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.

A new lattice hydrodynamic model for bidirectional pedestrian flow with consideration of pedestrians’ honk effect

2020 ◽  
Vol 31 (02) ◽  
pp. 2050031 ◽  
Author(s):  
Cong Zhai ◽  
Weitiao Wu
Keyword(s):  
Stability Analysis ◽  
Hydrodynamic Model ◽  
Mkdv Equation ◽  
Neutral Stability ◽  
Neutral Stability Curve ◽  
Lattice Hydrodynamic Model ◽  
Pedestrian Flow ◽  
Stability Curve ◽  
The Stability ◽  
Honk Effect

Understanding the pedestrian behavior contributes to traffic simulation and facility design/redesign. In practice, the interactions between individual pedestrians can lead to virtual honk effect, such as urging surrounding pedestrians to walk faster in a crowded environment. To better reflect the reality, this paper proposes a new lattice hydrodynamic model for bidirectional pedestrian flow with consideration of pedestrians’ honk effect. To this end, the concept of critical density is introduced to define the occurrence of pedestrians’ honk event. In the linear stability analysis, the stability condition of the new bidirectional pedestrian flow model is given based on the perturbation method, and the neutral stability curve is also obtained. Based on this, it is found that the honk effect has a significant impact on the stability of pedestrian flow. In the nonlinear stability analysis, the modified Korteweg–de Vries (mKdV) equation of the model is obtained based on the reductive perturbation method. By solving the mKdV equation, the kink-antikink soliton wave is obtained to describe the propagation mechanism and rules of pedestrian congestion near the neutral stability curve. The simulation example shows that the pedestrians’ honk effect can mitigate the pedestrians crowding efficiently and improve the stability of the bidirectional pedestrian flow.

Nonlinear analysis of the individual difference corresponding to honk effect for car-following theory under V2X environment

2020 ◽  
Vol 31 (11) ◽  
pp. 2050157
Author(s):  
Guanghan Peng ◽  
Li Qing
Keyword(s):  
Numerical Simulation ◽  
Traffic Flow ◽  
Individual Difference ◽  
Driving Behavior ◽  
Flow Dynamics ◽  
Traffic Modeling ◽  
Car Following ◽  
Car Following Model ◽  
The Individual ◽  
Honk Effect

Originally, we would like to use traffic modeling for car-following model to recover the individual difference of driving behavior corresponding to honk effect under V2X environment. Traffic stability is related to the individual difference resulting from the honk effect, which states that the individual difference of honk effect plays a different significant impact on the traffic stability. Furthermore, the slowly varying behaviors are closely consistent with the individual difference corresponding to the honk effect for long waves. Numerical simulation indicates that the individual difference of driving behavior plays a different role on traffic flow dynamics under honk environment in car-following model.

A modified two-dimensional triangular lattice model under honk environment

2020 ◽  
Vol 31 (06) ◽  
pp. 2050089
Author(s):  
Cong Zhai ◽  
Weitiao Wu
Keyword(s):  
Stability Analysis ◽  
Hydrodynamic Model ◽  
High Dimensional ◽  
Two Dimensional ◽  
Lattice Hydrodynamic Model ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
The Stability ◽  
Honk Effect ◽  
Real Traffic

The honk effect is not uncommon in the real traffic and may exert great influence on the stability of traffic flow. As opposed to the linear description of the traditional one-dimensional lattice hydrodynamic model, the high-dimensional lattice hydrodynamic model is a gridded analysis of the real traffic environment, which is a generalized form of the one-dimensional lattice model. Meanwhile, the high-dimensional traffic flow exposed to the open-ended environment is more likely to be affected by the honk effect. In this paper, we propose an extension of two-dimensional triangular lattice hydrodynamic model under honk environment. The stability condition is obtained via the linear stability analysis, which shows that the stability region in the phase diagram can be effectively enlarged under the honk effect. Modified Korteweg–de Vries equations are derived through the nonlinear stability analysis method. The kink–antikink solitary wave solution is obtained by solving the equation, which can be used to describe the propagation characteristics of density waves near the critical point. Finally, the simulation example verifies the correctness of the above theoretical analysis.

A NEW LATTICE MODEL OF TWO-LANE TRAFFIC FLOW WITH THE CONSIDERATION OF MULTI-ANTICIPATION EFFECT

2013 ◽  
Vol 24 (07) ◽  
pp. 1350048 ◽  
Author(s):  
GUANGHAN PENG
Keyword(s):  
Numerical Simulation ◽  
Stability Analysis ◽  
Traffic Flow ◽  
Linear Stability ◽  
Lattice Model ◽  
Mkdv Equation ◽  
Stable Region ◽  
Lane Changing ◽  
Traffic Jam ◽  
Anticipation Effect

In this paper, a new two-lane lattice model of traffic flow is proposed with the consideration of multi-anticipation effect. The linear stability condition of two-lane traffic is derived with the multi-anticipation effect term by linear stability analysis, which shows that the stable region enlarges with the number of multi-anticipation sites increasing. Nonlinear analysis near the critical point is carried out to obtain kink–antikink soliton solution of the mKdV equation with the multi-anticipation effect term. Numerical simulation also shows that the multi-anticipation effect can suppress the traffic jam efficiently with lane changing in two-lane system.

