Cellular automaton block model of traffic in a city

Leonardo Gregory Brunnet and Sebastián Gonçalves

Physica A: Statistical Mechanics and its Applications, 1997, vol. 237, issue 1, 59-66

Abstract: We present a cellular automaton model of traffic in a city where cars sit between crossings so that they never block the transversal movements. They turn with probability γ, 0⩽γ⩽1. The model is presented in two variants depending on the direction of the flow on the different streets. We numerically find that the mean velocity of traffic continuously decreases with increasing concentration of cars. For a given concentration the mean velocity is minimum for γ=0.5 in both variants of the model. Exact expressions for γ=0,0.5,1 are found for an infinite city and a global picture emerges in terms of asymptotic order, local jam and fluctuations.

Date: 1997
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437196003640
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:237:y:1997:i:1:p:59-66

DOI: 10.1016/S0378-4371(96)00364-0

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().