交通运输系统工程与信息

交通运输系统工程与信息 ›› 2002, Vol. 2 ›› Issue (1): 42-44 .

• 系统工程理论与方法 • 上一篇    下一篇

与车辆跟驰理论统一的一维交通流动力模型研究

徐伟民1， 熊烈强2   

  1. 1.武汉工业学院，武汉 430023; 2.武汉理工大学ITS研究中心，武汉 430063
  • 收稿日期:2001-09-21 修回日期:1900-01-01 出版日期:2002-02-01 发布日期:2002-02-01

A Study of the Kinetic Model Congruent with Car-Following
Theory in One-Dimensional Traffic Flow

XU Wei-min1， XIONG Lie-qiang2   

  1. 1.Wuhan Industry College,Wuhan 430023,China; 2.ITS Center,
    Wuhan University of Technology, Wuhan 430063, China
  • Received:2001-09-21 Revised:1900-01-01 Online:2002-02-01 Published:2002-02-01

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摘要： 从交通流的连续性假设开始将交通流中的每一个参数(包括交通压力)都在流体流中
找到了恰当的比拟.通过理论推导，得出了类似一维可压缩理想流体流动的交通流连续性方
程、欧拉微分方程和动量方程.并从一维定常交通流的分析研究中，得出了交通压力的数学表
达式.从而得出了由连续性方程、欧拉微分方程、交通压力表达式和状态方程构成的一维交通
流动力模型，论证了该模型与车辆跟驰理论是统一的.

关键词: 交通流, 交通压力, 车辆跟驰, 模型

Abstract: Alaking a continuum hypothesis, comparing all Parameters (including the traffic pressure) in traffic with in fluid exactly and a series theoretical study, it gives continuity
Equation, Euler differentiating equation and momentum equation in traffic as in one-dimensional compressible ideal fluid flaw. It presents the functional relation of the pressure from the research in one-dimensional steady traffic. and the kinetic model that includes the continuity
Equation, E uler differentiating equation, pressure function and flow function in one-dimensional traffic flow. Last. It proves the congruity between the kinetic model and the car- following theory.

Key words: traffic flow, traffic pressure, car-following theory, model