New control strategy for the lattice hydrodynamic model of traffic flow

Zhu, Chenqiang; Zhong, Shiquan; Li, Guangyu; Ma, Shoufeng

doi:10.1016/j.physa.2016.10.080

Cited by 23 publications

(6 citation statements)

References 48 publications

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“…The control signal is of significant value to ease traffic congestion. Recently, Zhu [49] regarded the rate of optimal velocity change as a novel control strategy. Up until now, the optimal estimation of flux difference integral and strong wind have not been examined in any lattice models.…”

Section: Introductionmentioning

confidence: 99%

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

Liu¹,

Wang²

2021

Mathematics

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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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Section: Introductionmentioning

confidence: 99%

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

Liu¹,

Wang²

2021

Mathematics

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“…During the last decades a growing number of car transport rate increasing challenge of traffic flow management. There are many different studies [1][2][3][4][5][6][7][8][9][10] that make it easier to understand traffic flow. Liu et al [1] analyze the variation of the density of cars in a single lane using a jam control scheme based on a lattice hydrodynamic model.…”

Section: Introductionmentioning

confidence: 99%

“…The higher selected response sensitivity creates a smoother traffic flow on the road. The hydrodynamic model supplemented with delayed feedback control strategy [6][7], where according to the control traffic light the optimal vehicle velocity is determined.…”

Section: Introductionmentioning

confidence: 99%

Determination of Optimal Traffic Light Period Using a Discrete Traffic Flow Model

Danilevičius

Bogdevičius

Gusarovienė

et al. 2019

mech

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“…Subsequently, the effect of the density change rate difference was considered as a feedback signal by Li. [32] In 2016, Zhu [33] proposed a new control signal called the variation rate of the optimal velocity in the lattice hydrodynamic model.…”

Section: Introductionmentioning

confidence: 99%

A new control method based on the lattice hydrodynamic model considering the double flux difference

Qin¹,

Ge²,

Cheng³

2018

Chinese Phys. B

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A new feedback control method is derived based on the lattice hydrodynamic model in a single lane. A signal based on the double flux difference is designed in the lattice hydrodynamic model to suppress the traffic jam. The stability of the model is analyzed by using the new control method. The advantage of the new model with and without the effect of double flux difference is explored by the numerical simulation. The numerical simulations demonstrate that the traffic jam can be alleviated by the control signal.

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New control strategy for the lattice hydrodynamic model of traffic flow

Cited by 23 publications

References 48 publications

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

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

Determination of Optimal Traffic Light Period Using a Discrete Traffic Flow Model

A new control method based on the lattice hydrodynamic model considering the double flux difference

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