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

Wang, Ting; Cheng, Rongjun; Ge, Hongxia

doi:10.1109/access.2019.2956783

Cited by 26 publications

(5 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…is phenomenon indicates that the steady state of traffic flow is approaching the steady state, and the traffic flow will reach the final stable state at future. Regarding the lane-changing rate, the different study proposed by Wang et al [37] also reached the same conclusion. at is to say, the consideration of lane-changing in two-lane system is valuable to reduce traffic jams.…”

Section: Symbol Corresponding Expressionsupporting

confidence: 54%

A New Two-Lane Lattice Hydrodynamic Model considering the Traffic Interruption Probability under Honk Environment

Cheng

2020

Complexity

Self Cite

View full text Add to dashboard Cite

By accounting for the traffic interruption probability on two-lane highway under honk environment, an extended lattice hydrodynamic model is presented in the paper. In view of the novel model, a series of researches are carried out. The neutral stability condition and the stable condition can be derived through linear analysis. Then, the mKdV equation near the critical point can be obtained by applying nonlinear analysis, which describes the traffic jams according to the kink-antikink density waves. In addition, numerical simulation is performed, which confirms that traffic interruption probability on two-lane highway under honk environment can develop traffic jams by the change of density waves. Also, the phenomenon is consistent with the results of previous theoretical analysis. It shows that accounting for the traffic interruption probability on two-lane highway under honk environment can stabilize the traffic flow efficiently.

show abstract

Section: Symbol Corresponding Expressionsupporting

confidence: 54%

A New Two-Lane Lattice Hydrodynamic Model considering the Traffic Interruption Probability under Honk Environment

Cheng

2020

Complexity

Self Cite

View full text Add to dashboard Cite

show abstract

“…us, there are more concerns about the fact that the transportation system's growing complexity will undoubtedly increase the burden of people's travel. A large number of researchers have been involved in the research of revealing the dynamic properties of traffic flow over the years [1][2][3][4][5]. In the past few decades, lots of models based on the actual traffic conditions have been built to study traffic flow.…”

Section: Introductionmentioning

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

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…It is a breakthrough in traditional car following models. Besides, they [24] considered the influence of other factors, the empirical lane changing rate and the self-stabilization effect, and put forward an extended lattice hydrodynamic model.…”

Section: Introductionmentioning

confidence: 99%

Solid angle car following model*

Ma¹,

Han²,

Jin³

2020

Chinese Phys. B

View full text Add to dashboard Cite

Existing traffic flow models give little consideration on vehicle sizes. We introduce the solid angle into car-following theory, taking the driver’s perception of the leading vehicle’s size into account. The solid angle and its change rate are applied as inputs to the novel model. A nonlinear stability analysis is performed to analyze the asymmetry of the model and the size effect of the leading vehicle, and the modified Korteweg–de Vries equation is derived. The solid angle model can explain complex traffic characteristics and provide an important basis for modeling nonlinear traffic phenomena.

show abstract

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

Cited by 26 publications

References 35 publications

A New Two-Lane Lattice Hydrodynamic Model considering the Traffic Interruption Probability under Honk Environment

A New Two-Lane Lattice Hydrodynamic Model considering the Traffic Interruption Probability under Honk Environment

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

Solid angle car following model*

Contact Info

Product

Resources

About