A novel lattice hydrodynamic model accounting for individual difference of honk effect for two-lane highway under V2X environment

Author:

Li Xiaoqin1,Peng Guanghan2

Affiliation:

1. College of Mathematics and Physics Science, Hunan University of Arts and Science, Changde 415000, P. R. China

2. College of Physical Science and Technology, Guangxi Normal University, Guilin 541004, P. R. China

Abstract

In this work, the individual difference of the honk effect is explored on two lanes via traffic modeling of the lattice model under Vehicle to X (V2X) environment. We study the impact of individual difference corresponding to honk cases on traffic stability through linear stability analysis for a two-lane highway. Furthermore, the mKdV equation under the lane changing phenomena is conducted via nonlinear analysis. Simulation cases for the early time and longtime impact reveal that individual difference of driving characteristics has a distinct impact on two lanes under the whistling environment.

Funder

the National Natural Science Foundation of China

Guangxi Natural Science Foundation

Guangxi Innovation-Driven Development Special Fund Project

the Scientific Research Fund of Hunan Provincial Education Department, China

the Doctor Scientific Research Startup Project Foundation of Hunan University of Arts and Science, China

the Project of the Scientific Research Foundation of Hunan University of Arts and Science, China

Publisher

World Scientific Pub Co Pte Ltd

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

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