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A multi-value cellular automata model for multi-lane traffic flow under lagrange coordinate

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Abstract

In this paper, a multi-value cellular automata model under Lagrange coordinates is proposed based on reality, the traffic flow in the Lagrange coordinate is simulated on the basis of the evolution equation of the model. From the fundamental diagram of the results under various conditions, it found that the three commonly used parameters of traffic flow in simulation is consistent with the empirical data. Specifically, traffic density and the number of lanes have a significant impact on traffic flow. The lower the density is, the more lanes there are, and the greater the flow. The research of this paper can help to develop more advanced traffic research technology, and improve the efficiency of traffic work subsequently. Simultaneously, it will bring convenience to people and promote the development of green traffic.

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Acknowledgements

This work is jointly supported by the National Natural Science Foundation of China (Grant No. 71861024), the Major Research Plan of Gansu Province (Grant No. 21YF5GA052), the 2021 Gansu Higher Education Industry Support Plan (Grant No.2021CYZC-60), the “Double-First Class” Major Research Programs, Educational Department of Gansu Province (Grant No. GSSYLXM-04) and the United Fund of Lanzhou Jiaotong University and Tianjin University (Grant No. 2021057).

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Authors and Affiliations

  1. School of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou, China

    Junwei Zeng, Yongsheng Qian, Fan Yin, Leipeng Zhu & Dejie Xu

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  1. Junwei Zeng
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  2. Yongsheng Qian
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  3. Fan Yin
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  4. Leipeng Zhu
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  5. Dejie Xu
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Correspondence to Yongsheng Qian.

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Zeng, J., Qian, Y., Yin, F. et al. A multi-value cellular automata model for multi-lane traffic flow under lagrange coordinate. Comput Math Organ Theory 28, 178–192 (2022). https://doi.org/10.1007/s10588-021-09345-w

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