Two-lane lattice hydrodynamic model considering the empirical lane-changing rate

2019 ◽  
Vol 73 ◽  
pp. 229-243 ◽  
Author(s):  
Chenqiang Zhu ◽  
Shiquan Zhong ◽  
Shoufeng Ma
Keyword(s):  
Hydrodynamic Model ◽  
Lattice Hydrodynamic Model ◽  
Lane Changing ◽  
Changing Rate

The flux difference memory integral effect on two-lane stability in the lattice hydrodynamic model

2018 ◽  
Vol 29 (09) ◽  
pp. 1850083 ◽  
Author(s):  
Guanghan Peng ◽  
Shuhong Yang ◽  
Hongzhuan Zhao ◽  
Li Qing
Keyword(s):  
Hydrodynamic Model ◽  
Historical Time ◽  
Lattice Hydrodynamic Model ◽  
Theoretic Analysis ◽  
Lane Changing ◽  
Reaction Coefficient ◽  
Integral Effect ◽  
The Stability ◽  
Flux Difference ◽  
Changing Rate

In this paper, the flux difference memory integral (FDMI) effect is introduced into the lattice hydrodynamic model for a two-lane freeway. The FDMI effect plays an important role on the linear stability condition, from theoretic analysis, in a two-lane system. The FDMI effect including the intensity reaction coefficient and the integral historical time are investigated on two lanes via simulation. From numerical simulation, both lane changing rate and FDMI effect strengthening the stability of traffic flow on two lanes is determined.

A new two-lane lattice hydrodynamic model on a curved road accounting for the empirical lane-changing rate

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Qingying Wang ◽  
Rongjun Cheng ◽  
Hongxia Ge
Keyword(s):  
Traffic Flow ◽  
Stability Condition ◽  
Hydrodynamic Model ◽  
Neutral Stability ◽  
Lattice Hydrodynamic Model ◽  
Lane Changing ◽  
Content Type ◽  
Curved Road ◽  
The Stability ◽  
Changing Rate

Purpose The purpose of this paper is to explore how curved road and lane-changing rates affect the stability of traffic flow. Design/methodology/approach An extended two-lane lattice hydrodynamic model on a curved road accounting for the empirical lane-changing rate is presented. The linear analysis of the new model is discussed, the stability condition and the neutral stability condition are obtained. Also, the mKdV equation and its solution are proposed through nonlinear analysis, which discusses the stability of the extended model in the unstable region. Furthermore, the results of theoretical analysis are verified by numerical simulation. Findings The empirical lane-changing rate on a curved road is an important factor, which can alleviate traffic congestion. Research limitations/implications This paper does not take into account the factors such as slope, the drivers’ characters and so on in the actual traffic, which will have more or less influence on the stability of traffic flow, so there is still a certain gap with the real traffic environment. Originality/value The curved road and empirical lane-changing rate are researched simultaneously in a two-lane lattice hydrodynamic models in this paper. The improved model can better reflect the actual traffic, which can also provide a theoretical reference for the actual traffic governance.

Effect of explicit lane changing in traffic lattice hydrodynamic model with interruption

2016 ◽  
Vol 86 (1) ◽  
pp. 269-282 ◽  
Author(s):  
Di-Hua Sun ◽  
Geng Zhang ◽  
Wei-Ning Liu ◽  
Min Zhao ◽  
Sen-Lin Cheng ◽  
...  
Keyword(s):  
Hydrodynamic Model ◽  
Lattice Hydrodynamic Model ◽  
Lane Changing

scholarly journals EFFECTS OF LANGMUIR KINETICS ON TWO-LANE TOTALLY ASYMMETRIC EXCLUSION PROCESSES OF MOLECULAR MOTOR TRAFFIC

2007 ◽  
Vol 18 (09) ◽  
pp. 1483-1496 ◽  
Author(s):  
RUILI WANG ◽  
RUI JIANG ◽  
MINGZHE LIU ◽  
JIMING LIU ◽  
QING-SONG WU
Keyword(s):  
Finite Size ◽  
Exclusion Process ◽  
Mean Field Approximation ◽  
Open Boundary ◽  
Finite Size Effect ◽  
Open Boundary Conditions ◽  
Density Profiles ◽  
Lane Changing ◽  
Langmuir Kinetics ◽  
Changing Rate

In this paper, we study a two-lane totally asymmetric simple exclusion process (TASEP) coupled with random attachment and detachment of particles (Langmuir kinetics) in both lanes under open boundary conditions. Our model can describe the directed motion of molecular motors, attachment and detachment of motors, and free inter-lane transition of motors between filaments. In this paper, we focus on some finite-size effects of the system because normally the sizes of most real systems are finite and small (e.g., size ≤ 10 000). A special finite-size effect of the two-lane system has been observed, which is that the density wall moves left first and then move towards the right with the increase of the lane-changing rate. We called it the jumping effect. We find that increasing attachment and detachment rates will weaken the jumping effect. We also confirmed that when the size of the two-lane system is large enough, the jumping effect disappears, and the two-lane system has a similar density profile to a single-lane TASEP coupled with Langmuir kinetics. Increasing lane-changing rates has little effect on density profiles after the density reaches maximum. Also, lane-changing rate has no effect on density profiles of a two-lane TASEP coupled with Langmuir kinetics at a large attachment/detachment rate and/or a large system size. Mean-field approximation is presented and it agrees with our Monte Carlo simulations.

Lattice hydrodynamic model for two-lane traffic flow on curved road

2016 ◽  
Vol 85 (3) ◽  
pp. 1423-1443 ◽  
Author(s):  
Jie Zhou ◽  
Zhong-Ke Shi ◽  
Chao-Ping Wang
Keyword(s):  
Traffic Flow ◽  
Hydrodynamic Model ◽  
Lattice Hydrodynamic Model ◽  
Curved Road

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

2022 ◽  
Author(s):  
Xiaoqin Li ◽  
Guanghan Peng
Keyword(s):  
Stability Analysis ◽  
Individual Difference ◽  
Early Time ◽  
Mkdv Equation ◽  
Traffic Modeling ◽  
Lattice Hydrodynamic Model ◽  
Lane Changing ◽  
The Individual ◽  
The Impact ◽  
Honk Effect

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.

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