基于尖点突变对交通流模型的研究  

Research on model of traffic flow based on cusp catastrophe

作　　者：郭健 陈兴林[1] 金鸿章[2] 

机构地区：[1]哈尔滨工业大学航天学院 [2]哈尔滨工程大学自动化学院,哈尔滨150001

出　　处：《控制与决策》2008年第2期237-240,共4页Control and Decision

基　　金：国防基础科研项目(J1600B001);黑龙江省博士后基金项目(LBH-Z06094);哈尔滨工程大学校基金项目(HEUFT05061)

摘　　要：传统的交通流模型难以解释某些实测交通流数据出现的非连续的"跳跃"式现象,而基于突变理论的交通流模型则能够较好地从三维空间角度甚至更高维角度予以解释.为此,针对快速道路的交通,利用交通波动理论,将交通流三参数关系模型与尖点突变数学模型相结合,基于突变理论对快速道路交通流模型的临界状态进行分析.分析结果与实际情况相符,从而得出当实际检测到的车流密度接近临界密度时,需要制定相应的交通管制策略和措施.The phenomena of discontinuous jumping, which exist in the datum of observed traffic flow, are hard to be explained by traditional traffic flow model. But they can be explained better by using traffic flow model of catastrophe theory in three-dimensional space or more-dimensional space. To the traffic of high-speed way, by using traffic wave theory, three-parametric relation model of traffic flow is combined with cusp catastrophe mathematic model to analyze the critical state of high-speed way traffic flow model based on catastrophe theory. The results of analysis are coincided with the fact. Thereby the policy and measure of traffic control must be done when the observed density of practical traffic flow is nearby the critical density.

关 键 词：突变理论 尖点突变 交通流 快速道路 

分 类 号：U491[交通运输工程—交通运输规划与管理]