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Joint optimization of train scheduling and maintenance planning in a railway network: A heuristic algorithm using Lagrangian relaxation

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Cited by:

  1. Ji, Hangyu & Wang, Rui & Zhang, Chuntian & Yin, Jiateng & Ma, Lin & Yang, Lixing, 2024. "Optimization of train schedule with uncertain maintenance plans in high-speed railways: A stochastic programming approach," Omega, Elsevier, vol. 124(C).
  2. Zhang, Huimin & Li, Shukai & Wang, Yihui & Yang, Lixing & Gao, Ziyou, 2021. "Collaborative real-time optimization strategy for train rescheduling and track emergency maintenance of high-speed railway: A Lagrangian relaxation-based decomposition algorithm," Omega, Elsevier, vol. 102(C).
  3. Ying, Chengshuo & Chow, Andy H.F. & Yan, Yimo & Kuo, Yong-Hong & Wang, Shouyang, 2024. "Adaptive rescheduling of rail transit services with short-turnings under disruptions via a multi-agent deep reinforcement learning approach," Transportation Research Part B: Methodological, Elsevier, vol. 188(C).
  4. Ma, Yaochen & Yang, Hai & Wang, Hai, 2026. "Late-night and early-morning train scheduling with non-traffic hour maintenance window in urban rail transit systems," Transportation Research Part B: Methodological, Elsevier, vol. 209(C).
  5. Jesus Osorio & Shiyu Shen & Yanfeng Ouyang, 2024. "Planning Service Protocols for Extra-Long Trains with Transfers," Transportation Science, INFORMS, vol. 58(6), pages 1214-1234, November.
  6. Geng, Jiawei & Zhang, Chuntian & Yang, Lixing & Gao, Yuan & Gao, Ziyou, 2026. "Integrated bus bridging service design and vehicle scheduling considering passenger flow control strategy in an oversaturated metro network: A Lagrangian heuristic based on column generation," Transportation Research Part B: Methodological, Elsevier, vol. 207(C).
  7. Ansarilari, Zahra & Bodur, Merve & Shalaby, Amer, 2024. "A novel model for transfer synchronization in transit networks and a Lagrangian-based heuristic solution method," European Journal of Operational Research, Elsevier, vol. 317(1), pages 76-91.
  8. Zhen, Lu & Zhang, Nianzu & Yang, Zhiyuan, 2023. "Integrated optimization for high-speed railway express system with multiple modes," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 180(C).
  9. Cavalcante, Cristiano A.V. & Lopes, Rodrigo S. & Scarf, Philip A., 2021. "Inspection and replacement policy with a fixed periodic schedule," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
  10. Zhang, Qin & Lusby, Richard Martin & Shang, Pan & Liu, Chang & Liu, Wenqian, 2025. "Solving a multi-resolution model of the train platforming problem using Lagrangian Relaxation with dynamic multiplier aggregation," European Journal of Operational Research, Elsevier, vol. 324(3), pages 981-1001.
  11. Sedghi, Mahdieh & Kauppila, Osmo & Bergquist, Bjarne & Vanhatalo, Erik & Kulahci, Murat, 2021. "A taxonomy of railway track maintenance planning and scheduling: A review and research trends," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
  12. 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.
  13. Zhou, Bolong & Zeng, Wenjia & Liu, Wei & Yang, Hai, 2025. "Scheduling UAV-assisted urban subway inspection services," Transportation Research Part B: Methodological, Elsevier, vol. 199(C).
  14. 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.
  15. Chen, Zhiwei & Li, Xiaopeng, 2021. "Designing corridor systems with modular autonomous vehicles enabling station-wise docking: Discrete modeling method," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
  16. Menezes, Gustavo Campos & Souza, Marcone Jamilson Freitas & Cota, Luciano Perdigão, 2026. "Operations research in mining industry: Literature review and research opportunities," Resources Policy, Elsevier, vol. 118(C).
  17. Tang, Tao & Chai, Simin & Wu, Wei & Yin, Jiateng & D’Ariano, Andrea, 2025. "A multi-task deep reinforcement learning approach to real-time railway train rescheduling," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 194(C).
  18. 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.
  19. Yan, Shanshan & Fan, Dongming & Li, Bo & Ji, Ziguang & Zhang, Yue & Ren, Yi, 2026. "Coordinative optimization strategy for group track maintenance planning and train scheduling of railways," Reliability Engineering and System Safety, Elsevier, vol. 271(C).
  20. Aldona Jarašūnienė & Kristina Čižiūnienė, 2021. "Ensuring Sustainable Freight Carriage through Interoperability between Maritime and Rail Transport," Sustainability, MDPI, vol. 13(22), pages 1-19, November.
  21. Li, Shengdong & Zuo, Dajie & Li, Wenqing & Zhang, Yongxiang & Shi, Li, 2024. "Freight train line planning for large-scale high-speed rail network: An integer Benders decomposition-based branch-and-cut algorithm," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 192(C).
  22. Zhengwen Liao, 2023. "Rescheduling Out-of-Gauge Trains with Speed Restrictions and Temporal Blockades on the Opposite-Direction Track," Mathematics, MDPI, vol. 11(12), pages 1-26, June.
  23. Yu Jiang & Thomas Kjaer Rasmussen & Otto Anker Nielsen, 2022. "Integrated Optimization of Transit Networks with Schedule- and Frequency-Based Services Subject to the Bounded Stochastic User Equilibrium," Transportation Science, INFORMS, vol. 56(6), pages 1452-1468, November.
  24. Jing Zuo & Mengxing Shang & Jianwu Dang, 2022. "Research on the Optimization Model of Railway Emergency Rescue Network Considering Space-Time Accessibility," Sustainability, MDPI, vol. 14(21), pages 1-14, November.
  25. Saleh, Ali & Remenyte-Prescott, Rasa & Prescott, Darren & Chiachío, Manuel, 2024. "Intelligent and adaptive asset management model for railway sections using the iPN method," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
  26. 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).
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