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高速跟驰交通流动力学模型研究
引用本文:陈永,张薇. 高速跟驰交通流动力学模型研究[J]. 物理学报, 2020, 0(6): 146-158
作者姓名:陈永  张薇
作者单位:兰州交通大学电子与信息工程学院;兰州交通大学交通运输学院
基金项目:国家自然科学基金(批准号:61841303,61963023)资助的课题~~
摘    要:为研究道路交通中的高速跟驰物理现象,针对高速跟驰车辆特点,综合考虑了驾驶员换道决策行为以及随机慢化等因素,结合前景理论等方法,提出了一种用于模拟道路交通流中高速跟驰物理现象的动力学模型(简称HCCA模型).通过计算机数值模拟,研究了高速跟驰交通流物理现象演化机理及高速跟驰特性.结果表明:与对称的双车道元胞自动机动力学模型相比,本文建立的HCCA动力学模型能够再现道路高速跟驰物理现象,并得到了道路小间距高速跟驰率超过7%的结果与实测结果相符合,最后模拟得到了丰富的交通物理现象,再现了自由流、同步流及运动阻塞等复杂交通物理现象.

关 键 词:交通流  高速跟驰  动力学模型  元胞自动机

Dynamic model of high speed following traffic flow
Chen Yong,Zhang Wei. Dynamic model of high speed following traffic flow[J]. Acta Physica Sinica, 2020, 0(6): 146-158
Authors:Chen Yong  Zhang Wei
Affiliation:(School of Electronic and Information Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China;School of Traffic and Transportation,Lanzhou Jiaotong University,Lanzhou 730070,China)
Abstract:For the physical phenomenon of high-speed car following in the road traffic flow,all the vehicles with small spacing do not run at low speed.The speeds of the vehicles are significantly higher than those they normally should be when they are in this vehicles’s density.There are more than 7%of high-speed following vehicles in the measured data.At present,the traditional traffic flow model cannot simulate the phenomenon of high-speed car following,so a new nonlinear dynamic mathematical model is needed to describe and analyze the physical phenomenon.In order to study the physical phenomenon of high-speed car following in road traffic,a traffic flow dynamics model for simulating the phenomena is proposed,which combines with the prospect theory and takes into account some factors such as driver’s decision-making behavior and randomization.It is called HCCA(high-speed car following celluar automat)model.In the model,the prospect theory is used to analyze the driver’s lane changing behavior under the uncertain conditions.Combined with the characteristics of the radical driver,the dynamic prediction speed is considered for the front car followed by the radical driver,and the HCCA dynamics rules of high-speed following traffic flow mechanics are defined.By the computer numerical simulation,the evolution mechanism and the characteristics of high-speed car-following flow are studied.The results show that compared with the symmetric two-lane cellular automata(STCA)dynamic model,the HCCA dynamic model established in this paper can simulate abundant traffic physical phenomena,and reproduce complex traffic phenomena such as free flow,synchronous flow and wide-range motion congestion.Finally,the phenomenon of high-speed car following is simulated and the results of high-speed car following rate over 7%with small spacing are in good agreement with the measured results.It overcomes the shortage that traditional STCA model cannot simulate the synchronous flow.It is found that the larger the proportion of radical drivers,the larger the high-speed car following rate and traffic flow with small spacing are under the same road density.The high-speed car following traffic flow mechanics model proposed in this paper has a certain reference significance and practical value for analyzing the physical phenomenon of high-speed car following and enriching the traffic flow theory.
Keywords:traffic flow  high speed car-following  dynamic model  cellular automata
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