Accelerated kinetic Monte Carlo methods for general nonlocal traffic flow models

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 with global design an accelerated reduce computational complexity in evaluation transition rates. investigate several numerical experiments demonstrate efficiency algorithm, and obtain fundamental diagrams dynamics under various parameter settings.