Effects of speed deviation and density difference in traffic lattice hydrodynamic model with interruption

Jiang, Changtao; Cheng, Rongjun; Ge, Hongxia

doi:10.1016/j.physa.2018.05.023

Cited by 23 publications

(4 citation statements)

References 51 publications

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“…The associate editor coordinating the review of this manuscript and approving it for publication was Zheng Chen . such as micro models [4]- [14], macro models [15]- [19] and lattice hydrodynamic models [20]- [23]. These models not only enrich and develop traffic flow theory, but also provide a lot of new ideas for many traffic engineering practices.…”

Section: Introductionmentioning

confidence: 99%

Analysis of a Novel Two-Lane Lattice Hydrodynamic Model Considering the Empirical Lane Changing Rate and the Self-Stabilization Effect

Wang

Cheng

2019

IEEE Access

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Considering the impact of the empirical lane changing rate and self-stabilization effect on traffic flow stability synthetically, an extended two-lane lattice hydrodynamic model was proposed in this paper. In the first place, the stability condition is acquired through applying liner stability analysis method and it reveals that both the empirical lane changing rate and self-stabilization effect can enhance the stability of traffic flow to some extent. Next, in order to analyze the transmission mechanism of traffic congestion, the modified Korteweg-de Vries (mKdV) equation is deduced by using nonlinear theory near the critical point. At the same time, the kink-antikink solitary wave solution is obtained to describe the propagation behavior of traffic density wave by solving the mKdV equation. Subsequently, the numerical simulations are carried out and the results coincide well with the theoretical analysis, which indicate the empirical lane changing rate and the self-stabilization effect can improve the traffic stability. INDEX TERMS Traffic flow, lattice hydrodynamic model, the empirical lane changing rate, the selfstabilization effect.

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Section: Introductionmentioning

confidence: 99%

Analysis of a Novel Two-Lane Lattice Hydrodynamic Model Considering the Empirical Lane Changing Rate and the Self-Stabilization Effect

Wang

Cheng

2019

IEEE Access

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“…One can note that the density wave can represent the property of traffic congestion, which is decided by the mKdV equation. From (19), (20), and ( 29), the parameters of factors considered in the new model have a momentous influence on influencing the amplitude of traffic jam wave.…”

Section: Nonlinear Analysismentioning

confidence: 99%

“…In the past few decades, lots of models based on the actual traffic conditions have been built to study traffic flow. Normally, traffic flow models can be categorized into microscopic models [1,[6][7][8][9][10][11][12], lattice models [3,4,[13][14][15][16][17][18][19][20][21][22], and macroscopic hydrodynamic models [23][24][25][26][27][28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

An Extended Car-Following Model considering the Driver’s Desire for Smooth Driving and Self-Stabilizing Control with Velocity Uncertainty

Wang

Cheng

et al. 2020

Mathematical Problems in Engineering

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In this paper, an extended car-following model with consideration of the driver’s desire for smooth driving and the self-stabilizing control in historical velocity data is constructed. Moreover, for better reflecting the reality, we also integrate the velocity uncertainty into the new model to analyze the internal characteristics of traffic flow in situation where the historical velocity data are uncertain. Then, the model’s linear stability condition is inferred by utilizing linear stability analysis, and the modified Korteweg-de Vries (mKdV) equation is also obtained to depict the evolution properties of traffic congestion. According to the theoretical analysis, we observe that the degree of traffic congestion is alleviated when the control signal is considered, and the historical time gap and the velocity uncertainty also play a role in affecting the stability of traffic flow. Finally, some numerical simulation experiments are implemented and the experiments’ results demonstrate that the control signals including the self-stabilizing control, the driver’s desire for smooth driving, the historical time gap, and the velocity uncertainty are of avail to improve the traffic jam, which are consistent with the theoretical analytical results.

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“…Subsequently, Gupta et al [42] developed a two-lane lattice hydrodynamic model with the DD effect. 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.…”

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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Effects of speed deviation and density difference in traffic lattice hydrodynamic model with interruption

Cited by 23 publications

References 51 publications

Analysis of a Novel Two-Lane Lattice Hydrodynamic Model Considering the Empirical Lane Changing Rate and the Self-Stabilization Effect

Analysis of a Novel Two-Lane Lattice Hydrodynamic Model Considering the Empirical Lane Changing Rate and the Self-Stabilization Effect

An Extended Car-Following Model considering the Driver’s Desire for Smooth Driving and Self-Stabilizing Control with Velocity Uncertainty

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

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