Two-lane lattice hydrodynamic model considering the empirical lane-changing rate

Zhu, Chenqiang; Zhong, Shiquan; Ma, Shoufeng

doi:10.1016/j.cnsns.2019.02.010

Cited by 40 publications

(17 citation statements)

References 50 publications

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“…Recently, according to the measured datasets of lane changing rate in real traffic environment, Zhu et al [31] proposed an extended model by taking the empirical lane changing rate into account, which is more reasonable compared with the previous fixed lane changing rate. And the empirical lane changing rate applying the form of the Lee optimal velocity [32], which is expressed as follows:…”

Section: The Modified Lattice Hydrodynamic Modelmentioning

confidence: 99%

“…Gradually, some scholars think that constant lane changing rate can't adequately reflect the actual traffic. In 2019, Zhu et al [31] replaced the previous commonly used constant lane changing rate with empirical lane changing rate, and he believed that the use of this lane changing rate was more convincing for the analysis and research of two-lane lattice hydrodynamic model.…”

Section: Introductionmentioning

confidence: 99%

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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: The Modified Lattice Hydrodynamic Modelmentioning

confidence: 99%

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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“…Scientists, transportation engineers, and local governments have put forward various ideas and projects to overcome the problem of traffic congestion. Within this, a great number of traffic models have been proposed in relation to various phenomena, including microscopic models [1][2][3][4][5][6][7][8][9][10], continuum models [11][12][13][14][15][16], cellular automated models [17][18][19][20][21], and lattice hydrodynamic models [22][23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

The “Backward Looking” Effect in the Continuum Model Considering a New Backward Equilibrium Velocity Function

Hossain

Tanimoto

2021

Preprint

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In this paper, a new continuum traffic model is developed considering the backward-looking effect through a new positive backward equilibrium speed function. As compared with the conventional full velocity difference model, the backward equilibrium velocity function, which is largely acceptably grounded from mathematical and physical perspectives, plays an important role in significantly enhancing the stability of the traffic flow field. A linear stability condition is derived to demonstrate the flow neutralization capacity of the model, whereas the Korteweg–de Vries–Burgers equation and the attendant analytical solution are deduced using nonlinear analysis to observe the traffic flow behavior near the neutral stability condition. A numerical simulation, used to determine the flow stability enhancement efficiency of the model, is also conducted to verify the theoretical results.

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“…In addition, intricate road environment is also one of the most important factors affecting traffic flow. Besides the usual straight roads [21], the current research also includes curved roads [22][23][24][25], gradient highway [26], and two-lane highway [27][28][29][30][31][32][33][34][35]. Among them, the research of two-lane highway is developed recently, which is more coincident with the actual traffic conditions.…”

Section: Introductionmentioning

confidence: 99%

“…However, it is relatively few due to the complexity. In 2019, Zhu et al [27] came up with a new lattice hydrodynamic model in two-lane system, considering the empirical lane-changing rate. Qi et al [28] put forward a lattice hydrodynamic model in 2019, accounting for "backward looking" effect and relative flow information in two-lane highway.…”

Section: Introductionmentioning

confidence: 99%

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

Cheng

2020

Complexity

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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.

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Two-lane lattice hydrodynamic model considering the empirical lane-changing rate

Cited by 40 publications

References 50 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

The “Backward Looking” Effect in the Continuum Model Considering a New Backward Equilibrium Velocity Function

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

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