scholarly journals A new control scheme for the lattice hydrodynamic model with the successive flux difference under honk environment

IEEE Access ◽  
2021 ◽  
pp. 1-1
Author(s):  
Jin Wan ◽  
Wenzhi Qin ◽  
Xin Huang ◽  
Min Zhao
Keyword(s):  
Hydrodynamic Model ◽  
Lattice Hydrodynamic Model ◽  
Control Scheme ◽  
Flux Difference

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.

Multiple flux difference effect in the lattice hydrodynamic model

2012 ◽  
Vol 21 (2) ◽  
pp. 020512 ◽  
Author(s):  
Tao Wang ◽  
Zi-You Gao ◽  
Xiao-Mei Zhao
Keyword(s):  
Hydrodynamic Model ◽  
Lattice Hydrodynamic Model ◽  
Flux Difference ◽  
Difference Effect

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.

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