Nonlinear Analysis of a New Extended Lattice Model With Consideration of Multi-Anticipation and Driver Reaction Delays

被引：4

作者：

Chen, Jianzhong ^{[1
]}

Shi, Zhongke ^{[1
]}

Yu, Lei ^{[1
]}

Peng, Zhiyuan ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Coll Automat, Xian 710072, Shaanxi, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS | 2014年 / 9卷 / 03期

基金：

中国国家自然科学基金;

关键词：

multianticipation; reaction-time delay; lattice model; traffic flow; nonlinear analysis; CAR-FOLLOWING MODEL; MODIFIED KDV EQUATION; TRAFFIC FLOW; JAMMING TRANSITION; DYNAMICAL MODEL; PHYSICAL DELAY; REACTION-TIME; STABILIZATION; INFORMATION; DIFFERENCE;

D O I：

10.1115/1.4026444

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

A new extended lattice model of traffic flow is presented by taking into account both multianticipative behavior and the reaction-time delay of drivers. The linear stability theory and the nonlinear analysis method are applied to the model. The linear stability condition is obtained. The Korteweg-de Vries (KdV) equation near the neutral stability line and the modified Korteweg-de Vries (mKdV) equation near the critical point are derived. The numerical results show that the stability of traffic flow will be enhanced by multianticipative consideration and will be weakened with the increase of the reaction-time delay. The unfavorable effect induced by driver reaction delays can be partly compensated by considering multianticipative behavior.

引用

页数：8

共 34 条

[1] DYNAMICAL MODEL OF TRAFFIC CONGESTION AND NUMERICAL-SIMULATION [J].

BANDO, M ;

HASEBE, K ;

NAKAYAMA, A ;

SHIBATA, A ;

SUGIYAMA, Y .

PHYSICAL REVIEW E, 1995, 51 (02) :1035-1042

[2] Analysis of optimal velocity model with explicit delay [J].

Bando, M ;

Hasebe, K ;

Nakanishi, K ;

Nakayama, A .

PHYSICAL REVIEW E, 1998, 58 (05) :5429-5435

[3] STABILIZATION ANALYSIS OF A MULTIPLE LOOK-AHEAD MODEL WITH DRIVER REACTION DELAYS [J].

Chen, Jianzhong ;

Shi, Zhongke ;

Hu, Yanmei .

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2012, 23 (06)

[4] Modifications of the optimal velocity traffic model to include delay due to driver reaction time [J].

Davis, LC .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 319 :557-567

[5] The Korteweg-de Vries soliton in the lattice hydrodynamic model [J].

Ge, H. X. .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2009, 388 (08) :1682-1686

[6] Time-dependent Ginzburg-Landau equation in a car-following model considering the driver's physical delay [J].

Ge, Hong-xia ;

Meng, Xiang-pei ;

Cheng, Rong-jun ;

Lo, Siu-Ming .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2011, 390 (20) :3348-3353

[7] Stabilization analysis and modified Korteweg-de Vries equation in a cooperative driving system [J].

Ge, HX ;

Dai, SQ ;

Xue, Y ;

Dong, LY .

PHYSICAL REVIEW E, 2005, 71 (06)

[8] KdV and kink-antikink solitons in car-following models [J].

Ge, HX ;

Cheng, RJ ;

Dai, SQ .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 357 (3-4) :466-476

[9]

HELLY W, 1959, INT S THEOR TRAFF FL, P207

[10] KdV and Kink-Antikink Solitons in an Extended Car-Following Model [J].

Jin, Yanfei ;

Xu, Meng ;

Gao, Ziyou .

JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2011, 6 (01)

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