Analysis of a new two-lane lattice hydrodynamic model with consideration of the global average flux

A new two-lane traffic lattice hydrodynamic model is proposed with the consideration of the global average-and-optimal flux difference effect based on the local relative flux two-lane lattice model. First, the influence of the global average-and-optimal flux difference on the stability of traffic fl...

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Bibliographic Details
Published in:Nonlinear dynamics 2015-09, Vol.81 (4), p.1623-1633
Main Authors: Zhang, Geng, Sun, Di-Hua, Liu, Wei-Ning
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Computational fluid dynamics
Computer simulation
Control
Critical point
Dynamical Systems
Engineering
Flow stability
Fluid flow
Flux
Lattices
Mathematical analysis
Mathematical models
Mechanical Engineering
Original Paper
Perturbation methods
Solitary waves
Traffic congestion
Traffic engineering
Traffic flow
Traffic jams
Traffic models
Vibration
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Summary:A new two-lane traffic lattice hydrodynamic model is proposed with the consideration of the global average-and-optimal flux difference effect based on the local relative flux two-lane lattice model. First, the influence of the global average-and-optimal flux difference on the stability of traffic flow is investigated through linear stability theory. The results reveal that the unstable region will be shrunk by taking the global average-and-optimal flux difference effect into account. Additionally, by using the reductive perturbation method, the mKdV equation near the critical point is derived and traffic jam transition can be described by its kink–antikink soliton solution. The good agreement between the numerical simulations and the analytical results shows that traffic congestion can be suppressed efficiently by considering the global average-and-optimal flux difference and the local relative flux effects in two-lane traffic system and the local relative flux is more important than the global average-and-optimal flux difference in stabilizing traffic flow.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-015-2095-0