A new continuum model with driver's continuous sensory memory and preceding vehicle's taillight  

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作  者:Cong Zhai Weitiao Wu 

机构地区:[1]School of Transportation and Civil Engineering and Architecture,Foshan University,Foshan 528000 Guangdong,China [2]School of Civil Engineering and Transportation,South China University of Technology,Guangzhou 510641 Guangdong,China

出  处:《Communications in Theoretical Physics》2020年第10期29-41,共13页理论物理通讯(英文版)

基  金:jointly supported by the Foundation and Applied Research Funds Project of Guangdong,China(Project No.2019A1515111200);the Youth Innovation Talents Funds of Colleges and Universities in Guangdong Province(Project Nos.2018KQNCX287,2019KTSCX008);the Science and Technology Program of Guangzhou,China(Project No.201904010202);the National Science Foundation of China(Project No.61703165)。

摘  要:Car taillights are ubiquitous during the deceleration process in real traffic,while drivers have a memory for historical information.The collective effect may greatly affect driving behavior and traffic flow performance.In this paper,we propose a continuum model with the driver's memory time and the preceding vehicle's taillight.To better reflect reality,the continuous driving process is also considered.To this end,we first develop a unique version of a car-following model.By converting micro variables into macro variables with a macro conversion method,the micro carfollowing model is transformed into a new continuum model.Based on a linear stability analysis,the stability conditions of the new continuum model are obtained.We proceed to deduce the modified KdV-Burgers equation of the model in a nonlinear stability analysis,where the solution can be used to describe the propagation and evolution characteristics of the density wave near the neutral stability curve.The results show that memory time has a negative impact on the stability of traffic flow,whereas the provision of the preceding vehicle's taillight contributes to mitigating traffic congestion and reducing energy consumption.

关 键 词:memory time preceding vehicle's taillight continuum model stability modified KdV-Burgers equation 

分 类 号:U463.6[机械工程—车辆工程]

 

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