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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.
In order to describe the compressibility of traffic flow and determine the compression factor of traffic flow, the Mach number in gas dynamics is introduced into the research of traffic flow to get the definition and calculation formula of traffic flow compression factor.According to the definition of traffic flow compression coefficient and its differential equation , The parking wave model is established.According to the actual survey data in Changchun City, the model is calculated and verified, and the theoretical value of parking wave velocity is obtained.The relative error between this value and the observed value is 20.3%. Compared with the calculation of the traditional parking wave model Compared with the traditional parking wave model, the accuracy is improved by 39%. The results show that the traffic flow is compressible, and the method of studying the compressibility of gas flow is also applicable to traffic flow. Compared with the traditional parking wave model, The parking wave model can better describe the parking wave phenomenon at the signalized intersection.