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A constraint programming model for real-time train scheduling at junctions

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  • Rodriguez, Joaquín

Abstract

In this paper, we present a constraint programming model for the routing and scheduling of trains running through a junction. The model uses input data from relevant time events of train runs calculated by a simulator. The model can be integrated into a decision support system used by operators who make decisions to change train routes or orders to avoid conflicts and delays. The model has been applied to a set of problem instances. This set has been defined from a real case study of traffic on the Pierrefitte-Gonesse node, North of Paris. Preliminary results show that the solution identified by the model yields a significant improvement in performance within an acceptable computation time.

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  • Rodriguez, Joaquín, 2007. "A constraint programming model for real-time train scheduling at junctions," Transportation Research Part B: Methodological, Elsevier, vol. 41(2), pages 231-245, February.
    • Handle: RePEc:eee:transb:v:41:y:2007:i:2:p:231-245
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    1. Carlier, J. & Pinson, E., 1994. "Adjustment of heads and tails for the job-shop problem," European Journal of Operational Research, Elsevier, vol. 78(2), pages 146-161, October.
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    1. Pellegrini, Paola & Marlière, Grégory & Rodriguez, Joaquin, 2014. "Optimal train routing and scheduling for managing traffic perturbations in complex junctions," Transportation Research Part B: Methodological, Elsevier, vol. 59(C), pages 58-80.
    2. Zhang, Yongxiang & D'Ariano, Andrea & He, Bisheng & Peng, Qiyuan, 2019. "Microscopic optimization model and algorithm for integrating train timetabling and track maintenance task scheduling," Transportation Research Part B: Methodological, Elsevier, vol. 127(C), pages 237-278.
    3. Pellegrini, Paola & Rodriguez, Joaquin, 2013. "Single European Sky and Single European Railway Area: A system level analysis of air and rail transportation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 57(C), pages 64-86.
    4. Richard Lusby & Jesper Larsen & David Ryan & Matthias Ehrgott, 2011. "Routing Trains Through Railway Junctions: A New Set-Packing Approach," Transportation Science, INFORMS, vol. 45(2), pages 228-245, May.
    5. Acuna-Agost, Rodrigo & Michelon, Philippe & Feillet, Dominique & Gueye, Serigne, 2011. "SAPI: Statistical Analysis of Propagation of Incidents. A new approach for rescheduling trains after disruptions," European Journal of Operational Research, Elsevier, vol. 215(1), pages 227-243, November.
    6. Xuelei Meng & Yahui Wang & Li Lin & Lei Li & Limin Jia, 2021. "An Integrated Model of Train Re-Scheduling and Control for High-Speed Railway," Sustainability, MDPI, vol. 13(21), pages 1-20, October.
    7. Rajnish Kumar & Goutam Sen & Samarjit Kar & Manoj Kumar Tiwari, 2018. "Station Dispatching Problem for a Large Terminal: A Constraint Programming Approach," Interfaces, INFORMS, vol. 48(6), pages 510-528, November.
    8. Lee, Yusin & Chen, Chuen-Yih, 2009. "A heuristic for the train pathing and timetabling problem," Transportation Research Part B: Methodological, Elsevier, vol. 43(8-9), pages 837-851, September.
    9. 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.
    10. Wang, Yihui & Zhao, Kangqi & D’Ariano, Andrea & Niu, Ru & Li, Shukai & Luan, Xiaojie, 2021. "Real-time integrated train rescheduling and rolling stock circulation planning for a metro line under disruptions," Transportation Research Part B: Methodological, Elsevier, vol. 152(C), pages 87-117.
    11. Bettinelli, Andrea & Santini, Alberto & Vigo, Daniele, 2017. "A real-time conflict solution algorithm for the train rescheduling problem," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 237-265.
    12. Mina Aliakbari & Joseph Geunes, 2022. "Multiple Train Repositioning Operations in a Railyard Network," SN Operations Research Forum, Springer, vol. 3(4), pages 1-31, December.
    13. KePing Li & ZiYou Gao & BaoHua Mao & ChengXuan Cao, 2011. "Optimizing Train Network Routing Using Deterministic Search," Networks and Spatial Economics, Springer, vol. 11(2), pages 193-205, June.
    14. Corman, Francesco & D'Ariano, Andrea & Pacciarelli, Dario & Pranzo, Marco, 2010. "A tabu search algorithm for rerouting trains during rail operations," Transportation Research Part B: Methodological, Elsevier, vol. 44(1), pages 175-192, January.
    15. G. Caimi & F. Chudak & M. Fuchsberger & M. Laumanns & R. Zenklusen, 2011. "A New Resource-Constrained Multicommodity Flow Model for Conflict-Free Train Routing and Scheduling," Transportation Science, INFORMS, vol. 45(2), pages 212-227, May.
    16. Andrea D'Ariano & Francesco Corman & Dario Pacciarelli & Marco Pranzo, 2008. "Reordering and Local Rerouting Strategies to Manage Train Traffic in Real Time," Transportation Science, INFORMS, vol. 42(4), pages 405-419, November.
    17. Samà, Marcella & Pellegrini, Paola & D’Ariano, Andrea & Rodriguez, Joaquin & Pacciarelli, Dario, 2016. "Ant colony optimization for the real-time train routing selection problem," Transportation Research Part B: Methodological, Elsevier, vol. 85(C), pages 89-108.
    18. Gabriel E. Sánchez-Martínez & Nigel H. M. Wilson & Haris N. Koutsopoulos, 2017. "Schedule-free high-frequency transit operations," Public Transport, Springer, vol. 9(1), pages 285-305, July.
    19. Burdett, R.L. & Kozan, E., 2009. "Techniques for inserting additional trains into existing timetables," Transportation Research Part B: Methodological, Elsevier, vol. 43(8-9), pages 821-836, September.
    20. Lamorgese, Leonardo & Mannino, Carlo & Natvig, Erik, 2017. "An exact micro–macro approach to cyclic and non-cyclic train timetabling," Omega, Elsevier, vol. 72(C), pages 59-70.
    21. Aurélien Froger & Michel Gendreau & Jorge E. Mendoza & Eric Pinson & Louis-Martin Rousseau, 2018. "Solving a wind turbine maintenance scheduling problem," Journal of Scheduling, Springer, vol. 21(1), pages 53-76, February.
    22. Luan, Xiaojie & Wang, Yihui & De Schutter, Bart & Meng, Lingyun & Lodewijks, Gabriel & Corman, Francesco, 2018. "Integration of real-time traffic management and train control for rail networks - Part 1: Optimization problems and solution approaches," Transportation Research Part B: Methodological, Elsevier, vol. 115(C), pages 41-71.

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