Cellular Automata

In this article we summarize work concerned with the comparison between a cellular automaton (CA)-model 1 for traac ow and empirical data. The results presented here consist of two parts: comparing the fundamental diagrams and looking for a certain set of lane changing rules, which reproduce at least qualitatively the data measured on german motorways. These last results indicate, that it is po...

Pattern Formation of the FitzHugh-Nagumo Model: Cellular Automata Approach

FitzHugh-Nagumo (FHN) model is a famous Reaction-Diffusion System which first introduced for the conduction of electrical impulses along a nerve fiber. This model is also considered as an abstract model for pattern formation. Here, we have used the Cellular Automata method to simulate the pattern formation of the FHN model. It is shown that the pattern of this model is very similar to those...