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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Traffic dynamics in empirical probe vehicle data studied with three-phase theory: Spatiotemporal reconstruction of traffic phases and generation of jam warning messages
Boris S. Kerner,Hubert Rehborn,Ralf-Peter Schäfer,Sergey L. Klenov,Jochen Dipl.-Ing. Palmer,Stefan Lorkowski,Nikolaus Witte +6 more
TL;DR: Through the use of the simulations, it has been found that already about 2% of probe vehicle data allows us to reconstruct traffic dynamics in space and time with an accuracy that is high enough for most applications like the generation of jam warning messages studied in the article.
Journal ArticleDOI
Simulation of cellular automata
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Journal ArticleDOI
Quickest Paths in Simulations of Pedestrians
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Journal ArticleDOI
A future intelligent traffic system with mixed autonomous vehicles and human-driven vehicles
TL;DR: This is the first paper to study a mixed traffic system from a micro perspective based on the cellular automation model and finds an optimal ratio of AVs at which the traffic system has the maximum average flow and theoretical solutions of critical vehicle density are obtained using the mean-field theory in physics.