A new lattice hydrodynamic model for two-lane traffic with the consideration of density difference effect

被引：67

作者：

Wang, Tao ^{[1
,2
]}

Gao, Ziyou ^{[1
]}

Zhang, Jing ^{[3
]}

Zhao, Xiaomei ^{[1
]}

机构：

[1] Beijing Jiaotong Univ, MOE Key Lab Urban Transportat Complex Syst Theory, Beijing 100044, Peoples R China

[2] Qingdao Univ Sci & Technol, Sch Automat & Elect Engn, Qingdao 266042, Peoples R China

[3] Qingdao Univ Sci & Technol, Sch Math & Phys, Qingdao 266061, Peoples R China

来源：

NONLINEAR DYNAMICS | 2014年 / 75卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Density difference; Lattice hydrodynamic model; Traffic flow; mKdV equation; CELLULAR-AUTOMATON MODEL; CAR-FOLLOWING MODEL; JAMMING TRANSITIONS; PHASE-TRANSITION; FLOW; STATES; STABILIZATION; EQUATION; DIAGRAM; KDV;

D O I：

10.1007/s11071-013-1046-x

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

A new lattice hydrodynamic model for two-lane traffic flow is proposed by introducing the density difference effect (DDE). Using linear stability theory, stability condition of the presented model is obtained. Jamming transitions among the freely moving phase, the coexisting phase, and the uniform congested phase are investigated by employing nonlinear analysis. The modified KdV (mKdV) equation near the critical point is derived and the kink-antikink soliton solutions are obtained. Numerical simulations are presented to verify analytical results, showing that DDE can improve the stability of traffic flow effectively.

引用

页码：27 / 34

页数：8

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