Abstract In this paper we consider a Boltzmann type equation arising in the kinetic vehicle traffic flow model with an acceleration variable. The latter model is improved within the framework of the previously developed approach by introducing a set of random parameters. This enables us to take into account different types of interacting vehicles, as well as various parameters describing skills and behavior of particular drivers. We develop new Monte Carlo algorithms to evaluate probabilistic moments of linear functionals of the solution to the considered equation.

中文翻译：

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用于估计具有随机参数的车辆交通问题的解矩的双重随机化方法

摘要 在本文中，我们考虑在具有加速度变量的动力学车辆交通流模型中出现的玻尔兹曼型方程。通过引入一组随机参数，后一种模型在先前开发的方法的框架内得到改进。这使我们能够考虑不同类型的交互车辆，以及描述特定驾驶员技能和行为的各种参数。我们开发了新的蒙特卡罗算法来评估所考虑方程解的线性泛函的概率矩。