On a class of new nonlocal traffic flow models with look-ahead rules

PHYSICA D-NONLINEAR PHENOMENA

卷:413

Article

Sun, Yi¹  Tan, Changhui¹ 

[1] Univ South Carolina, Dept Math, 1523 Greene St, Columbia, SC 29208 USA

关键词: Traffic flow;    Cellular automata model;    Nonlocal macroscopic models;    Multiple jumps;    Kinetic Monte Carlo;   

DOI  :  10.1016/j.physd.2020.132663

来源: Elsevier

【 摘 要 】

This paper presents a new class of one-dimensional (ID) traffic models with look-ahead rules that take into account of two effects: nonlocal slow-down effect and right-skewed non-concave asymmetry in the fundamental diagram. The proposed ID cellular automata (CA) models with the Arrhenius type look-ahead interactions implement stochastic rules for cars' movement following the configuration of the traffic ahead of each car. In particular, we take two different look-ahead rules: one is based on the distance from the car under consideration to the car in front of it; the other one depends on the car density ahead. Both rules feature a novel idea of multiple moves, which plays a key role in recovering the non-concave flux in the macroscopic dynamics. Through a semi-discrete mesoscopic stochastic process, we derive the coarse-grained macroscopic dynamics of the CA model. We also design a numerical scheme to simulate the proposed CA models with an efficient list-based kinetic Monte Carlo (KMC) algorithm. Our results show that the fluxes of the KMC simulations agree with the coarse-grained macroscopic averaged fluxes for the different look-ahead rules under various parameter settings. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free