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Multi-value cellular automata model for mixed bicycle flow

Author

Listed:
  • B. Jia
  • X.-G. Li
  • R. Jiang
  • Z.-Y. Gao

Abstract

In this paper, we investigate mixed bicycle flow using the multi-value cellular automata (CA) model. Two types of bicycles with different maximum speed are considered in the system. The system of mixed bicycles is investigated under both deterministic and stochastic regimes. It is shown under the deterministic case that there appear multiple states both in congested flow and free flow regions. Analytical analysis is carried out and is in good agreement with the simulation results. Under the stochastic case, the multiple states effect disappears only when both slow and fast bicycles are randomized. Spacetime plots are presented to show the evolution of mixed bicycle flow. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Suggested Citation

  • B. Jia & X.-G. Li & R. Jiang & Z.-Y. Gao, 2007. "Multi-value cellular automata model for mixed bicycle flow," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 56(3), pages 247-252, April.
    • Handle: RePEc:spr:eurphb:v:56:y:2007:i:3:p:247-252
    DOI: 10.1140/epjb/e2007-00116-5
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    Citations

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    Cited by:

    1. Zhang, Shuichao & Ren, Gang & Yang, Renfa, 2013. "Simulation model of speed–density characteristics for mixed bicycle flow—Comparison between cellular automata model and gas dynamics model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 5110-5118.
    2. Xue, Shuqi & Jia, Bin & Jiang, Rui & Li, Xingang & Shan, Jingjing, 2017. "An improved Burgers cellular automaton model for bicycle flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 487(C), pages 164-177.
    3. Paulsen, Mads & Rasmussen, Thomas Kjær & Nielsen, Otto Anker, 2019. "Fast or forced to follow: A speed heterogeneous approach to congested multi-lane bicycle traffic simulation," Transportation Research Part B: Methodological, Elsevier, vol. 127(C), pages 72-98.
    4. Ni, Ying & Li, Yixin & Yuan, Yufei & Sun, Jian, 2023. "An operational simulation framework for modelling the multi-interaction of two-wheelers on mixed-traffic road segments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 611(C).
    5. Gould, Gregory & Karner, Alex, 2009. "Modeling Bicycle Facility Operation: a Cellular Automaton Approach," Institute of Transportation Studies, Working Paper Series qt1xn1j5vh, Institute of Transportation Studies, UC Davis.
    6. Guo, Ning & Jiang, Rui & Wong, S.C. & Hao, Qing-Yi & Xue, Shu-Qi & Xiao, Yao & Wu, Chao-Yun, 2020. "Modeling the interactions of pedestrians and cyclists in mixed flow conditions in uni- and bidirectional flows on a shared pedestrian-cycle road," Transportation Research Part B: Methodological, Elsevier, vol. 139(C), pages 259-284.
    7. Rui Jiang & Mao-Bin Hu & Qing-Song Wu & Wei-Guo Song, 2017. "Traffic Dynamics of Bicycle Flow: Experiment and Modeling," Transportation Science, INFORMS, vol. 51(3), pages 998-1008, August.
    8. Li, Yixin & Ni, Ying & Sun, Jian & Ma, Zian, 2020. "Modeling the illegal lane-changing behavior of bicycles on road segments: Considering lane-changing categories and bicycle heterogeneity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    9. Chen, Jingxu & Li, Zhibin & Jiang, Hang & Zhu, Senlai & Wang, Wei, 2017. "Simulating the impacts of on-street vehicle parking on traffic operations on urban streets using cellular automation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 880-891.
    10. Kuang, Xianyan & Chen, Ziru, 2022. "Trajectory research of Cellular Automaton Model based on real driving behaviour," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 602(C).
    11. Gould, Gregory & Karner, Alex, 2010. "Modeling Bicycle Facility Operation: A Cellular Automaton Approach," Institute of Transportation Studies, Working Paper Series qt4v04s5x4, Institute of Transportation Studies, UC Davis.

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