论文标题
一般非局部交通流量模型的加速动力学蒙特卡洛方法
Accelerated Kinetic Monte Carlo methods for general nonlocal traffic flow models
论文作者
论文摘要
本文在交通流上介绍了一类一维蜂窝自动机（CA）模型，其中包含非本地外观相互作用。我们开发动力学蒙特卡洛（KMC）算法来模拟动力学。对于具有全局相互作用的模型，标准KMC方法可能降低。我们设计了一种加速的KMC方法，以降低非局部过渡速率评估的计算复杂性。我们研究了几个数值实验，以证明加速算法的效率，并在各种参数设置下获得动力学的基本图。
This paper presents a class of one-dimensional cellular automata (CA) models on traffic flows, featuring nonlocal look-ahead interactions. We develop kinetic Monte Carlo (KMC) algorithms to simulate the dynamics. The standard KMC method can be inefficient for models with global interactions. We design an accelerated KMC method to reduce the computational complexity in the evaluation of the nonlocal transition rates. We investigate several numerical experiments to demonstrate the efficiency of the accelerated algorithm, and obtain the fundamental diagrams of the dynamics under various parameter settings.
