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- E Brockfeld, R Barlovic, A Schadschneider, M Schreckenberg
- Physical review. E, Statistical, nonlinear, and…
- 2001

We study the impact of global traffic light control strategies in a recently proposed cellular automaton model for vehicular traffic in city networks. The model combines basic ideas of the Biham-Middleton-Levine model for city traffic and the Nagel-Schreckenberg model for highway traffic. The city network has a simple square lattice geometry. All streets… (More)

The asymmetric exclusion process (ASEP) has attracted a lot of interest not only because its many applications, e.g. in the context of the kinetics of biopolymerization and traffic flow theory, but also because it is a paradigmatic model for nonequilibrium systems. Here we study the ASEP for different types of updates, namely random-sequential, sequential,… (More)

- Reinhard Selten, Thorsten Chmura, Thomas Pitz, Sebastian Kube, Michael Schreckenberg
- Games and Economic Behavior
- 2007

- Roland Chrobok, O. Kaumann, Joachim Wahle, Michael Schreckenberg
- European Journal of Operational Research
- 2004

- Florian Knorr, Daniel Baselt, Michael Schreckenberg, Martin Mauve
- IEEE Trans. Vehicular Technology
- 2012

- M Rickert, K Nagel, M Schreckenberg, A Latour
- 2008

We examine a simple two lane cellular automaton based upon the single lane CA introduced by Nagel and Schreckenberg. We point out important parameters defining the shape of the fundamental diagram. Moreover we investigate the importance of stochastic elements with respect to real life traffic.

We investigate a probabilistic cellular automaton model which has been introduced recently. This model describes single-lane traac ow on a ring and generalizes the asymmetric exclusion process models. We study the equilibrium properties and calculate the so-called fundamental diagrams ((ow vs. density) for parallel dynamics. This is done numerically by… (More)

In this work the results of a bottleneck experiment with pedestrians are presented in the form of total times, fluxes, specific fluxes, and time gaps. A main aim was to find the dependence of these values from the bottleneck width. The results show a linear decline of the specific flux with increasing width as long as only one person at a time can pass, and… (More)

A two-lane extension of a recently proposed cellular automaton model for traffic flow is discussed. The analysis focuses on the reproduction of the lane usage inversion and the density dependence of the number of lane changes. It is shown that the single-lane dynamics can be extended to the two-lane case without changing the basic properties of the model… (More)

A recently introduced cellular automaton model for the description of traffic flow is investigated. It generalises asymmetric exclusion models which have attracted a lot of interest in the past. We calculate the so-called fundamental diagram (flow vs. density) for parallel dynamics using an improved mean-field approximation which takes into account… (More)