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Bus-based park-and-ride system: a stochastic model on multimodal network with congestion pricing schemes

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  • Zhiyuan Liu
  • Qiang Meng

Abstract

This paper focuses on modelling the network flow equilibrium problem on a multimodal transport network with bus-based park-and-ride (P&R) system and congestion pricing charges. The multimodal network has three travel modes: auto mode, transit mode and P&R mode. A continuously distributed value-of-time is assumed to convert toll charges and transit fares to time unit, and the users’ route choice behaviour is assumed to follow the probit-based stochastic user equilibrium principle with elastic demand. These two assumptions have caused randomness to the users’ generalised travel times on the multimodal network. A comprehensive network framework is first defined for the flow equilibrium problem with consideration of interactions between auto flows and transit (bus) flows. Then, a fixed-point model with unique solution is proposed for the equilibrium flows, which can be solved by a convergent cost averaging method. Finally, the proposed methodology is tested by a network example.

Suggested Citation

  • Zhiyuan Liu & Qiang Meng, 2014. "Bus-based park-and-ride system: a stochastic model on multimodal network with congestion pricing schemes," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(5), pages 994-1006, May.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:994-1006
    DOI: 10.1080/00207721.2012.743617
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    Cited by:

    1. Ye, Jiao & Jiang, Yu & Chen, Jun & Liu, Zhiyuan & Guo, Renzhong, 2021. "Joint optimisation of transfer location and capacity for a capacitated multimodal transport network with elastic demand: a bi-level programming model and paradoxes," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 156(C).
    2. Xinyuan Chen & Ruyang Yin & Qinhe An & Yuan Zhang, 2021. "Modeling a Distance-Based Preferential Fare Scheme for Park-and-Ride Services in a Multimodal Transport Network," Sustainability, MDPI, vol. 13(5), pages 1-14, March.
    3. Songyot Kitthamkesorn & Anthony Chen & Sathaporn Opasanon & Suwicha Jaita, 2021. "A P-Hub Location Problem for Determining Park-and-Ride Facility Locations with the Weibit-Based Choice Model," Sustainability, MDPI, vol. 13(14), pages 1-16, July.
    4. Wang, Zhichao & Jiang, Rui & Jiang, Yu & Gao, Ziyou & Liu, Ronghui, 2024. "Modelling bus bunching along a common line corridor considering passenger arrival time and transfer choice under stochastic travel time," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 181(C).
    5. Kimpton, Anthony & Pojani, Dorina & Sipe, Neil & Corcoran, Jonathan, 2020. "Parking Behavior: Park ‘n’ Ride (PnR) to encourage multimodalism in Brisbane," Land Use Policy, Elsevier, vol. 91(C).
    6. Liu, Zhiyuan & Chen, Xinyuan & Meng, Qiang & Kim, Inhi, 2018. "Remote park-and-ride network equilibrium model and its applications," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 37-62.
    7. Jairo Ortega & János Tóth & Tamás Péter, 2021. "A Comprehensive Model to Study the Dynamic Accessibility of the Park & Ride System," Sustainability, MDPI, vol. 13(7), pages 1-17, April.
    8. Ren, Hualing & Song, Yingjie & Long, Jiancheng & Si, Bingfeng, 2021. "A new transit assignment model based on line and node strategies," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 121-142.
    9. Sun, S. & Szeto, W.Y., 2018. "Logit-based transit assignment: Approach-based formulation and paradox revisit," Transportation Research Part B: Methodological, Elsevier, vol. 112(C), pages 191-215.
    10. Xinyuan Chen & Yiran Wang & Yuan Zhang, 2021. "A Trial-and-Error Toll Design Method for Traffic Congestion Mitigation on Large River-Crossing Channels in a Megacity," Sustainability, MDPI, vol. 13(5), pages 1-13, March.
    11. Wang, David Z.W. & Nayan, Ashish & Szeto, W.Y., 2018. "Optimal bus service design with limited stop services in a travel corridor," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 111(C), pages 70-86.
    12. Wang, Shuaian & Qu, Xiaobo, 2017. "Station choice for Australian commuter rail lines: Equilibrium and optimal fare design," European Journal of Operational Research, Elsevier, vol. 258(1), pages 144-154.

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