Abstract

By accounting for the traffic interruption probability on two-lane highway under honk environment, an extended lattice hydrodynamic model is presented in the paper. In view of the novel model, a series of researches are carried out. The neutral stability condition and the stable condition can be derived through linear analysis. Then, the mKdV equation near the critical point can be obtained by applying nonlinear analysis, which describes the traffic jams according to the kink-antikink density waves. In addition, numerical simulation is performed, which confirms that traffic interruption probability on two-lane highway under honk environment can develop traffic jams by the change of density waves. Also, the phenomenon is consistent with the results of previous theoretical analysis. It shows that accounting for the traffic interruption probability on two-lane highway under honk environment can stabilize the traffic flow efficiently.

Highlights

  • In recent years, with the development of social science and technology and the improvement of living standards, the proportion of transportation is getting higher and higher in people’s daily life. erefore, it is not difficult to find that the phenomenon of traffic congestion has become general and severe

  • In the previous research, considering that there is no similar work about it, we propose an improved two-lane lattice hydrodynamic model, which accounts for the traffic interruption probability under honk environment

  • Is paper is organized as follows: Section 2 is developed to discuss the new two-lane lattice hydrodynamic model accounting for the traffic interruption probability under honk environment

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Summary

Introduction

With the development of social science and technology and the improvement of living standards, the proportion of transportation is getting higher and higher in people’s daily life. erefore, it is not difficult to find that the phenomenon of traffic congestion has become general and severe. Different from the carfollowing models, the research direction of lattice hydrodynamic model is the change of traffic flow and density between adjacent interval vehicles. It is a shift in research direction from micro to macro On this basis, the study of lattice hydrodynamic model has become more and more colorful, and a lot of factors affecting the traffic flow have been considered, such as driver’s anticipation [12,13,14,15,16], driver’s visual angle [17], partial reduced lane [18,19,20], and so on. In the previous research, considering that there is no similar work about it, we propose an improved two-lane lattice hydrodynamic model, which accounts for the traffic interruption probability under honk environment. Is paper is organized as follows: Section 2 is developed to discuss the new two-lane lattice hydrodynamic model accounting for the traffic interruption probability under honk environment.

The Modified Lattice Hydrodynamic Model
Linear Stability Analysis
Nonlinear Analysis
Numerical Simulation
Stable
40 Lattice

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