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Modelling bus bunching under variable transit demand using cellular automata

Author

Listed:
  • Fatemeh Enayatollahi

    (University of Tehran)

  • Ahmed Osman Idris

    (Arab Academy for Science, Technology and Maritime Transport
    University of British Columbia)

  • M. A. Amiri Atashgah

    (University of Tehran)

Abstract

Bunching is an operational problem, in bus transit systems with high service frequency, that can lower capacity and affects user satisfaction. The headway (i.e. amount of time between transit vehicle arrivals at a stop) is intrinsically unstable, such that minor disturbances can cause divergence from the scheduled service. In this paper, a bus route is modelled using a one-dimensional cellular automata to investigate the effects of variations in passenger demand on headway instability and the bus bunching phenomenon. Unlike previous research, this study utilizes a typical route design approach, rather than obtaining a phase diagram from random passenger demand and service frequency. The results show that a one-second decrease in boarding and alighting times per passenger can significantly reduce bunching formation. Such a reduction can be achieved by adopting in-station fare collection methods as opposed to onboard ones, and/or using low-floor buses with wider/multiple doors/channels. In addition, an active mitigation strategy is proposed to prevent the formation of bunching. It is shown that limiting the waiting time for the delayed bus at stops has a great effect on regulating headways and mitigating bunching. Further, to compare different bunching situations, a new index is proposed to evaluate bunching severity (i.e. the number of buses involved in bunching) and intensity (i.e. the overall deviation from the scheduled headway). Using the developed index, it is found that a high Peak-Hour Coefficient acts like an uncontrolled traffic light that regulates the bus flow, resulting in less severe bunching, regardless of the subsequent total delay in the service.

Suggested Citation

  • Fatemeh Enayatollahi & Ahmed Osman Idris & M. A. Amiri Atashgah, 2019. "Modelling bus bunching under variable transit demand using cellular automata," Public Transport, Springer, vol. 11(2), pages 269-298, August.
  • Handle: RePEc:spr:pubtra:v:11:y:2019:i:2:d:10.1007_s12469-019-00203-2
    DOI: 10.1007/s12469-019-00203-2
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    References listed on IDEAS

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    1. Martin Fellendorf & Peter Vortisch, 2010. "Microscopic Traffic Flow Simulator VISSIM," International Series in Operations Research & Management Science, in: Jaume Barceló (ed.), Fundamentals of Traffic Simulation, chapter 0, pages 63-93, Springer.
    2. David Verbich & Ehab Diab & Ahmed El-Geneidy, 2016. "Have they bunched yet? An exploratory study of the impacts of bus bunching on dwell and running times," Public Transport, Springer, vol. 8(2), pages 225-242, September.
    3. 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.
    4. Yao-Ming Yuan & Rui Jiang & Qing-Song Wu & Ruili Wang, 2007. "Traffic Behavior In A Two-Lane System Consisting Of A Mixture Of Buses And Cars," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(12), pages 1925-1938.
    5. Rui Jiang & Mao-Bin Hu & Bin Jia & Qing-Song Wu, 2003. "Realistic bus route model considering the capacity of the bus," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 34(3), pages 367-372, August.
    6. Petit, Antoine & Ouyang, Yanfeng & Lei, Chao, 2018. "Dynamic bus substitution strategy for bunching intervention," Transportation Research Part B: Methodological, Elsevier, vol. 115(C), pages 1-16.
    7. Daganzo, Carlos F., 2009. "A headway-based approach to eliminate bus bunching: Systematic analysis and comparisons," Transportation Research Part B: Methodological, Elsevier, vol. 43(10), pages 913-921, December.
    8. Daganzo, Carlos F., 1995. "The cell transmission model, part II: Network traffic," Transportation Research Part B: Methodological, Elsevier, vol. 29(2), pages 79-93, April.
    9. Bartholdi, John J. & Eisenstein, Donald D., 2012. "A self-coördinating bus route to resist bus bunching," Transportation Research Part B: Methodological, Elsevier, vol. 46(4), pages 481-491.
    10. Wei-Wei Zhang & Rui Jiang & Yao-Ming Yuan & Qing-Song Wu, 2008. "Traffic Dynamics In A Two-Lane Mixed Traffic System: Effect Of Four Lane Changing Regulations," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(11), pages 1705-1715.
    11. Nagatani, Takashi, 2002. "Bunching and delay in bus-route system with a couple of recurrent buses," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 305(3), pages 629-639.
    12. Nagatani, Takashi, 2000. "Kinetic clustering and jamming transitions in a car-following model for bus route," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(1), pages 302-312.
    13. Andres, Matthias & Nair, Rahul, 2017. "A predictive-control framework to address bus bunching," Transportation Research Part B: Methodological, Elsevier, vol. 104(C), pages 123-148.
    14. Ge, Shi-Gong & Ding, Zhong-Jun & Jiang, Rui & Shi, Qin & Kühne, Reinhart & Long, Jiancheng & Ding, Jian-Xun & Wang, Bing-Hong, 2016. "Influence of synchronized traffic light on the states of bus operating system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 453(C), pages 9-23.
    15. Daganzo, Carlos F. & Pilachowski, Josh, 2011. "Reducing bunching with bus-to-bus cooperation," Transportation Research Part B: Methodological, Elsevier, vol. 45(1), pages 267-277, January.
    16. Huijberts, H.J.C., 2002. "Analysis of a continuous car-following model for a bus route: existence, stability and bifurcations of synchronous motions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 308(1), pages 489-517.
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