2.3k citations · 13.8k across the 135 of their papers we have counts for
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Cellular Automaton Approach to Pedestrian Dynamics - Applications
Carsten Burstedde, Ansgar Kirchner, Kai Klauck +2
We present applications of a cellular automaton approach to pedestrian dynamics introduced in [1,2]. It is shown that the model is able to reproduce collective effects and self-org…
Cellular Automaton Approach to Pedestrian Dynamics - Theory
Andreas Schadschneider
We present a 2-dimensional cellular automaton model for the simulation of pedestrian dynamics. The model is extremely efficient and allows simulations of large crowds faster than r…
Broken Ergodicity in a Stochastic Model with Condensation
Frank Zielen, Andreas Schadschneider
We introduce a variant of the asymmetric random average process with continuous state variables where the maximal transport is restricted by a cutoff. For periodic boundary conditi…
Localized defects in a cellular automaton model for traffic flow with phase separation
A. Pottmeier, R. Barlovic, W. Knospe +2
We study the impact of a localized defect in a cellular automaton model for traffic flow which exhibits metastable states and phase separation. The defect is implemented by locally…
Exact stationary state of a staggered stochastic hopping model
Kai Klauck, Andreas Schadschneider, Johannes Zittartz
We determine the -particle stationary states of a staggered stochastic hopping model with reflective boundaries. It is shown that the stationary states are in fact so-called opt…
Optimizing Traffic Lights in a Cellular Automaton Model for City Traffic
Elmar Brockfeld, Robert Barlovic, Andreas Schadschneider +1
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 idea…
Human behavior as origin of traffic phases
Wolfgang Knospe, Ludger Santen, Andreas Schadschneider +1
It is shown that the desire for smooth and comfortable driving is directly responsible for the occurrence of complex spatio-temporal structures (``synchronized traffic'') in highwa…
Exact Mean-Field Solutions of the Asymmetric Random Average Process
Frank Zielen, Andreas Schadschneider
We consider the asymmetric random average process (ARAP) with continuous mass variables and parallel discrete time dynamics studied recently by Krug/Garcia and Rajesh/Majumdar [bot…
Random walk theory of jamming in a cellular automaton model for traffic flow
Robert Barlovic, Andreas Schadschneider, Michael Schreckenberg
The jamming behavior of a single lane traffic model based on a cellular automaton approach is studied. Our investigations concentrate on the so-called VDR model which is a simple g…
A Microscopic Model for Packet Transport in the Internet
Torsten Huisinga, Robert Barlovic, Wolfgang Knospe +2
A microscopic description of packet transport in the Internet by using a simple cellular automaton model is presented. A generalised exclusion process is introduced which allows to…
Simulation of pedestrian dynamics using a 2-dimensional cellular automaton
C. Burstedde, K. Klauck, A. Schadschneider +1
We propose a 2-dimensional cellular automaton model to simulate pedestrian traffic. It is a vmax=1 model with exclusion statistics and parallel dynamics. Long-range interactions be…