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Delay effect on schedule in shuttle bus transportation controlled by capacity

Author

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  • Nagatani, Takashi

Abstract

We study a bus schedule in a shuttle bus transportation system controlled by capacity. The motion of shuttle buses depends on the inflow rate of passengers, the number of buses, and the delayed increase of buses. The bus schedule is closely related to the dynamic motion of buses. The delayed increase of buses has an important effect on the arrival of buses. We present the delayed piecewise map model for the dynamics of shuttle buses with the delayed increase. The motion of buses changes from a stable state to an unstable state and vice versa with increasing the inflow rate. The arrival of shuttle buses oscillates with various periods in the unstable state. The dynamic transitions change highly with the delayed increase of buses. We clarify the effect of the delayed increase on the bus schedule.

Suggested Citation

  • Nagatani, Takashi, 2012. "Delay effect on schedule in shuttle bus transportation controlled by capacity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(11), pages 3266-3276.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:11:p:3266-3276
    DOI: 10.1016/j.physa.2012.01.052
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    Cited by:

    1. Tang, Jinjun & Yang, Yifan & Qi, Yong, 2018. "A hybrid algorithm for Urban transit schedule optimization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 745-755.
    2. Gao, Cai & Yan, Chao & Zhang, Zili & Hu, Yong & Mahadevan, Sankaran & Deng, Yong, 2014. "An amoeboid algorithm for solving linear transportation problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 398(C), pages 179-186.
    3. Yuan, PengCheng & Juan, ZhiCai, 2013. "The related congestion failure estimating methodology and model in transportation networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4330-4344.
    4. Ramli, Muhamad Azfar & Jayaraman, Vasundhara & Kwek, Hyen Chee & Tan, Kian Heong & Lee Kee Khoon, Gary & Monterola, Christopher, 2018. "Improved estimation of commuter waiting times using headway and commuter boarding information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 501(C), pages 217-226.

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