Effect of optimal estimation of flux difference information on the lattice traffic flow model

Yang, Shuhong; Li, Chungui; Tang, Xin; Tian, Canrong

doi:10.1016/j.physa.2016.07.066

Cited by 12 publications

(5 citation statements)

References 29 publications

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“…On the grounds of the analysis of the impact of strong wind in a car-following model [45], we further explore the impact of wind in a lattice model. Moreover, the effect of optimal estimation of flux difference integral [46] has not been researched in the wind. According to the opinions above, the modified model is demonstrated as below:…”

Section: Methods: the Modified Modelmentioning

confidence: 99%

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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: Methods: the Modified Modelmentioning

confidence: 99%

“…What is more, lots of traffic information, which can be conducive to ease traffic jams, should be used as soon as possible, especially the information of the optimal estimation of flux difference. Yang [46] examined this information on a single lane. Then, this factor was incorporated into a two-lane system by Peng [47].…”

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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“…Jiang et al [43] discussed the influence of the DD effect when traffic interruption occured. In addition, Sun et al [44] and Yang et al [45] put forward a lattice hydrodynamic model by taking the optimal flux difference effect into account. Chang et al [46] designed a model by considering the anticipation flux difference effect.…”

Section: Introductionmentioning

confidence: 99%

A novel lattice model integrating the cooperative deviation of density and optimal flux under V2X environment

Peng¹,

Chun-Li²,

Zhao³

et al. 2023

Chinese Phys. B

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A novel lattice hydrodynamic model is raised by integrating the cooperative deviation of density and optimal flux under V2X environment. According to theoretical analysis, the stability conditions and the mKdV equations affected by the cooperative deviation of traffic information are explored. And the density wave, hysteresis loop and energy consumption of traffic flow have been investigated via numerical simulation. The results indicate that the cooperative deviation of density and optimal flux can effectively alleviate traffic congestion. More importantly, our new consideration can reduce fuel consumption and exhaust emissions under V2X environment.

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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%

“…A modified Nagatani hydrodynamic model [2] determines the optimal traffic flow velocity estimating the traffic flow difference in information between the actual flow and the optimal flow in line [3][4][5]. The results were obtained by changing the response sensitivity of the traffic flow variation.…”

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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Effect of optimal estimation of flux difference information on the lattice traffic flow model

Cited by 12 publications

References 29 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

A novel lattice model integrating the cooperative deviation of density and optimal flux under V2X environment

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

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