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Journal ArticleDOI

A cellular automaton model for freeway traffic

Kai Nagel, +1 more
- 01 Dec 1992 - 
- Vol. 2, Iss: 12, pp 2221-2229
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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.

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Proceedings ArticleDOI

Agent-based traffic simulation and traffic signal timing optimization with GPU

TL;DR: This paper builds an MAS model for a road network of four signalized intersections and uses a Genetic Algorithm (GA) to optimize the traffic signal timing with the objective of maximizing the number of the vehicles leaving the network in a given period of time.
Journal ArticleDOI

Jamming transition of high-dimensional traffic dynamics

TL;DR: In this paper, the phase transition and critical phenomenon in high-dimensional traffic flow were investigated numerically and analytically, and the phase separation line, spinodal line, and critical point were calculated from the Ginzburg-Landau (TDGL) equation.
Journal ArticleDOI

Exact solution of an exclusion process with three classes of particles and vacancies

TL;DR: In this article, the authors present an exact solution for an asymmetric exclusion process on a ring with three classes of particles and vacancies using a matrix-product Ansatz, and find exact expressions for the weights of the configurations in the stationary state.
Journal ArticleDOI

A stochastic cellular automaton model for traffic flow with multiple metastable states

TL;DR: A new stochastic cellular automaton model of traffic flow, which includes slow-to-start effects and a driver's perspective, is proposed by extending the Burgers CA and the Nagel–Schreckenberg CA model.
Journal ArticleDOI

The green wave model of two-dimensional traffic: Transitions in the flow properties and in the geometry of the traffic jam

TL;DR: The green wave model (GWM), the parallel updating version of the two-dimensional traffic model of Biham et al, is studied to extrapolate to the infinite system size which indicates a nonzero density transition from the free flow to the congested state (jamming transition).
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