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Research Papers

A New Extended Multiple Car-Following Model Considering the Backward-Looking Effect on Traffic Flow

[+] Author and Article Information
Shuhong Yang

Key Laboratory of Dependable Service Computing in Cyber Physical Society,
Chongqing University,
Ministry of Education,
No. 174 Shazhengjie, Shapingba,
Chongqing, 400044, P. R. C.;
Department of Computer Engineering,
Guangxi University of Technology,
No. 268 Donghuan, Chengzhong,
LiuZhou, Guangxi, 545006, P. R. C.
e-mail: netysh2005@sina.com

Dihua Sun

Key Laboratory of Dependable Service
Computing in Cyber Physical Society,
Chongqing University,
Ministry of Education,
No. 174 Shazhengjie, Shapingba,
Chongqing, 400044, P. R. C.

Chungui Li

Department of Computer Engineering,
Guangxi University of Technology,
No. 268 Donghuan, Chengzhong,
LiuZhou, Guangxi, 545006, P. R. C.
e-mail: liza4323@163.com

Contributed by the Design Engineering Division for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received February 23, 2011; final manuscript received July 10, 2012; published online August 31, 2012. Assoc. Editor: Yoshiaki Terumichi.

J. Comput. Nonlinear Dynam 8(1), 011016 (Aug 31, 2012) (6 pages) Paper No: CND-11-1026; doi: 10.1115/1.4007310 History: Received February 23, 2011; Revised July 10, 2012

To make full use of the newly available information provided by the intelligent transportation system (ITS), we presented a new car-following model applicable to automated driving control, which will be realized in the near future along with the rapid development of ITS. In this model, the backward-looking effect and the information inputs from multiple leading cars in traffic flow are considered at the same time. The linear stability criterion of this model is obtained using linear stability theory. Furthermore, the nonlinear analysis method is employed to derive the modified Korteweg-de Vries (mKdV) equation, whose kink-antikink soliton solution is then used to describe the occurrence of traffic jamming transitions. The numerical simulation of the presented model is carried out. Both the analytical analysis and numerical simulation show that the traffic jam is suppressed efficiently by just considering the information of two leading cars and a following one.

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Figures

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Fig. 1

Neutral stability curves in the headway-sensitivity space

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Fig. 4

Snapshot of the velocities of all vehicles at t = 500 s for the BLAMCF model and MCF model

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Fig. 2

Space-time evolution of the headway after t = 10,000. The patterns (a), (b) are for the MCF model, and the patterns (c), (d) are for the BLAMCF model.

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Fig. 3

Loops for the OV model, MCF model, and BLAMCF: (a) m = 1 for all the three models, (b) m = 1 for OV model, and m = 2 for the other two models

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