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A case study on the coordination of last trains for the Beijing subway network

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  • Kang, Liujiang
  • Wu, Jianjun
  • Sun, Huijun
  • Zhu, Xiaoning
  • Gao, Ziyou

Abstract

Passengers may make several transfers between different lines to reach their destinations in urban railway transit networks. Coordination of last trains in feeding lines and connecting lines at transfer stations is especially important because it is the last chance for many travellers to transfer. In this paper, a mathematical method is used to reveal the relationships between passenger transfer connection time (PTCT) and passenger transfer waiting time (PTWT). A last-train network transfer model (LNTM) is established to maximize passenger transfer connection headways (PTCH), which reflect last-train connections and transfer waiting time. Additionally, a genetic algorithm (GA) is developed based upon this LNTM model and used to test a numerical example to verify its effectiveness. Finally, the Beijing subway network is taken as a case study. The results of the numerical example show that the model improves five connections and reduces to zero the number of cases when a feeder train arrives within one headway’s time after the connecting train departed.

Suggested Citation

  • Kang, Liujiang & Wu, Jianjun & Sun, Huijun & Zhu, Xiaoning & Gao, Ziyou, 2015. "A case study on the coordination of last trains for the Beijing subway network," Transportation Research Part B: Methodological, Elsevier, vol. 72(C), pages 112-127.
    • Handle: RePEc:eee:transb:v:72:y:2015:i:c:p:112-127
    DOI: 10.1016/j.trb.2014.09.003
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    3. Wang, Chao & Meng, Xin & Guo, Mingxue & Li, Hao & Hou, Zhiqiang, 2022. "An integrated energy-efficient and transfer-accessible model for the last train timetabling problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
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    5. Nie, Wei & Li, Hao & Xiao, Na & Yang, Hao & Jiang, Zhishu & Buhigiro, Nsabimana, 2021. "Modeling and solving the last-shift period train scheduling problem in subway networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 569(C).
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    14. Huanhuan Lv & Yuzhao Zhang & Kang Huang & Xiaotong Yu & Jianjun Wu, 2019. "An Energy-Efficient Timetable Optimization Approach in a Bi-DirectionUrban Rail Transit Line: A Mixed-Integer Linear Programming Model," Energies, MDPI, vol. 12(14), pages 1-24, July.
    15. Sun, Huijun & Wu, Jianjun & Wu, Lijuan & Yan, Xiaoyong & Gao, Ziyou, 2016. "Estimating the influence of common disruptions on urban rail transit networks," Transportation Research Part A: Policy and Practice, Elsevier, vol. 94(C), pages 62-75.
    16. Kang, Liujiang & Zhu, Xiaoning & Sun, Huijun & Puchinger, Jakob & Ruthmair, Mario & Hu, Bin, 2016. "Modeling the first train timetabling problem with minimal missed trains and synchronization time differences in subway networks," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 17-36.
    17. Jian Li & Lu Zhang & Bu Liu & Ningning Shi & Liang Li & Haodong Yin, 2023. "Travel-Energy-Based Timetable Optimization in Urban Subway Systems," Sustainability, MDPI, vol. 15(3), pages 1-21, January.
    18. Kang, Liujiang & Sun, Huijun & Wu, Jianjun & Gao, Ziyou, 2020. "Last train station-skipping, transfer-accessible and energy-efficient scheduling in subway networks," Energy, Elsevier, vol. 206(C).
    19. Hu, Yuting & Li, Shukai & Dessouky, Maged M. & Yang, Lixing & Gao, Ziyou, 2022. "Computationally efficient train timetable generation of metro networks with uncertain transfer walking time to reduce passenger waiting time: A generalized Benders decomposition-based method," Transportation Research Part B: Methodological, Elsevier, vol. 163(C), pages 210-231.
    20. Mitra Heidari & Seyyed-Mahdi Hosseini-Motlagh & Nariman Nikoo, 2020. "A subway planning bi-objective multi-period optimization model integrating timetabling and vehicle scheduling: a case study of Tehran," Transportation, Springer, vol. 47(1), pages 417-443, February.
    21. Ioannou, Petros & Chen, Pengfei, 2023. "Centrally Coordinated Schedules and Routes of Airport Shuttles with LAX Terminals as Application Area," Institute of Transportation Studies, Working Paper Series qt6gg7r6c5, Institute of Transportation Studies, UC Davis.
    22. Zhang, Quan & Li, Xuan & Yan, Tao & Lu, Lili & Shi, Yang, 2022. "Last train timetabling optimization for minimizing passenger transfer failures in urban rail transit networks: A time period based approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    23. Wanqi Wang & Yun Bao & Sihui Long, 2022. "Rescheduling Urban Rail Transit Trains to Serve Passengers from Uncertain Delayed High-Speed Railway Trains," Sustainability, MDPI, vol. 14(9), pages 1-20, May.
    24. Zhou, Yu & Wang, Yun & Yang, Hai & Yan, Xuedong, 2019. "Last train scheduling for maximizing passenger destination reachability in urban rail transit networks," Transportation Research Part B: Methodological, Elsevier, vol. 129(C), pages 79-95.
    25. Yang, Songpo & Liao, Feixiong & Wu, Jianjun & Timmermans, Harry J.P. & Sun, Huijun & Gao, Ziyou, 2020. "A bi-objective timetable optimization model incorporating energy allocation and passenger assignment in an energy-regenerative metro system," Transportation Research Part B: Methodological, Elsevier, vol. 133(C), pages 85-113.

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