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A branch-and-price approach for solving the train unit scheduling problem

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  1. Li, Siqiao & Zhu, Xiaoning & Shang, Pan & Wang, Li & Li, Tianqi, 2024. "Scheduling shared passenger and freight transport for an underground logistics system," Transportation Research Part B: Methodological, Elsevier, vol. 183(C).
  2. Zhu, Jia Hui & Dollevoet, Twan & Huisman, Dennis, 2025. "An exact and heuristic framework for rolling stock rescheduling with railway infrastructure availability constraints," Transportation Research Part B: Methodological, Elsevier, vol. 195(C).
  3. Gao, Yuan & Schmidt, Marie & Yang, Lixing & Gao, Ziyou, 2020. "A branch-and-price approach for trip sequence planning of high-speed train units," Omega, Elsevier, vol. 92(C).
  4. Zhao, Yaqiong & Li, Dewei & Yin, Yonghao & Zhao, Xiaoli, 2023. "Integrated optimization of demand-driven timetable, train formation plan and rolling stock circulation with variable running times and dwell times," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 171(C).
  5. Zhang, Chuntian & Xu, Zhou & Yang, Lixing & Gao, Ziyou & Gao, Yuan, 2025. "Robust train carriage planning for mixed transportation of passengers and uncertain freights in a high-speed railway network," Transportation Research Part B: Methodological, Elsevier, vol. 196(C).
  6. Chen, Zhiwei & Li, Xiaopeng & Zhou, Xuesong, 2020. "Operational design for shuttle systems with modular vehicles under oversaturated traffic: Continuous modeling method," Transportation Research Part B: Methodological, Elsevier, vol. 132(C), pages 76-100.
  7. Wang, Hongyang & Yang, Lixing & Zhang, Jinlei & Luo, Qin & Fan, Zhongsheng, 2024. "Real-time train timetabling with virtual coupling operations on a Y-type metro line," European Journal of Operational Research, Elsevier, vol. 319(1), pages 168-190.
  8. Chen, Zhiwei & Li, Xiaopeng & Zhou, Xuesong, 2019. "Operational design for shuttle systems with modular vehicles under oversaturated traffic: Discrete modeling method," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 1-19.
  9. 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.
  10. Gao, Yuan & Xia, Jun & D’Ariano, Andrea & Yang, Lixing, 2022. "Weekly rolling stock planning in Chinese high-speed rail networks," Transportation Research Part B: Methodological, Elsevier, vol. 158(C), pages 295-322.
  11. 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).
  12. Niu, Huimin & Zhou, Xuesong & Tian, Xiaopeng, 2018. "Coordinating assignment and routing decisions in transit vehicle schedules: A variable-splitting Lagrangian decomposition approach for solution symmetry breaking," Transportation Research Part B: Methodological, Elsevier, vol. 107(C), pages 70-101.
  13. Zhou, Housheng & Qi, Jianguo & Yang, Lixing & Shi, Jungang & Pan, Hanchuan & Gao, Yuan, 2022. "Joint optimization of train timetabling and rolling stock circulation planning: A novel flexible train composition mode," Transportation Research Part B: Methodological, Elsevier, vol. 162(C), pages 352-385.
  14. Canca, David & Barrena, Eva, 2018. "The integrated rolling stock circulation and depot location problem in railway rapid transit systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 109(C), pages 115-138.
  15. Hongyang Wang & Lixing Yang & Housheng Zhou, 2025. "Enhancing Efficiency and Fairness: Rolling Stock Scheduling with Virtual Coupling and Short-Turning Strategies," Transportation Science, INFORMS, vol. 59(6), pages 1303-1328, November.
  16. Camilo Ortiz-Astorquiza & Jean-François Cordeau & Emma Frejinger, 2021. "The Locomotive Assignment Problem with Distributed Power at the Canadian National Railway Company," Transportation Science, INFORMS, vol. 55(2), pages 510-531, March.
  17. Niu, Jiaxin & Qiao, Ke & Zhao, Peng, 2025. "Reliability improvement of rolling stock planning with maintenance requirements for high-speed railway," Reliability Engineering and System Safety, Elsevier, vol. 259(C).
  18. Frisch, Sarah & Hungerländer, Philipp & Jellen, Anna & Primas, Bernhard & Steininger, Sebastian & Weinberger, Dominic, 2021. "Solving a real-world Locomotive Scheduling Problem with Maintenance Constraints," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 386-409.
  19. Li, Chen & Xia, Yang & Guo, Sinan & Wei, Yuguang, 2025. "A comprehensive approach to multi-formation train line planning: Optimization and adjustment under “Daily Train Plan”," Energy, Elsevier, vol. 320(C).
  20. Lusby, Richard M. & Haahr, Jørgen Thorlund & Larsen, Jesper & Pisinger, David, 2017. "A Branch-and-Price algorithm for railway rolling stock rescheduling," Transportation Research Part B: Methodological, Elsevier, vol. 99(C), pages 228-250.
  21. Li, Tao & Li, Dewei & Ji, Haotian & Ma, Jialun, 2026. "Integrated optimization of train timetabling, stop planning, rolling stock maintenance and assignment with flexible train composition and short-turning strategies," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 207(C).
  22. Zhang, Bojian & Zhao, Jun & D’Ariano, Andrea & Zhang, Yongxiang & Feng, Tao & Peng, Qiyuan, 2024. "An iterative method for integrated hump sequencing, train makeup, and classification track assignment in railway shunting yard," Transportation Research Part B: Methodological, Elsevier, vol. 190(C).
  23. Jia Feng & Guowei Li & Yuxin Shi & Zhengzhong Li & Shanshan Liu, 2022. "Urban Rail Transit Rolling Stock Scheduling Optimization with Shared Depot," Sustainability, MDPI, vol. 14(22), pages 1-16, November.
  24. Wenjun Li & Peng Liu, 2022. "EMU Route Plan Optimization by Integrating Trains from Different Periods," Sustainability, MDPI, vol. 14(20), pages 1-14, October.
  25. Yang, Lin & Gao, Yuan & D’Ariano, Andrea & Xu, Suxiu, 2024. "Integrated optimization of train timetable and train unit circulation for a Y-type urban rail transit system with flexible train composition mode," Omega, Elsevier, vol. 122(C).
  26. Coutton, Baptiste & Pacino, Dario & Holst, Klaus & Guericke, Stefan & Kidd, Martin Philip, 2025. "Heuristic approaches for freight containerization with business rules," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 197(C).
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