A new continuum model based on full velocity difference model considering traffic jerk effect

被引：41

作者：

Cheng, Rongjun ^{[1
,2
,3
]}

Liu, Fangxun ^{[1
,2
,3
]}

Ge, Hongxia ^{[1
,2
,3
]}

机构：

[1] Ningbo Univ, Fac Maritime & Transportat, Ningbo 315211, Zhejiang, Peoples R China

[2] Ningbo Univ Subctr, Natl Traff Management Engn & Technol Res Ctr, Ningbo 315211, Zhejiang, Peoples R China

[3] Jiangsu Prov Collaborat Innovat Ctr Modern Urban, Nanjing 210096, Jiangsu, Peoples R China

来源：

NONLINEAR DYNAMICS | 2017年 / 89卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Traffic flow; Continuum model; KdV-Burgers equation; Traffic jerk; CAR-FOLLOWING MODEL; LATTICE HYDRODYNAMIC MODEL; KDV-BURGERS EQUATION; JAMMING TRANSITION; NUMERICAL TESTS; KINEMATIC WAVES; CURVED ROAD; TIME-DELAY; FLOW; ANTICIPATION;

D O I：

10.1007/s11071-017-3477-2

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, a new continuum model is developed based on full velocity difference car-following model, which takes the traffic jerk effect into account. The critical condition for traffic flow is derived, and density waves occur in traffic flow because of the small disturbance. Near the neutral stability line, nonlinear analysis is taken to derive the KdV-Burgers equation for describing the density wave, and one of the solutions is given. Numerical simulation is carried out to show the local traffic described by the model.

引用

页码：639 / 649

页数：11

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