A Lattice Hydrodynamic Model Considering the Following Lattice and its Stability Analysis

2013 ◽  
Vol 444-445 ◽  
pp. 293-298
Author(s):  
Xiang Lin Han ◽  
Cheng Ouyang
Keyword(s):  
Stability Analysis ◽  
Traffic Flow ◽  
Soliton Solutions ◽  
Mkdv Equation ◽  
Flow Stability ◽  
Linear Stability Theory ◽  
Lattice Hydrodynamic Model ◽  
Hydrodynamic Models ◽  
Traffic Jam ◽  
Traffic Flow Stability

Incorporating the ITS in traffic flow, two lattice hydrodynamic models considering the following lattice are proposed to study the influence of the following lattice on traffic flow stability. The results from the linear stability theory show that considering the following lattice could lead to the improvement of the traffic flow stability. The modified Korteweg-de Vries equations (the mKdV equation, for short) near the critical point are derived by using the nonlinear perturbation method to show that the traffic jam could be described by the kink-antikink soliton solutions for the mKdV equations.

Entering the Retirement Zone: How Much Choice do Individuals Have?

2006 ◽  
Vol 5 (4) ◽  
pp. 507-517 ◽  
Author(s):  
Sarah Vickerstaff
Keyword(s):  
Individual Difference ◽  
Older Workers ◽  
Age Discrimination ◽  
Demand Side ◽  
Health Issues ◽  
Factors Affecting ◽  
Individual Difference Variables ◽  
The Individual ◽  
The Impact ◽  
Policies And Practices

Traditionally the factors affecting retirement are correlated with individual difference variables such as level of income, health issues and caring responsibilities. Studies have shown how these factors interact to predict the individual retirement process. However, the demand-side factors which structure opportunities for older workers have been somewhat less studied. This paper explores the employer role in retirement. By investigating the experience of employees and retirees from three organisations this article demonstrates that the employing organisation's policies and practices are key to understanding retirement transitions. In the conclusion the impact of forthcoming age discrimination legislation is considered.

scholarly journals Impact of Strong Wind and Optimal Estimation of Flux Difference Integral in a Lattice Hydrodynamic Model

Mathematics ◽  
2021 ◽  
Vol 9 (22) ◽  
pp. 2897
Author(s):  
Huimin Liu ◽  
Yuhong Wang
Keyword(s):  
Traffic Flow ◽  
Hydrodynamic Model ◽  
Optimal Estimation ◽  
Mkdv Equation ◽  
Strong Wind ◽  
Lattice Hydrodynamic Model ◽  
Simulation Results ◽  
The Stability ◽  
The Impact ◽  
Flux Difference

A modified lattice hydrodynamic model is proposed, in which the impact of strong wind and the optimal estimation of flux difference integral are simultaneously analyzed. Based on the control theory, the stability condition is acquired through linear analysis. The modified Korteweg-de Vries (mKdV) equation is derived via nonlinear analysis, in order to express a description of the evolution of density waves. Then, numerical simulation is conducted. From the simulation results, strong wind can largely influence the traffic flow stability. The stronger the wind becomes, the more stable the traffic flow is, to some extent. Similarly, the optimal estimation of flux difference integral also contributes to stabilizing traffic flow. The simulation results show no difference compared with the theoretical findings. In conclusion, the new model is able to make the traffic flow more stable.

The impact of equilibrium optimal flux deviation on traffic dynamics in lattice hydrodynamic model under V2X environment

2021 ◽  
Author(s):  
Xiaoqin Li ◽  
Guanghan Peng
Keyword(s):  
Traffic Flow ◽  
Hydrodynamic Model ◽  
Stable Condition ◽  
Early Time ◽  
Positive Influence ◽  
Feedback Gain ◽  
Hysteresis Phenomenon ◽  
Lattice Hydrodynamic Model ◽  
The Stability ◽  
The Impact

Abstract In this work, the equilibrium optimal flux deviation is explored as a control signal under V2X environment via traffic modeling of the lattice hydrodynamic model. According to the control theory, the sufficient stable condition can be deduced. In addition, numerical simulation is implemented for the early time impact, the steady-state effect, and the hysteresis phenomenon of traffic flow with the increase of the feedback gain response to the equilibrium optimal flux deviation. The result demonstrates that the equilibrium optimal flux deviation effect has significantly positive influence on the stability of the traffic flow.

Stability analysis of two-lane lattice hydrodynamic model considering lane-changing and memorial effects

2018 ◽  
Vol 32 (20) ◽  
pp. 1850233 ◽  
Author(s):  
Cong Zhai ◽  
Weitiao Wu
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Hydrodynamic Model ◽  
Density Wave ◽  
Mkdv Equation ◽  
Traffic Density ◽  
Lane Changing ◽  
Optimal Current ◽  
Current Change ◽  
With Memory

In this paper, a new lattice two-lane hydrodynamic model is proposed by considering the lane changing and the optimal current change with memory effect. The linear stability condition of the model is obtained through the linear stability analysis, which depends on both the lane-changing rate and the memory step. A modified Korteweg–de Vries (mKdV) equation is derived through nonlinear analysis to describe the propagating behavior of traffic density wave near the critical point. To verify the analytical findings, numerical simulation was carried out, which confirms that the optimal current change with memory of drivers and the memory step contribute to the stabilization of traffic flow, and that traffic congestion can be suppressed efficiently by taking the lane-changing behavior into account in the lattice model.

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