A nonlocal traffic flow model with stochastic velocity

2024/07/03 by Böhme, Timo, Göttlich, Simone, Neuenkirch, Andreas
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2407.02962

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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