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Extending a train pathing model from one-way to two-way track

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  • Carey, Malachy

Abstract

A train pathing model and algorithms for a rail network was presented and tested in a previous paper. There, it was assumed that each rail line has two or more tracks and each was dedicated to traffic in one direction as is usual in Europe. Here, we show how to adapt and extend that model and algorithms so as to handle trains on single line two-way track, as is usual in North America. Though introducing two-way track makes the formulation appear more complex, I show that somewhat surprisingly, (a) it does not increase the number of constraints or variables, including 0-1 variables, and (b) the model with two-way track should generally be easier to solve.

Suggested Citation

  • Carey, Malachy, 1994. "Extending a train pathing model from one-way to two-way track," Transportation Research Part B: Methodological, Elsevier, vol. 28(5), pages 395-400, October.
    • Handle: RePEc:eee:transb:v:28:y:1994:i:5:p:395-400
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    Cited by:

    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. Carey, Malachy & Crawford, Ivan, 2007. "Scheduling trains on a network of busy complex stations," Transportation Research Part B: Methodological, Elsevier, vol. 41(2), pages 159-178, February.
    4. 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.
    5. Min, Yun-Hong & Park, Myoung-Ju & Hong, Sung-Pil & Hong, Soon-Heum, 2011. "An appraisal of a column-generation-based algorithm for centralized train-conflict resolution on a metropolitan railway network," Transportation Research Part B: Methodological, Elsevier, vol. 45(2), pages 409-429, February.
    6. Li, Feng & Gao, Ziyou & Li, Keping & Yang, Lixing, 2008. "Efficient scheduling of railway traffic based on global information of train," Transportation Research Part B: Methodological, Elsevier, vol. 42(10), pages 1008-1030, December.
    7. 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.
    8. Meng, Lingyun & Zhou, Xuesong, 2014. "Simultaneous train rerouting and rescheduling on an N-track network: A model reformulation with network-based cumulative flow variables," Transportation Research Part B: Methodological, Elsevier, vol. 67(C), pages 208-234.
    9. Carey, Malachy & Carville, Sinead, 2003. "Scheduling and platforming trains at busy complex stations," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(3), pages 195-224, March.
    10. Zhou, Xuesong & Zhong, Ming, 2007. "Single-track train timetabling with guaranteed optimality: Branch-and-bound algorithms with enhanced lower bounds," Transportation Research Part B: Methodological, Elsevier, vol. 41(3), pages 320-341, March.
    11. Li, Feng & Gao, Ziyou & Wang, David Z.W. & Liu, Ronghui & Tang, Tao & Wu, Jianjun & Yang, Lixing, 2017. "A subjective capacity evaluation model for single-track railway system with δ-balanced traffic and λ-tolerance level," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 43-66.
    12. Meng, Lingyun & Zhou, Xuesong, 2011. "Robust single-track train dispatching model under a dynamic and stochastic environment: A scenario-based rolling horizon solution approach," Transportation Research Part B: Methodological, Elsevier, vol. 45(7), pages 1080-1102, August.
    13. Talebian, Ahmadreza & Zou, Bo, 2015. "Integrated modeling of high performance passenger and freight train planning on shared-use corridors in the US," Transportation Research Part B: Methodological, Elsevier, vol. 82(C), pages 114-140.
    14. Li, Feng & Sheu, Jiuh-Biing & Gao, Zi-You, 2014. "Deadlock analysis, prevention and train optimal travel mechanism in single-track railway system," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 385-414.
    15. Mu, Shi & Dessouky, Maged, 2011. "Scheduling freight trains traveling on complex networks," Transportation Research Part B: Methodological, Elsevier, vol. 45(7), pages 1103-1123, August.

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