Traffic behavior in CA model of vehicular traffic through a series of signals
type: Item
instance of: scholarly article
title: Traffic behavior in CA model of vehicular traffic through a series of signals
zbMATH Open document ID: 1253.90069
DOI: 10.1155/2012/812969
author: Kazuhiro Tobita
author: Takashi Nagatani
published in: Discrete Dynamics in Nature and Society
publication date: 2012-12-18T00:00:00Z
review text: Summary: We study the traffic states and fundamental diagram of vehicular traffic controlled by a series of traffic lights using a deterministic cellular automaton (CA) model. The CA model is not described by a set of rules but is given by a difference equation. The vehicular traffic varies highly with both signal's characteristics and vehicular density. The dependence of fundamental diagram on the signal's characteristics is derived. At a low value of cycle time, the fundamental diagram displays the typical trapezoid, while it shows a triangle at a high value of cycle time. The dynamic transitions among distinct traffic states depend greatly on the signal's characteristics. The dependence of the transition points on the cycle time split and offset time is found.
Mathematics Subject Classification ID: 90B20
Mathematics Subject Classification ID: 68Q80
zbMATH DE Number: 6116523
zbMATH Keywords: vehicular traffic
zbMATH Keywords: traffic lights
zbMATH Keywords: deterministic cellular automaton model
Wikidata QID: Q58700769
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/812969
OpenAlex ID: W2155566061
cites work: Simulation of evacuation processes using a bionics-inspired cellular automaton model for pedestrian dynamics
cites work: A new lattice model of traffic flow with the consideration of the driver's forecast effects
cites work: Multifractal chaotic attractors in a system of delay-differential equations modeling road traffic
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description: scientific article; zbMATH DE number 6116523