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arXiv · 2407.02962

A nonlocal traffic flow model with stochastic velocity

Timo Böhme·Simone Göttlich·Andreas Neuenkirch
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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.

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Timo Böhme, Simone Göttlich, Andreas Neuenkirch. 2024-07-03. A nonlocal traffic flow model with stochastic velocity. https://arxiv.org/abs/2407.02962

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