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.

翻译：本文研究了一种基于标量守恒律的非局部交通流模型，其中假设了随机速度函数。除建模外，本文还给出了该随机非局部模型的理论性质，并讨论了适定性问题。详细的数值分析揭示了随机性如何影响密度的演化过程。最后，通过数值算例展示了解的平均行为以及参数对大量实现结果的影响。