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Phase diagram in multi-phase traffic model

Author

Listed:
  • Nagai, Ryoichi
  • Nagatani, Takashi
  • Yamada, Akio

Abstract

A multi-phase traffic model is presented to take into account the complex motion of vehicles. The multi-phase model is one of the extended optimal velocity model. The optimal velocity (OV) function is modified to have multi turning points. The original OV model with a single turning point exhibits two-phase traffic, while the model with n(n⩾2) turning points displays n+1 phase traffic. The multiple phase transitions occur by varying the density. The phase transitions depend highly on the sensitivity (the inverse of delay time). The neutral stability line is obtained by using the linear stability analysis and is consistent with the jamming transition points. The phase diagrams are presented for the multiple jamming transitions.

Suggested Citation

  • Nagai, Ryoichi & Nagatani, Takashi & Yamada, Akio, 2005. "Phase diagram in multi-phase traffic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(2), pages 530-550.
    • Handle: RePEc:eee:phsmap:v:355:y:2005:i:2:p:530-550
    DOI: 10.1016/j.physa.2005.04.004
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    Citations

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    Cited by:

    1. Tian, Tian & Liu, Gang & Hu, Xiaoxi & Bian, Dingding, 2024. "Traffic behavior analysis of the urban expressway ramp based on continuous cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
    2. Guan, Wei & He, Shuyan, 2008. "Statistical features of traffic flow on urban freeways," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(4), pages 944-954.
    3. Dailisan, Damian N. & Lim, May T., 2019. "Vehicular traffic modeling with greedy lane-changing and inordinate waiting," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 715-723.
    4. Redhu, Poonam & Gupta, Arvind Kumar, 2016. "Effect of forward looking sites on a multi-phase lattice hydrodynamic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 150-160.
    5. Dailisan, Damian N. & Lim, May T., 2016. "Agent-based modeling of lane discipline in heterogeneous traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 138-147.
    6. He, Shuyan & Guan, Wei & Song, Liying, 2010. "Explaining traffic patterns at on-ramp vicinity by a driver perception model in the framework of three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(4), pages 825-836.
    7. Zhai, Cong & Li, Kening & Zhang, Ronghui & Peng, Tao & Zong, Changfu, 2024. "Phase diagram in multi-phase heterogeneous traffic flow model integrating the perceptual range difference under human-driven and connected vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

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