单通道高速公路车流的相互作用力模型研究

An acceleration model for single-lane highway traffic

交通流的研究对于城市化进程非常重要.文章以一个实际例子,阐明了交通物理学研究的主要方式.从交通动力学中的车辆跟随模型出发,综合交通流中车辆依据道路交通情况来调整车辆的运行,以保持在安全前提下的一个较快的速度和合适的车辆间距,建立了适用于单轨道高速公路的相互作用力的微观模型.在单轨道交通条件下,通过解析和数字模拟两种方法来研究该模型的平衡解,并讨论了其在微扰下的稳定性.同时,文章还试图模拟一些已知的交通相,并通过与实际交通现象中的一些特征比较来说明其可行性.此外,还通过建立相应的宏观流体力学模型,与微观模型进行比较,并肯定了其适用性.

Traffic flow is a very important issue in urbanization.Based on the goal of greater speed with less distance between vehicles while maintaining safety,we propose an acceleration model for single-lane highway traffic.Using linear analysis and numerical simulation,we analyze the equilibrium state solution and its stability under certain perturbations.Several known traffic phases,such as the free,congested,and jam states,are simulated numerically and compared with realistic situations.The applicability of this model is demonstrated through comparison with its related macroscopic model.