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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Proceedings ArticleDOI
Short-term traffic prediction using fuzzy c-means and cellular automata in a wide-area road network
TL;DR: The proposed method for forecasting traffic in a time-series manner for up to one hour ahead for all roads in a wide-area road network is found to be superior to the nearest neighborhood method for traffic prediction at times of congestion outbreak and alleviation and heavy congestion.
Book ChapterDOI
Probabilistic Traffic Flow Breakdown in Stochastic Car Following Models
Dominic Jost,Kai Nagel +1 more
TL;DR: In this paper, the authors present computational evidence that stochastic car following models can have a control parameter that moves the model between displaying and not displaying spontaneous phase separation for some densities.
Journal ArticleDOI
Extended speed gradient model for traffic flow on two-lane freeways
TL;DR: In this paper, the speed gradient model is extended to describe the traffic flow on two-lane freeways and terms related to lane change are added into the continuity equations and velocity dynamic equations.
Journal ArticleDOI
Car-following theory of steady-state traffic flow using time-to-collision
TL;DR: The results imply that the property of steady-state traffic flow and the capacity of each lane are highly relevant to the microscopic staggered car-following behavior, and the proposed model significantly enhances the practicality of the human driving behavior model.
Proceedings ArticleDOI
Derivation of the fundamental traffic diagram for two circular roads and a crossing using minplus algebra and Petri net modeling.
TL;DR: In this paper, the authors derived the dynamics in terms of the composition of a standard linear operator and a minplus operator, which determines uniquely the system trajectory and showed that there exists an average flow which becomes asymptotically independent of the initial position of the vehicles when the size of the system goes to infinity.