A nonlocal traffic flow model with stochastic velocity
Numerical Analysis
2024-07-04 v1 Numerical Analysis
Abstract
In this paper, we investigate a nonlocal traffic flow model based on a scalar conservation law, where a stochastic velocity function is assumed. In addition to the modeling, theoretical properties of the stochastic nonlocal model are provided, also addressing the question of well-posedness. A detailed numerical analysis offers insights how the stochasticity affects the evolution of densities. Finally, numerical examples illustrate the mean behavior of solutions and the influence of parameters for a large number of realizations.
Keywords
Cite
@article{arxiv.2407.02962,
title = {A nonlocal traffic flow model with stochastic velocity},
author = {Timo Böhme and Simone Göttlich and Andreas Neuenkirch},
journal= {arXiv preprint arXiv:2407.02962},
year = {2024}
}
Comments
36 pages, 7 figures, 1 table