Analysis of two-lane lattice hydrodynamic model with consideration of drivers’ characteristics

Zhang, Geng; Sun, Dihua; Liu, Weining; Zhao, Min; Cheng, Shuying

doi:10.1016/j.physa.2014.11.017

Cited by 60 publications

(7 citation statements)

References 40 publications

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“…Subsequently, many extended lattice models [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47] have been developed with the consideration of other factors based on the original lattice model. However, the effect of optimal current difference on traffic flow plays an important role on stability of traffic flow.…”

Section: The New Modelmentioning

confidence: 99%

Impact of the traffic interruption probability of optimal current on traffic congestion in lattice model

Peng

2015

Physica A: Statistical Mechanics and its Applications

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Section: The New Modelmentioning

confidence: 99%

Impact of the traffic interruption probability of optimal current on traffic congestion in lattice model

Peng

2015

Physica A: Statistical Mechanics and its Applications

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“…[29][30][31][32][33] For reproducing the real environment, a twolane lattice model of traffic flow with lane change was designed by Nagatani. [34] After that, a growing number of extended two-lane lattice models [35][36][37][38][39][40] have been provided to describe the traffic dynamics.…”

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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“…A theoretical analysis of these types of models is presented in [28]. In [29] such characteristics of drivers as "timidity" or "aggression" are taken into account. In [30,31] the influence of the human factor on the stability of a two-way flow is investigated.…”

Section: Introductionmentioning

confidence: 99%

Simulation of traffic flows on road segments using cellular automata theory and quasigasdynamic approach

Churbanova¹,

Chechina²,

Trapeznikova³

et al. 2019

MathMon

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The research deals with the creation of mathematical tools for the simulation of vehicular traffic flows on complex urban transport networks using modern supercomputers. The goal of the present paper is further development of micro-and macroscopic models created by the authors earlier. The proposed 2D microscopic model is based on the cellular automata theory. In this work algorithms taking into account various driving strategies have been incorporated into the model. The model is implemented as a program package that includes User interface and Visualization module. The macroscopic model uses the continuous medium approximation: it is constructed by analogy with the quasigasdynamic system of equations. The one dimensional version is proposed in the paper, nevertheless, it allows reproducing changes in the number of lanes as well as possible road entrances and exits. Parallel algorithms adapted to high-performance computing systems have been created for both models, ensuring rapid computations on city road networks.

show abstract

Analysis of two-lane lattice hydrodynamic model with consideration of drivers’ characteristics

Cited by 60 publications

References 40 publications

Impact of the traffic interruption probability of optimal current on traffic congestion in lattice model

Impact of the traffic interruption probability of optimal current on traffic congestion in lattice model

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

Simulation of traffic flows on road segments using cellular automata theory and quasigasdynamic approach

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