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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Empirical test of a microscopic three-phase traffic theory
TL;DR: It is found that microscopic three-phase traffic models can explain all known macroscopic and microscopic empirical congested pattern features and it turns out that microscopic optimal velocity (OV) functions and time headway distributions are not necessarily qualitativelyDifferent, even if local congested traffic behavior is qualitatively different.
Journal ArticleDOI
Stabilization of oscillations through backstepping in high-dimensional systems
TL;DR: It is shown that the closed-loop system turns out to be generalized Hamiltonian and that the limit cycle can be thought as born in a Hopf bifurcation after moving a parameter.
Cellular Automata Model Of Emergent Collective Bi-Directional Pedestrian Dynamics
V. J. Blue,J. L. Adler +1 more
TL;DR: The application of an Artificial Life cellular automata (CA) microsimulation to model the emergent collective behavior of bi-directional pedestrian flows shows that a relatively small rule set is capable of effectively capturing the collective behaviors of pedestrians who are autonomous at the micro-level.
Journal ArticleDOI
Analysis of Large-Scale Traffic Dynamics in an Urban Transportation Network Using Non-Negative Tensor Factorization
Yufei Han,Fabien Moutarde +1 more
TL;DR: This work forms this joint task using regularized Non-negative Tensor Factorization, which has been shown to be a useful analysis tool for spatio-temporal data sequences and achieves long-term prediction of the large-scale traffic evolution in a unified data-mining framework.
Journal ArticleDOI
Cellular automata models of single-lane traffic
M. Sasvári,János Kertész +1 more
TL;DR: In this article, the authors analyzed the jamming transition in the stochastic cellular automation model (Nagel-Schreckenberg model) of highway traffic by studying the relaxation time, a mapping to surface growth problems, and the investigation of correlation functions.