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Integrated line configuration and frequency determination with passenger path assignment in urban rail transit networks

Author

Listed:
  • Zhou, Yu
  • Yang, Hai
  • Wang, Yun
  • Yan, Xuedong

Abstract

This paper considers a line planning problem in an urban rail transit (URT) network with passenger path assignment. The line planning problem involves both line configuration and frequency setting for the optimization of a combination of operator-oriented objective (minimization of operating costs or maximization of profits) and passenger-oriented objective (minimization of total travel times). The interplay between the line planning and the passenger assignment is explicitly taken into account and the problem is formulated as a mixed-integer non-linear programming (MINLP) model with linear constraints. In order to take advantage of existing commercial mix-integer linear programming (MILP) solvers, we propose an outer approximation method to linearize the objective. Finally, the model and solution algorithm are illustrated with a simplified version of the Hong Kong Mass Transit Railway (MTR) network.

Suggested Citation

  • Zhou, Yu & Yang, Hai & Wang, Yun & Yan, Xuedong, 2021. "Integrated line configuration and frequency determination with passenger path assignment in urban rail transit networks," Transportation Research Part B: Methodological, Elsevier, vol. 145(C), pages 134-151.
    • Handle: RePEc:eee:transb:v:145:y:2021:i:c:p:134-151
    DOI: 10.1016/j.trb.2021.01.002
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    Citations

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    Cited by:

    1. Zhou, Yu & Meng, Qiang & Ong, Ghim Ping, 2022. "Electric Bus Charging Scheduling for a Single Public Transport Route Considering Nonlinear Charging Profile and Battery Degradation Effect," Transportation Research Part B: Methodological, Elsevier, vol. 159(C), pages 49-75.
    2. Yu, Liping & Liu, Huiran & Fang, Zhiming & Ye, Rui & Huang, Zhongyi & You, Yayun, 2023. "A new approach on passenger flow assignment with multi-connected agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 628(C).
    3. Meng, Yangyang & Zhao, Xiaofei & Liu, Jianzhong & Qi, Qingjie & Zhou, Wei, 2023. "Data-driven complexity analysis of weighted Shenzhen Metro network based on urban massive mobility in the rush hours," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 610(C).
    4. Luan, Xiaojie & Corman, Francesco, 2022. "Passenger-oriented traffic control for rail networks: An optimization model considering crowding effects on passenger choices and train operations," Transportation Research Part B: Methodological, Elsevier, vol. 158(C), pages 239-272.
    5. Feng, Tao & Lusby, Richard M. & Zhang, Yongxiang & Peng, Qiyuan, 2024. "Integrating train service route design with passenger flow allocation for an urban rail transit line," European Journal of Operational Research, Elsevier, vol. 313(1), pages 146-170.
    6. Xu, Guangming & Zhong, Linhuan & Hu, Xinlei & Liu, Wei, 2022. "Optimal pricing and seat allocation schemes in passenger railway systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
    7. Chan, Lok Shun, 2023. "Transition from fossil fuel propelled transport to electrified mass transit railway system - Experience from Hong Kong," Energy Policy, Elsevier, vol. 173(C).
    8. Yin, Dezhi & Huang, Wencheng & Shuai, Bin & Liu, Hongyi & Zhang, Yue, 2022. "Structural characteristics analysis and cascading failure impact analysis of urban rail transit network: From the perspective of multi-layer network," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    9. Abdulkerim Benli & İbrahim Akgün, 2023. "A Multi-Objective Mathematical Programming Model for Transit Network Design and Frequency Setting Problem," Mathematics, MDPI, vol. 11(21), pages 1-23, October.
    10. Javier Durán-Micco & Pieter Vansteenwegen, 2022. "A survey on the transit network design and frequency setting problem," Public Transport, Springer, vol. 14(1), pages 155-190, March.
    11. Xu, Guangming & Liu, Yihan & Gao, Yihan & Liu, Wei, 2023. "Integrated optimization of train stopping plan and seat allocation scheme for railway systems under equilibrium travel choice and elastic demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 177(C).
    12. Bisheng He & Yongjun Zhu & Andrea D’Ariano & Keyu Wen & Lufeng Chen, 2023. "Dynamic Relational Graph Convolutional Network for Metro Passenger Flow Forecasting," SN Operations Research Forum, Springer, vol. 4(4), pages 1-27, December.
    13. Wenliang Zhou & Xiang Li & Xin Shi, 2023. "Joint Optimization of Time-Dependent Line Planning and Differential Pricing with Passenger Train Choice in High-Speed Railway Networks," Mathematics, MDPI, vol. 11(6), pages 1-28, March.
    14. Masing, Berenike & Lindner, Niels & Borndörfer, Ralf, 2022. "The price of symmetric line plans in the Parametric City," Transportation Research Part B: Methodological, Elsevier, vol. 166(C), pages 419-443.
    15. Ming Wei & Congxin Yang & Tao Liu, 2022. "An Integrated Multi-Objective Optimization for Dynamic Airport Shuttle Bus Location, Route Design and Departure Frequency Setting Problem," IJERPH, MDPI, vol. 19(21), pages 1-20, November.
    16. Wang, Mengtong & Chen, Shukai & Meng, Qiang, 2024. "Robust safety driver scheduling for autonomous buses," Transportation Research Part B: Methodological, Elsevier, vol. 184(C).

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