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Using Integer Programming to Solve the Train-Platforming Problem

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  • Alain Billionnet

    (CEDRIC-IIE, 18 Allée Jean Rostand, 91025 Evry Cedex, France)

Abstract

We consider the problem of assigning trains to the available tracks at a railway station, given the daily timetable and the structural and operational constraints. This trainplatforming problem is a key problem in railway station operations, and for a large station, many working days are required for an expert planner to construct the train-platforming. This problem was studied in De Luca Cardillo and Mione (1998), where it is formulated as a graph-coloring problem. These authors propose to solve it by an efficient heuristic algorithm combined with reduction techniques. In this paper, we show that integer programming is a very interesting tool to exactly solve the train-platforming problem as formulated in De Luca Cardillo and Mione (1998) by a graph-coloring problem. The fact of being able to solve it in an exact way by using an integer-programming solver obviously has many advantages. Some computational results are reported.

Suggested Citation

  • Alain Billionnet, 2003. "Using Integer Programming to Solve the Train-Platforming Problem," Transportation Science, INFORMS, vol. 37(2), pages 213-222, May.
    • Handle: RePEc:inm:ortrsc:v:37:y:2003:i:2:p:213-222
    DOI: 10.1287/trsc.37.2.213.15250
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    1. Jean-François Cordeau & Paolo Toth & Daniele Vigo, 1998. "A Survey of Optimization Models for Train Routing and Scheduling," Transportation Science, INFORMS, vol. 32(4), pages 380-404, November.
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    1. Sels, P. & Vansteenwegen, P. & Dewilde, T. & Cattrysse, D. & Waquet, B. & Joubert, A., 2014. "The train platforming problem: The infrastructure management company perspective," Transportation Research Part B: Methodological, Elsevier, vol. 61(C), pages 55-72.
    2. Burdett, R.L. & Kozan, E., 2010. "A disjunctive graph model and framework for constructing new train schedules," European Journal of Operational Research, Elsevier, vol. 200(1), pages 85-98, January.
    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. Alberto Caprara & Laura Galli & Paolo Toth, 2011. "Solution of the Train Platforming Problem," Transportation Science, INFORMS, vol. 45(2), pages 246-257, May.
    5. Dennis Huisman & Leo G. Kroon & Ramon M. Lentink & Michiel J. C. M. Vromans, 2005. "Operations Research in passenger railway transportation," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 59(4), pages 467-497, November.
    6. 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.
    7. Lu, Gongyuan & Nie, Yu(Marco) & Liu, Xiaobo & Li, Denghui, 2019. "Trajectory-based traffic management inside an autonomous vehicle zone," Transportation Research Part B: Methodological, Elsevier, vol. 120(C), pages 76-98.
    8. Lu, Gongyuan & Ning, Jia & Liu, Xiaobo & Nie, Yu (Marco), 2022. "Train platforming and rescheduling with flexible interlocking mechanisms: An aggregate approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 159(C).
    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. Jingliu Xu & Zhimei Wang & Shangjun Yao & Jiarong Xue, 2022. "Train Operations Organization in High-Speed Railway Station Considering Variable Configuration," Sustainability, MDPI, vol. 14(4), pages 1-17, February.
    11. Matthew E. H. Petering & Mojtaba Heydar & Dietrich R. Bergmann, 2016. "Mixed-Integer Programming for Railway Capacity Analysis and Cyclic, Combined Train Timetabling and Platforming," Transportation Science, INFORMS, vol. 50(3), pages 892-909, August.
    12. 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.
    13. E. Ursavas & Stuart X. Zhu, 2018. "Integrated Passenger and Freight Train Planning on Shared-Use Corridors," Service Science, INFORMS, vol. 52(6), pages 1376-1390, December.
    14. Wenliang Zhou & Xiaorong You & Wenzhuang Fan, 2020. "A Mixed Integer Linear Programming Method for Simultaneous Multi-Periodic Train Timetabling and Routing on a High-Speed Rail Network," Sustainability, MDPI, vol. 12(3), pages 1-34, February.
    15. Chakroborty, Partha & Vikram, Durgesh, 2008. "Optimum assignment of trains to platforms under partial schedule compliance," Transportation Research Part B: Methodological, Elsevier, vol. 42(2), pages 169-184, February.
    16. Yinggui Zhang & Ruihua Hu & Qiongfang Zeng & Yuhang Wang & Ya Liu & Shan Huang, 2023. "Optimal Train Platforming with Shunting Operations for Multidirectional Passenger Stations: A Case Study of Guangzhou Station," Mathematics, MDPI, vol. 11(14), pages 1-19, July.

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