Analysis of anticipation driving effect in traffic lattice hydrodynamic model with on-ramp

A new traffic lattice hydrodynamic model with on-ramp is proposed with consideration of driver’s anticipation effect according to transportation cyber physical systems. The neutral stability condition of the new model is obtained through linear stability analysis theory. The results show that the st...

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Bibliographic Details
Published in:Nonlinear dynamics 2015-07, Vol.81 (1-2), p.907-916
Main Authors: Sun, Di-Hua, Zhang, Geng, Liu, Wei-Ning, Zhao, Min, Cheng, Sen-Lin
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Computer simulation
Control
Critical point
Cyber-physical systems
Dynamical Systems
Engineering
Jamming
Mechanical Engineering
Original Paper
Perturbation methods
Phase diagrams
Stability analysis
Traffic models
Traffic volume
Vibration
Wave propagation
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Summary:A new traffic lattice hydrodynamic model with on-ramp is proposed with consideration of driver’s anticipation effect according to transportation cyber physical systems. The neutral stability condition of the new model is obtained through linear stability analysis theory. The results show that the stable region on the phase diagram will be enlarged by considering driver’s anticipation effect but shrunk with the consideration of on-ramp effect. In order to depict traffic jamming transition, the modified Korteweg-de Vries (mKdV) equation near the critical point is derived via nonlinear reductive perturbation method. The propagation behavior of traffic density wave can be described by the kink–antikink solution of the mKdV equation. Numerical simulations are conducted to verify the analytical results, and all the results confirm that both driver’s anticipation effect and on-ramp effect affect the traffic stability of the main road importantly.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-015-2039-8