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Fast or forced to follow: A speed heterogeneous approach to congested multi-lane bicycle traffic simulation

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  • Paulsen, Mads
  • Rasmussen, Thomas Kjær
  • Nielsen, Otto Anker

Abstract

Copenhagen is world-known for its large proportion of cyclists, forming a diverse group with a large variation of equipment and physical abilities. This leads to a considerable speed heterogeneity which needs to be taken into account when modelling the traffic on dedicated bicycle paths. Nevertheless, existing studies on bicycle traffic simulation have either neglected such speed heterogeneity altogether or modelled it by dividing cyclists into a few discrete classes ignoring the entirety of the speed distribution. This paper proposes an efficient bicycle traffic simulation model with continuously speed heterogeneous cyclists and corresponding congestion effects. Based on individual-specific desired speeds and headway distance preferences, the model shows realistic speed-flow relationships validated with on-site observations while being capable of delaying rapid cyclists more often than slower ones in moderate traffic flows. The scalability of the model allows it to be large-scale applicable for network loading purposes, and thus suitable for evaluating impacts of cycling related infrastructure investments.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transb:v:127:y:2019:i:c:p:72-98
    DOI: 10.1016/j.trb.2019.07.002
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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. Xiaonian Shan & Zhibin Li & Xiaohong Chen & Jianhong Ye, 2015. "A Modified Cellular Automaton Approach for Mixed Bicycle Traffic Flow Modeling," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-11, July.
    3. Hoogendoorn, S.P., 2005. "Unified approach to estimating free speed distributions," Transportation Research Part B: Methodological, Elsevier, vol. 39(8), pages 709-727, September.
    4. Paul I. Richards, 1956. "Shock Waves on the Highway," Operations Research, INFORMS, vol. 4(1), pages 42-51, February.
    5. 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.
    6. 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.
    7. 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.
    8. Zhao, Yongxiang & Zhang, H.M., 2017. "A unified follow-the-leader model for vehicle, bicycle and pedestrian traffic," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 315-327.
    9. 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.
    10. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-260, May.
    11. 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.
    12. Dan Zhou & Sheng Jin & Dongfang Ma & Dianhai Wang, 2015. "Modeling Mixed Bicycle Traffic Flow: A Comparative Study on the Cellular Automata Approach," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-11, August.
    13. Wong, G. C. K. & Wong, S. C., 2002. "A multi-class traffic flow model - an extension of LWR model with heterogeneous drivers," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(9), pages 827-841, November.
    14. Cheng-Jie Jin & Wei Wang & Rui Jiang & Li-Yun Dong, 2017. "Simulating pedestrian flow by an improved two-process cellular automaton model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(02), pages 1-17, February.
    15. Jin, Sheng & Qu, Xiaobo & Zhou, Dan & Xu, Cheng & Ma, Dongfang & Wang, Dianhai, 2015. "Estimating cycleway capacity and bicycle equivalent unit for electric bicycles," Transportation Research Part A: Policy and Practice, Elsevier, vol. 77(C), pages 225-248.
    16. Paul Wasielewski, 1979. "Car-Following Headways on Freeways Interpreted by the Semi-Poisson Headway Distribution Model," Transportation Science, INFORMS, vol. 13(1), pages 36-55, February.
    17. Tang, Tie-Qiao & Rui, Ying-Xu & Zhang, Jian & Shang, Hua-Yan, 2018. "A cellular automation model accounting for bicycle’s group behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1782-1797.
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    3. Mads Paulsen & Thomas Kjær Rasmussen & Otto Anker Nielsen, 2022. "Including Right-of-Way in a Joint Large-Scale Agent-Based Dynamic Traffic Assignment Model for Cars and Bicycles," Networks and Spatial Economics, Springer, vol. 22(4), pages 915-957, December.

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