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An improved Burgers cellular automaton model for bicycle flow

Author

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  • Xue, Shuqi
  • Jia, Bin
  • Jiang, Rui
  • Li, Xingang
  • Shan, Jingjing

Abstract

As an energy-efficient and healthy transport mode, bicycling has recently attracted the attention of governments, transport planners, and researchers. The dynamic characteristics of the bicycle flow must be investigated to improve the facility design and traffic operation of bicycling. We model the bicycle flow by using an improved Burgers cellular automaton model. Through a following move mechanism, the modified model enables bicycles to move smoothly and increase the critical density to a more rational level than the original model. The model is calibrated and validated by using experimental data and field data. The results show that the improved model can effectively simulate the bicycle flow. The performance of the model under different parameters is investigated and discussed. Strengths and limitations of the improved model are suggested for future work.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:phsmap:v:487:y:2017:i:c:p:164-177
    DOI: 10.1016/j.physa.2017.05.036
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    References listed on IDEAS

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    1. 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.
    2. Fukui, Minoru & Nishinari, Katsuhiro & Takahashi, Daisuke & Ishibashi, Yoshihiro, 2002. "Metastable flows in a two-lane traffic model equivalent to extended Burgers cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 303(1), pages 226-238.
    3. Paul I. Richards, 1956. "Shock Waves on the Highway," Operations Research, INFORMS, vol. 4(1), pages 42-51, February.
    4. 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.
    5. Pucher, John & Komanoff, Charles & Schimek, Paul, 1999. "Bicycling renaissance in North America?: Recent trends and alternative policies to promote bicycling," Transportation Research Part A: Policy and Practice, Elsevier, vol. 33(7-8), pages 625-654.
    6. Vasic, Jelena & Ruskin, Heather J., 2012. "Cellular automata simulation of traffic including cars and bicycles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2720-2729.
    7. Daganzo, Carlos F., 1994. "The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory," Transportation Research Part B: Methodological, Elsevier, vol. 28(4), pages 269-287, August.
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    Citations

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    Cited by:

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    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. 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).
    8. Jin, Zhizhan & Yang, Zaili & Ge, Hongxia, 2018. "Energy consumption investigation for a new car-following model considering driver’s memory and average speed of the vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 1038-1049.
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