Effect of self-stabilizing control in lattice hydrodynamic model with on-ramp and off-ramp

2021 ◽  
Vol 575 ◽  
pp. 126048
Author(s):  
Yiru Mei ◽  
Xiaoqun Zhao ◽  
Yeqing Qian ◽  
Shangzhi Xu ◽  
Zhipeng Li
Keyword(s):  
Hydrodynamic Model ◽  
Lattice Hydrodynamic Model ◽  
Stabilizing Control

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

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 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.

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