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Cellular Automaton Model with Dynamical 2D Speed-Gap Relation

Author

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  • Junfang Tian

    (Institute of Systems Engineering, College of Management and Economics, Tianjin University, 300072 Tianjin, China)

  • Bin Jia

    (MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, 100044 Beijing, China)

  • Shoufeng Ma

    (Institute of Systems Engineering, College of Management and Economics, Tianjin University, 300072 Tianjin, China)

  • Chenqiang Zhu

    (Institute of Systems Engineering, College of Management and Economics, Tianjin University, 300072 Tianjin, China)

  • Rui Jiang

    (MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, 100044 Beijing, China)

  • YaoXian Ding

    (MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, 100044 Beijing, China)

Abstract

This paper proposes an improved cellular automaton traffic flow model based on the brake light model, taking into account that the desired time gap of vehicles is larger than one second. Although the hypothetical steady state of vehicles in the deterministic limit corresponds to a unique relationship between speeds and gaps in the proposed model, the traffic states of vehicles dynamically span a two-dimensional region in the plane of speed versus gap, due to the various randomizations. We show that our model reproduces (i) the free flow, synchronized flow, wide moving jams, as well as transitions among the three phases; (ii) the evolution features of disturbances and the spatiotemporal patterns in a car-following platoon; (iii) the empirical time series of traffic speed obtained from Next Generation Simulation data. Furthermore, the basic feature of time headway distribution is also qualitatively reproduced. Therefore, we argue that a model has the potential to reproduce the empirical and experimental features of traffic flow, provided that the traffic states can dynamically span a 2D speed-gap region.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ortrsc:v:51:y:2017:i:3:p:807-822
    DOI: 10.287/trsc.2015.0667
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    References listed on IDEAS

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    9. Bouadi, Marouane & Jia, Bin & Jiang, Rui & Li, Xingang & Gao, Zi-You, 2022. "Stochastic factors and string stability of traffic flow: Analytical investigation and numerical study based on car-following models," Transportation Research Part B: Methodological, Elsevier, vol. 165(C), pages 96-122.
    10. Zhang, Jing & Xu, Keyu & Li, Guangyao & Li, Shubin & Wang, Tao, 2021. "Dynamics of traffic flow affected by the future motion of multiple preceding vehicles under vehicle-connected environment: Modeling and stabilization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
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