Journal ArticleDOI
A cellular automaton model for freeway traffic
Kai Nagel,Michael Schreckenberg +1 more
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TLDR
A stochastic discrete automaton model is introduced to simulate freeway traffic and shows a transition from laminar traffic flow to start-stop- waves with increasing vehicle density, as is observed in real freeway traffic.Abstract:
We introduce a stochastic discrete automaton model to simulate freeway traffic. Monte-Carlo simulations of the model show a transition from laminar traffic flow to start-stop- waves with increasing vehicle density, as is observed in real freeway traffic. For special cases analytical results can be obtained.read more
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Cellular automata modeling of pedestrian's crossing dynamics.
Jin Zhang,Hui Wang,Ping Li +2 more
TL;DR: The model can be easily extended, is very efficient for simulation of pedestrian’s crossing dynamics, can be integrated into traffic simulation software, and has been proved feasible by simulation experiments.
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Hydrodynamic mean-field solutions of 1D exclusion processes with spatially varying hopping rates
TL;DR: In this paper, the open boundary partially asymmetric exclusion process with smoothly varying internal hopping rates in the infinite-size, mean-field limit was analyzed and the Ricatti equations for particle densities were solved both analytically and numerically.
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Statistical physics of synchronized traffic flow: Spatiotemporal competition between S→F and S→J instabilities.
TL;DR: The statistical physics of synchronized traffic flow is revealed that is governed by a spatiotemporal competition between S→F and S→J instabilities (where F, S, and J denote, respectively, the free flow, synchronized flow, and wide moving jam traffic phases).
Journal ArticleDOI
Flow of Cars Crossing with Unequal Velocities in a Two-Dimensional Cellular Automaton Model.
TL;DR: It has turned out that two new phases appear between the free-moving phase and the global jamming phase in both models: the one-sided blocking phase where the northbound cars block the high speed eastbound cars and the mutual blocking phase, where the cars on both roads are mutually blocked.
Journal ArticleDOI
Economics-based optimization of unstable flows
TL;DR: Simulations based on realistic parameter values show that this strategy for deciding the optimal rates at which vehicles are allowed to enter a highway is feasible for naturally occurring traffic, and that even far from optimality, injection policies can improve traffic flow.