重庆理工大学学报2024，Vol.38Issue(9)：48-54,7.DOI:10.3969/j.issn.1674-8425(z).2024.05.006
考虑多前车位置及分位数速度差跟驰模型稳定性分析
Stability analysis of car-following model considering multiple ahead vehicle positions and quantile velocity difference
摘要
Abstract
To investigate the influence of traffic flow characteristics on vehicle following behavior, this paper improves the car following model based on quantile regression method and describes the traffic congestion by the distance between the space headway through the stability analysis method.The optimized speed function in the model is improved based on the quantile regression method and it is applied to the car following model considering the position and velocity difference of multiple ahead vehicles, ensuring it can simulate vehicles with different driving styles in the simulation process by changing the quantile points.The linear stability conditions of the model are derived using Fourier transform theory, and the solution to the modified Korteweg-de Vries ( mKdV ) equation is obtained by using perturbation method, and the knot-anti-knot solution of the headway is obtained to describe the evolution of traffic congestion.The stability critical curves of the car-following models considering different factors are analyzed and compared.To evaluate the effectiveness of the improved model, a simulation platform for a circular roadway is built to perform numerical experiments on the improved model.Our results show the average speed of the improved model to reach the stable state gradually increases with the rises of the quantile points, and the vehicle speeds are 9.57 m/s, 12.58 m/s and 14.76 m/s respectively.Compared with the original model, the improved model achieves less displacement fluctuation and its minimum displacement difference is 1.05 m.In the mixed model experiment, with the growing number of vehicles with aggressive driving style, the average speed of the whole fleet reaches 12.42 m/s, and the displacement fluctuation reaches a stable state.关键词
交通工程/跟驰模型/多前车位置/分位数回归/稳定性分析Key words
traffic engineering/car-following model/multiple vehicles ahead position/quantile regression/stability analysis分类
交通工程引用本文复制引用
潘义勇,全勇俊..考虑多前车位置及分位数速度差跟驰模型稳定性分析[J].重庆理工大学学报,2024,38(9):48-54,7.基金项目
国家自然科学基金项目(51508280) （51508280）
