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Nonlinear density wave investigation for an extended car-following model considering driver’s memory and jerk

Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China

Jiangsu Province Collaborative Innovation Center for, Modern Urban Traffic Technologies, Nanjing 210096, China

National Traffic Management Engineering and Technology Research Centre, Ningbo University Sub-centre, Ningbo 315211, China

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Zhipeng Li

The Key Laboratory of Embedded System and Service Computing, Ministry of Education, Tongji University, Shanghai 201804, China

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Rongjun Cheng

Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China

Jiangsu Province Collaborative Innovation Center for, Modern Urban Traffic Technologies, Nanjing 210096, China

National Traffic Management Engineering and Technology Research Centre, Ningbo University Sub-centre, Ningbo 315211, China

E-mail Address: chengrongjun@nbu.edu.cn

Corresponding author.

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, and

Hongxia Ge

Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China

Jiangsu Province Collaborative Innovation Center for, Modern Urban Traffic Technologies, Nanjing 210096, China

National Traffic Management Engineering and Technology Research Centre, Ningbo University Sub-centre, Ningbo 315211, China

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https://doi.org/10.1142/S0217984917503663Cited by:21 (Source: Crossref)

Abstract

Based on the two velocity difference model (TVDM), an extended car-following model is developed to investigate the effect of driver’s memory and jerk on traffic flow in this paper. By using linear stability analysis, the stability conditions are derived. And through nonlinear analysis, the time-dependent Ginzburg–Landau (TDGL) equation and the modified Korteweg–de Vries (mKdV) equation are obtained, respectively. The mKdV equation is constructed to describe the traffic behavior near the critical point. The evolution of traffic congestion and the corresponding energy consumption are discussed. Numerical simulations show that the improved model is found not only to enhance the stability of traffic flow, but also to depress the energy consumption, which are consistent with the theoretical analysis.

Keywords:

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