HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Reports

A Minplus Derivation of the Fundamental Car-Traffic Law

Abstract : We give deterministic models and a stochastic model of the traffic on a circular road without overtaking. The average speed is the eigenvalue of a minplus matrix describing the dynamics of the system in the first case and a Lyapounov exponentof a minplus stochastic matrix in the second one.The eigenvalue and the Lyapounov exponent are computed explicitly. From these formulae we derive the fundamental law that links the flow to the density of vehicle on the road. Numerical experiments using the maxplus toolbox of Scilab confirm the theoretical results obtained.
Document type :
Reports
Complete list of metadata

Cited literature [10 references]  Display  Hide  Download

https://hal.inria.fr/inria-00072263
Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Tuesday, May 23, 2006 - 8:15:19 PM
Last modification on : Friday, February 4, 2022 - 3:10:12 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:01:10 PM

Identifiers

  • HAL Id : inria-00072263, version 1

Collections

Citation

Pablo Lotito, Elina Mancinelli, Jean-Pierre Quadrat. A Minplus Derivation of the Fundamental Car-Traffic Law. [Research Report] RR-4324, INRIA. 2001. ⟨inria-00072263⟩

Share

Metrics

Record views

58

Files downloads

182