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Analysis of macroscopic traffic flow model considering throttle dynamics

  • Regular Article - Statistical and Nonlinear Physics
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Abstract

Due to the continuous development of economy and society, the pace of life is also accelerated, so people pay more and more attention to the time cost, and the transportation time cost is also a very important part of it. The traffic system is an important carrier to realize the traffic operation. The increase of automobile ownership requires the traffic system to be higher and higher. Moreover, vehicles in congested traffic flow inevitably start and stop operations with high frequency, which undoubtedly increases vehicle exhaust emissions, environmental pollution, noise pollution and other problems. For today’s traffic system, vehicle dynamics information is also an important factor which affects the traffic system. Therefore, adding throttle, vehicle dynamics information, to the macro-traffic flow modeling research in this paper is a supplement and improvement to the current traffic flow theory research. By analyzing the equilibrium point, this paper proves the conditions for the existence of Hopf branch and saddle junction branch. Finally, numerical simulation is carried out, and the space–time diagram of density and phase plane are obtained through simulation, which can be used to describe the actual traffic phenomenon. Through numerical simulation, it is found that this model can better describe the congestion phenomenon of the actual traffic system, and provide scientific theoretical support for macroscopic traffic flow state analysis.

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Establishing macro-traffic flow model considering throttle dynamics

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Data availability

The manuscript has associated data in a data repository [Authors' comment: In this paper, based on the macroscopic traffic flow model considering throttle dynamics, the equilibrium point and its type of the model are studied by bifurcation analysis method, and the conclusion that the theory is consistent with the simulation is obtained. However, there are many factors that affect the traffic state, which is also the direction of our later research].

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Acknowledgements

The authors would like to thank the anonymous referees and the editor for their valuable opinions. This work is partially supported by the National Natural Science Foundation of China under the Grant Nos. (61863032, 11965019) and the China Postdoctoral Science Foundation Funded Project (Project No.: 2018M633653XB) and the Natural Science Foundation of Gansu Province of China under the Grant No. 20JR5RA533 and the Qizhi Personnel Training Support Project of Lanzhou Institute of Technology (2018QZ-11) and Gansu Province Educational Research Project (Grant No. 2021A-166).

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Authors and Affiliations

  1. College of Computer Science and Engineering, Northwest Normal University, Lanzhou, 730070, Gansu, China

    Wen Huan Ai & Ming Ming Wang

  2. College of Electrical Engineering, Lanzhou Institute of Technology, Lanzhou, 730050, Gansu, China

    Da Wei Liu

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  1. Wen Huan Ai
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Contributions

WHA: Participate in research: propose research topics; Design research scheme; Implement the research process; Final paper. MMW: Article writing: research and collate literature; Design the paper framework; Draft a paper; Revise the thesis; Organize data. DWL: Work support: statistical analysis; Access to research funding; Technical or material support; Instructional support.

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Correspondence to Wen Huan Ai.

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The authors declared that they have no conflicts of interest to this work. We declare that we do not have any commercial or associative interest that represents a conflict of interest in connection with the work submitted.

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Ai, W.H., Wang, M.M. & Liu, D.W. Analysis of macroscopic traffic flow model considering throttle dynamics. Eur. Phys. J. B 96, 87 (2023). https://doi.org/10.1140/epjb/s10051-023-00552-9

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