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A simple cellular automaton model with dual cruise-control limit in the framework of Kerner’s three-phase traffic theory

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  • Fu, Ding-Jun
  • Li, Qi-Lang
  • Jiang, Rui
  • Wang, Bing-Hong

Abstract

In this study, a new cellular automata traffic flow model with dual cruise-control limit, where the vehicles with their velocities v=1,5 are not affected by noise and the slow-to-start rule is also introduced for standing vehicles with just one free cell, is established. Computer simulations are used to identify three typical phases from the fundamental diagram: free flow, synchronized flow, and wide moving jam. However, in the original cruise-control limit cellular automata traffic model, there are only two kinds of traffic phases, namely, free flow and congested traffic flow. Furthermore, in the ”linear” synchronous flow region, the ratio of flow to density depends on the randomization probability. The synchronous flow with scattered data is firstly found under the dense distribution. Compared to the previous models, the rules of our model are simpler, but it can present many features of Kerner’s three-phase theory, in particular, 2Z-characteristic for phase transitions.

Suggested Citation

  • Fu, Ding-Jun & Li, Qi-Lang & Jiang, Rui & Wang, Bing-Hong, 2020. "A simple cellular automaton model with dual cruise-control limit in the framework of Kerner’s three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).
    • Handle: RePEc:eee:phsmap:v:559:y:2020:i:c:s037843712030563x
    DOI: 10.1016/j.physa.2020.125075
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    References listed on IDEAS

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    1. Kerner, Boris S., 2016. "Failure of classical traffic flow theories: Stochastic highway capacity and automatic driving," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 700-747.
    2. Junfang Tian & Bin Jia & Shoufeng Ma & Chenqiang Zhu & Rui Jiang & YaoXian Ding, 2017. "Cellular Automaton Model with Dynamical 2D Speed-Gap Relation," Transportation Science, INFORMS, vol. 51(3), pages 807-822, August.
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    6. Tian, Junfang & Li, Guangyu & Treiber, Martin & Jiang, Rui & Jia, Ning & Ma, Shoufeng, 2016. "Cellular automaton model simulating spatiotemporal patterns, phase transitions and concave growth pattern of oscillations in traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 560-575.
    7. Li, Qi-Lang & Wong, S.C. & Min, Jie & Tian, Shuo & Wang, Bing-Hong, 2016. "A cellular automata traffic flow model considering the heterogeneity of acceleration and delay probability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 456(C), pages 128-134.
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    Cited by:

    1. Shang, Xue-Cheng & Li, Xin-Gang & Xie, Dong-Fan & Jia, Bin & Jiang, Rui & Liu, Feng, 2022. "A data-driven two-lane traffic flow model based on cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    2. Lyu, Zelin & Hu, Xiaojian & Zhang, Fang & Liu, Tenghui & Cui, Zhiwei, 2022. "Heterogeneous traffic flow characteristics on the highway with a climbing lane under different truck percentages: The framework of Kerner’s three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).
    3. Hu, Xiaojian & Qiao, Longqi & Hao, Xiatong & Lin, Chenxi & Liu, Tenghui, 2022. "Research on the impact of entry points on urban arterial roads in the framework of Kerner’s three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    4. Zhang, Yan-Tao & Hu, Mao-Bin & Chen, Yu-Zhang & Shi, Cong-Ling, 2023. "Cooperative platoon forming strategy for connected autonomous vehicles in mixed traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 623(C).

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