Citation

Bertino E, Duvigneau R, Goatin P. Math. Biosci. Eng. 2019; 17(2): 1511-1533.

Affiliation

Inria Sophia Antipolis - Méditerranée, Université Côte d'Azur, Inria, CNRS, LJAD, 2004 route des Lucioles - BP 93, 06902 Sophia Antipolis Cedex, France.

Copyright

(Copyright © 2019, American Institute of Mathematical Sciences)

DOI

10.3934/mbe.2020078

PMID

32233592

Abstract

The objective of this paper is to analyze the inclusion of one or more random parameters into the deterministic Lighthill-Whitham-Richards traffic flow model and use a semi-intrusive approach to quantify uncertainty propagation. To verify the validity of the method, we test it against real data coming from vehicle embedded GPS systems, provided by Autoroutes Trafic.

Language: en

Keywords

macroscopic traffic flow models ; real data ; stochastic conservation laws ; stochastic parameters ; uncertainty quantification