Accelerated Kinetic Monte Carlo methods for general nonlocal traffic flow models
Numerical Analysis
2023-02-15 v1 Numerical Analysis
Cellular Automata and Lattice Gases
Physics and Society
Abstract
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.
Keywords
Cite
@article{arxiv.2207.06493,
title = {Accelerated Kinetic Monte Carlo methods for general nonlocal traffic flow models},
author = {Yi Sun and Changhui Tan},
journal= {arXiv preprint arXiv:2207.06493},
year = {2023}
}
Comments
22 pages, 6 figures. arXiv admin note: substantial text overlap with arXiv:2001.10017