1.8k citations · 1.9k across the 5 of their papers we have counts for
5 papers
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…
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…
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…
A new cellular automata model for city traffic
A. Schadschneider, D. Chowdhury, E. Brockfeld +3
We present a new cellular automata model of vehicular traffic in cities by combining ideas borrowed from the Biham-Middleton-Levine (BML) model of city traffic and the Nagel-Schrec…
On the ubiquity of matrix-product states in one-dimensional stochastic processes with boundary interactions
K. Klauck, A. Schadschneider
Recently it has been shown that the zero-energy eigenstate -- corresponding to the stationary state -- of a stochastic Hamiltonian with nearest-neighbour interaction in the bulk an…