Cellular automata approach to three-phase traffic theory

BS Kerner, SL Klenov, DE Wolf - Journal of Physics A …, 2002 - iopscience.iop.org
The cellular automata (CA) approach to traffic modelling is extended to allow for spatially
homogeneous steady state solutions that cover a two-dimensional region in the flow–density …

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

K Nishinari, M Fukui… - Journal of Physics A …, 2004 - iopscience.iop.org
A new stochastic cellular automaton (CA) 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 …

Modeling connected and autonomous vehicles in heterogeneous traffic flow

L Ye, T Yamamoto - Physica A: Statistical Mechanics and its Applications, 2018 - Elsevier
The objective of this study was to develop a heterogeneous traffic-flow model to study the
possible impact of connected and autonomous vehicles (CAVs) on the traffic flow. Based on …

The effect of lateral interaction on traffic flow

M Bouadi, K Jetto, A Benyoussef, A Kenz - Physica A: Statistical Mechanics …, 2016 - Elsevier
We propose an extended cellular automaton model for traffic flow, taking into account lateral
interactions with defects and between vehicles. The fundamental diagram for a given defects …

Network breakdown “at the edge of chaos” in multi-agent traffic simulations

M Rieser, K Nagel - The European Physical Journal B, 2008 - Springer
Traffic is highly influenced by network structure and human behaviour. Small changes in the
human behaviour can lead to huge changes in the load of a traffic network. Current …

A cellular automata approach for modelling pedestrian-vehicle mixed traffic flow in urban city

J Wang, W Lv, Y Jiang, G Huang - Applied Mathematical Modelling, 2023 - Elsevier
In urban streets, the intrusion of pedestrians into the motorway will pose a considerable
challenge. However, modelling mixed pedestrian-vehicle traffic scenes is difficult …

Imitation dynamics in a game of traffic

G Paissan, G Abramson - The European Physical Journal B, 2013 - Springer
We study a model of traffic where drivers adopt different behavioral strategies. These can be
cooperative or defective according to a driver abiding or not by a traffic rule. Drivers can …

Cellular automata for one-lane traffic flow modeling

ME Lárraga, JA Del Rio, L Alvarez-Lcaza - Transportation Research Part C …, 2005 - Elsevier
A cellular automata model is proposed to simulate microscopic traffic flow. In this type of
models, based on methods from statistical physics, vehicles follow a reduced set of rules that …

Mechanical restriction versus human overreaction: Accident avoidance and two-lane traffic simulations

A Pottmeier, C Thiemann, A Schadschneider… - Traffic and Granular …, 2007 - Springer
Summary Lee et. al.[1] have proposed a cellular automaton model that emphasizes the
conflict between human overreaction and limited mechanical capabilities as the origin of …

Chaos in a dynamic model of urban transportation network flow based on user equilibrium states

M Xu, Z Gao - Chaos, Solitons & Fractals, 2009 - Elsevier
In this study, we investigate the dynamical behavior of network traffic flow. We first build a
two-stage mathematical model to analyze the complex behavior of network flow, a …