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Over-the-Road Transit Time for a Single Track Railway

Author

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  • E. R. Petersen

    (Queen's University, Kingston, Canada)

Abstract

This paper develops an analytic model of the mean running time for trains on a single track railway. Trains operating at several different speeds in each direction are permitted. Priority systems are included in the model to control train behavior when meets and overtakes occur and delay times due to implementing these priority schemes are calculated. It is assumed that the departing times for trains are independent random variables that are uniformly distributed over the time period of interest. The resulting mean running times, including delays, for each speed class in each direction are found by solving a set of linear equations.

Suggested Citation

  • E. R. Petersen, 1974. "Over-the-Road Transit Time for a Single Track Railway," Transportation Science, INFORMS, vol. 8(1), pages 65-74, February.
    • Handle: RePEc:inm:ortrsc:v:8:y:1974:i:1:p:65-74
    DOI: 10.1287/trsc.8.1.65
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    Citations

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    Cited by:

    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.
    2. Burdett, R.L. & Kozan, E., 2006. "Techniques for absolute capacity determination in railways," Transportation Research Part B: Methodological, Elsevier, vol. 40(8), pages 616-632, September.
    3. 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.
    4. Zdenka Bulková & Jozef Gašparík & Jaroslav Mašek & Vladislav Zitrický, 2022. "Analytical Procedures for the Evaluation of Infrastructural Measures for Increasing the Capacity of Railway Lines," Sustainability, MDPI, vol. 14(21), pages 1-28, November.
    5. Leachman, Robert C. & Jula, Payman, 2012. "Estimating flow times for containerized imports from Asia to the United States through the Western rail network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(1), pages 296-309.
    6. Zhang, Jiamin, 2015. "Analysis on line capacity usage for China high speed railway with optimization approach," Transportation Research Part A: Policy and Practice, Elsevier, vol. 77(C), pages 336-349.
    7. Jonas Harbering & Abhiram Ranade & Marie Schmidt & Oliver Sinnen, 2019. "Complexity, bounds and dynamic programming algorithms for single track train scheduling," Annals of Operations Research, Springer, vol. 273(1), pages 479-500, February.
    8. Krüger, Niclas A. & Vierth , Inge & Fakhraei Roudsari, Farzad, 2013. "Spatial, temporal and size distribution of freight train delays: evidence from Sweden," Working papers in Transport Economics 2013:8, CTS - Centre for Transport Studies Stockholm (KTH and VTI).
    9. S. Rao & E. R. Petersen, 1998. "Optimal Pricing of Priority Services," Operations Research, INFORMS, vol. 46(1), pages 46-56, February.
    10. Shi Qiang Liu & Erhan Kozan, 2011. "Scheduling Trains with Priorities: A No-Wait Blocking Parallel-Machine Job-Shop Scheduling Model," Transportation Science, INFORMS, vol. 45(2), pages 175-198, May.

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