摘要
In order to describe the compressibility of traffic flows and determine the compression factors, the Mach number of gas dynamics is introduced, and the concept and the formula of the compression factor are obtained. According to the concept of the compression factor and its differential equation, a stop-wave model is built. The theoretical value and the observed one are obtained by the survey data in Changchun city. The relative error between the two values is 20. 3%. The accuracy is improved 39% compared with the result from the traditional stop-wave model. The results show that the traffic flow is compressible, and the methods of research on gas compressibility is also applicable to the traffic flow. The stop-wave model obtained by the compression factor can better describe the phenomenon of the stop wave at a signalized intersection when compared with the traditional stop-wave model.
为了描述交通流的压缩性并确定交通流压缩系数,将气体动力学中的Mach数引入交通流研究中,得到交通流压缩系数的定义及计算公式.根据交通流压缩系数的定义及其微分方程,建立了停车波模型.根据长春市实际调查数据,对模型进行计算及验证,得到停车波波速的理论值,该值与观测值之间的相对误差为20.3%,与传统停车波模型的计算结果相比,精度提高了39%.结果表明:交通流具有可压缩性,研究气体流压缩性的方法同样适用于交通流;与传统停车波模型相比,由交通流压缩系数计算公式得到的停车波模型能更好地描述信号交叉口的停车波现象.
基金
The National Basic Research Program of China (973Pro-gram)(No.2006CB705505)
