A new lattice hydrodynamic model with the consideration of flux change rate effect

被引：19

作者：

Sun, Dihua ^{[1
,2
]}

Liu, Hui ^{[1
,3
]}

Zhang, Geng ^{[4
]}

机构：

[1] Chongqing Univ, Minist Educ, Cyber Phys Soc, Key Lab Dependable Serv Comp, Chongqing 400044, Peoples R China

[2] Chongqing Univ, Coll Automat, Chongqing 400044, Peoples R China

[3] Chongqing Univ Arts & Sci, Coll Mech & Elect Engn, Chongqing 402160, Peoples R China

[4] Southwest Univ, Coll Comp & Informat Sci, Chongqing 400715, Peoples R China

来源：

NONLINEAR DYNAMICS | 2018年 / 92卷 / 02期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Traffic flow; Lattice hydrodynamic model; MKdV equation; Flux change rate; 2-LANE TRAFFIC FLOW; OPTIMAL CURRENT DIFFERENCE; DELAYED-FEEDBACK-CONTROL; CAR-FOLLOWING MODEL; JAMMING TRANSITION; DRIVERS CHARACTERISTICS; STATISTICAL PHYSICS; MKDV EQUATIONS; CURVED ROAD; VEHICLE;

D O I：

10.1007/s11071-018-4059-7

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

A new lattice hydrodynamic traffic flow model is proposed by considering the preceding lattice site's flux change rate effect. Using linear stability theory, stability condition of the presented model is obtained. It is shown that the stability region significantly enlarges as the flux change rate effect increases. To describe the propagation behavior of a density wave near the critical point, nonlinear analysis is conducted and mKdV equation representing kink-antikink soliton is derived. To verify the theoretical findings, numerical simulation is conducted which confirms that preceding lattice site's flux change rate can improve the stability of traffic flow effectively.

引用

页码：351 / 358

页数：8

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