An Extended Mean-Field Lattice Hydrodynamic Model With Consideration of the Average Effect of Multi-Lattice Interaction

In this paper, an extended mean-field lattice hydrodynamic model is proposed which considers the average effect of multi-lattices interaction. By stability analysis, the linear stability criterion of the proposed model is given. Through nonlinear analysis, we derive the mKdV equation to investigate...

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Bibliographic Details
Published in:IEEE access 2019, Vol.7, p.168798-168804
Main Authors: Zhou, Zhao-Min, Zhao, Min, Chen, Dong, Zhang, Yi-Cai, Sun, Di-Hua
Format: Article
Language:English
Subjects:
Atmospheric modeling
Hydrodynamics
lattice hydrodynamic model
Lattices
Mathematical model
Mathematical models
Mean field
multi-lattices interaction
Nonlinear analysis
Numerical models
Roads
stability
Stability analysis
Stability criteria
Traffic congestion
Traffic flow
Traffic jams
Traffic volume
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Summary:In this paper, an extended mean-field lattice hydrodynamic model is proposed which considers the average effect of multi-lattices interaction. By stability analysis, the linear stability criterion of the proposed model is given. Through nonlinear analysis, we derive the mKdV equation to investigate the traffic jams described by traffic density wave. Then, the numerical simulations are carried out. The simulation results show that that the average effect of multi-lattices interaction plays the great important part in curbing traffic congestion. Increasing the impact of the mean-field multi-lattices interaction can curb the congestion effectively and make the traffic system more stable.
ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2019.2952416