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Solving cyclic train timetabling problem through model reformulation: Extended time-space network construct and Alternating Direction Method of Multipliers methods

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  1. Han Zheng & Junhua Chen & Zhaocha Huang & Jianhao Zhu, 2022. "Joint Optimization of Multi-Cycle Timetable Considering Supply-to-Demand Relationship and Energy Consumption for Rail Express," Mathematics, MDPI, vol. 10(21), pages 1-29, November.
  2. Martin-Iradi, Bernardo & Ropke, Stefan, 2022. "A column-generation-based matheuristic for periodic and symmetric train timetabling with integrated passenger routing," European Journal of Operational Research, Elsevier, vol. 297(2), pages 511-531.
  3. Wang, Entai & Yang, Lixing & Yin, Jiateng & Zhang, Jinlei & Gao, Ziyou, 2024. "Passenger-oriented rolling stock scheduling in the metro system with multiple depots: Network flow based approaches," Transportation Research Part B: Methodological, Elsevier, vol. 180(C).
  4. Polinder, G.-J. & Cacchiani, V. & Schmidt, M.E. & Huisman, D., 2020. "An iterative heuristic for passenger-centric train timetabling with integrated adaption times," ERIM Report Series Research in Management ERS-2020-006-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
  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. Cacchiani, Valentina & Qi, Jianguo & Yang, Lixing, 2020. "Robust optimization models for integrated train stop planning and timetabling with passenger demand uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 136(C), pages 1-29.
  7. Zhang, Yongxiang & Peng, Qiyuan & Lu, Gongyuan & Zhong, Qingwei & Yan, Xu & Zhou, Xuesong, 2022. "Integrated line planning and train timetabling through price-based cross-resolution feedback mechanism," Transportation Research Part B: Methodological, Elsevier, vol. 155(C), pages 240-277.
  8. Jiang, Yangsheng & Huangfu, Junjie & Xiao, Guosheng & Zhang, Yongxiang & Yao, Zhihong, 2025. "Energy-efficient trajectory design of connected automated vehicles platoon: A unified modeling approach using space-time-speed grid networks," Energy, Elsevier, vol. 314(C).
  9. Yunfang Peng & Xuejiao Li & Shiyu Liao & Wangchao Liu & Beixin Xia, 2025. "Scheduling the Just-in-Time Delivery of Parts for Mixed-Model Assembly Lines Considering the Electrical Energy Consumption of an Automated Guided Vehicle Trolley," Sustainability, MDPI, vol. 17(1), pages 1-23, January.
  10. Chi, Jushang & He, Shiwei & Zhang, Yongxiang, 2024. "Improved ADMM-based approach for optimizing intercity express transportation networks: A novel dual decomposition strategy with partial retention of coupling constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 192(C).
  11. Yueyi Li & Xiaodong Zhang, 2025. "Optimizing Scheduled Train Service for Seaport-Hinterland Corridors: A Time-Space-State Network Approach," Mathematics, MDPI, vol. 13(8), pages 1-26, April.
  12. Tian, Xiaopeng & Niu, Huimin, 2020. "Optimization of demand-oriented train timetables under overtaking operations: A surrogate-dual-variable column generation for eliminating indivisibility," Transportation Research Part B: Methodological, Elsevier, vol. 142(C), pages 143-173.
  13. Mo, Pengli & D’Ariano, Andrea & Yang, Lixing & Veelenturf, Lucas P. & Gao, Ziyou, 2021. "An exact method for the integrated optimization of subway lines operation strategies with asymmetric passenger demand and operating costs," Transportation Research Part B: Methodological, Elsevier, vol. 149(C), pages 283-321.
  14. Maciej Kruszyna, 2022. "NOAH as an Innovative Tool for Modeling the Use of Suburban Railways," Sustainability, MDPI, vol. 15(1), pages 1-17, December.
  15. Lu, Jiawei & Nie, Qinghui & Mahmoudi, Monirehalsadat & Ou, Jishun & Li, Chongnan & Zhou, Xuesong Simon, 2022. "Rich arc routing problem in city logistics: Models and solution algorithms using a fluid queue-based time-dependent travel time representation," Transportation Research Part B: Methodological, Elsevier, vol. 166(C), pages 143-182.
  16. Yidong Wang & Rui Song & Shiwei He & Zilong Song, 2022. "Train Routing and Track Allocation Optimization Model of Multi-Station High-Speed Railway Hub," Sustainability, MDPI, vol. 14(12), pages 1-21, June.
  17. Reisch, Julian & Großmann, Peter & Pöhle, Daniel & Kliewer, Natalia, 2021. "Conflict resolving – A local search algorithm for solving large scale conflict graphs in freight railway timetabling," European Journal of Operational Research, Elsevier, vol. 293(3), pages 1143-1154.
  18. Feng, Tao & Lusby, Richard M. & Zhang, Yongxiang & Tao, Siyu & Zhang, Bojian & Peng, Qiyuan, 2024. "A branch-and-price algorithm for integrating urban rail crew scheduling and rostering problems," Transportation Research Part B: Methodological, Elsevier, vol. 183(C).
  19. Reisch, Julian, 2020. "State of the art overview on automatic railway timetable generation and optimization," Discussion Papers 2020/20, Free University Berlin, School of Business & Economics.
  20. Zhan, Shuguang & Wong, S.C. & Shang, Pan & Peng, Qiyuan & Xie, Jiemin & Lo, S.M., 2021. "Integrated railway timetable rescheduling and dynamic passenger routing during a complete blockage," Transportation Research Part B: Methodological, Elsevier, vol. 143(C), pages 86-123.
  21. Zhang, Qin & Lusby, Richard Martin & Shang, Pan & Zhu, Xiaoning, 2022. "A heuristic approach to integrate train timetabling, platforming, and railway network maintenance scheduling decisions," Transportation Research Part B: Methodological, Elsevier, vol. 158(C), pages 210-238.
  22. Pan Shang & Yu Yao & Liya Yang & Lingyun Meng & Pengli Mo, 2021. "Integrated Model for Timetabling and Circulation Planning on an Urban Rail Transit Line: a Coupled Network-Based Flow Formulation," Networks and Spatial Economics, Springer, vol. 21(2), pages 331-364, June.
  23. Chao Li & Jinjin Tang & Jun Zhang & Qingqing Zhao & Lingli Wang & Jian Li, 2023. "Integrated optimization of urban rail transit line planning, timetabling and rolling stock scheduling," PLOS ONE, Public Library of Science, vol. 18(5), pages 1-30, May.
  24. Maël Guiraud & Yann Strozecki, 2024. "Scheduling periodic messages on a shared link without buffering," Journal of Scheduling, Springer, vol. 27(5), pages 461-484, October.
  25. Zhang, Chuntian & Gao, Yuan & Cacchiani, Valentina & Yang, Lixing & Gao, Ziyou, 2023. "Train rescheduling for large-scale disruptions in a large-scale railway network," Transportation Research Part B: Methodological, Elsevier, vol. 174(C).
  26. Zeyu Wang & Leishan Zhou & Bin Guo & Xing Chen & Hanxiao Zhou, 2021. "An Efficient Hybrid Approach for Scheduling the Train Timetable for the Longer Distance High-Speed Railway," Sustainability, MDPI, vol. 13(5), pages 1-22, February.
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