Artículo

A min-plus derivation of the fundamental car-traffic law

Lotito, Pablo AndresIcon ; Mancinelli, Elina MafaldaIcon ; Quadrat, Jean Pierre
Fecha de publicación: 05/2005
Editorial: Institute of Electrical and Electronics Engineers
Revista: IEEE Transactions on Automatic Control
ISSN: 0018-9286
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

We give deterministic and stochastic models of the traffic on a circular road without overtaking. From this model the mean speed is derived as an eigenvalue of the min-plus matrix describing thedynamics of the system in the deterministic case and as the Lyapunov exponent of a min-plus stochastic matrix in the stochastic case. The eigenvalue and the Lyapunov exponent are computed explicitly. From these formulae we derive the fundamental law that links the flow to the density of vehicles on the road. Numerical experiments using the  MaxPlus toolbox of Scilab confirm the theoretical results obtained.
Palabras clave: CELLULAR AUTOMATA , FUNDAMENTAL DIAGRAM , LYAPUNOV EXPONENT , MAX-PLUS ALGEBRA
 
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Licencia
info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/239879
URL: https://ieeexplore.ieee.org/document/1431054
DOI: https://doi.org/10.1109/TAC.2005.848336
Colecciones
Articulos(CCT - ROSARIO)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - ROSARIO
Articulos(CCT - TANDIL)
Articulos de CTRO CIENTIFICO TECNOLOGICO CONICET - TANDIL
Citación
Lotito, Pablo Andres; Mancinelli, Elina Mafalda; Quadrat, Jean Pierre; A min-plus derivation of the fundamental car-traffic law; Institute of Electrical and Electronics Engineers; IEEE Transactions on Automatic Control; 50; 5; 5-2005; 699-705
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