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A Structured Model for Rail Line Simulation and Optimization

Author

Listed:
  • E. R. Petersen

    (Queen's University, Kingston, Ontario)

  • A. J. Taylor

    (Queen's University, Kingston, Ontario)

Abstract

A general purpose model of a railway line is presented. This model is based on an algebraic structure which describes the movement of trains over the line. This structure permits an arbitrary number of different trains with differing speeds and priorities to be dispatched over any line configuration including single or multiple tracks and sidings with restricted switching or cross-overs. Both optimization procedures and simulation models of the line can be implemented using this framework. The problem of line blockage at high traffic intensities is discussed, and conditions are given to ensure this does not occur. Computationally simple feasibility tests are presented together with a behaviorally based dispatching model. The model is implemented as a general purpose discrete event simulation model in which different dispatch goals or criteria can easily be included. Details of a validation example involving very high traffic intensity over a typical Canadian rail line are presented.

Suggested Citation

  • E. R. Petersen & A. J. Taylor, 1982. "A Structured Model for Rail Line Simulation and Optimization," Transportation Science, INFORMS, vol. 16(2), pages 192-206, May.
    • Handle: RePEc:inm:ortrsc:v:16:y:1982:i:2:p:192-206
    DOI: 10.1287/trsc.16.2.192
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    Cited by:

    1. Mussone, Lorenzo & Wolfler Calvo, Roberto, 2013. "An analytical approach to calculate the capacity of a railway system," European Journal of Operational Research, Elsevier, vol. 228(1), pages 11-23.
    2. 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.
    3. Ghoseiri, Keivan & Szidarovszky, Ferenc & Asgharpour, Mohammad Jawad, 2004. "A multi-objective train scheduling model and solution," Transportation Research Part B: Methodological, Elsevier, vol. 38(10), pages 927-952, December.
    4. Ortega Riejos, Francisco A. & Barrena, Eva & Canca Ortiz, J. David & Laporte, Gilbert, 2016. "Analyzing the theoretical capacity of railway networks with a radial-backbone topology," Transportation Research Part A: Policy and Practice, Elsevier, vol. 84(C), pages 83-92.
    5. Kroon, Leo & Maróti, Gábor & Helmrich, Mathijn Retel & Vromans, Michiel & Dekker, Rommert, 2008. "Stochastic improvement of cyclic railway timetables," Transportation Research Part B: Methodological, Elsevier, vol. 42(6), pages 553-570, July.
    6. Adenso-Díaz, B. & Oliva González, M. & González-Torre, P., 1999. "On-line timetable re-scheduling in regional train services," Transportation Research Part B: Methodological, Elsevier, vol. 33(6), pages 387-398, August.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Kroon, L.G. & Dekker, R. & Vromans, M.J.C.M., 2005. "Cyclic Railway Timetabling: a Stochastic Optimization Approach," ERIM Report Series Research in Management ERS-2005-051-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    12. Sahin, Ismail, 1999. "Railway traffic control and train scheduling based oninter-train conflict management," Transportation Research Part B: Methodological, Elsevier, vol. 33(7), pages 511-534, September.
    13. Enrique Castillo & Inmaculada Gallego & José Ureña & José Coronado, 2009. "Timetabling optimization of a single railway track line with sensitivity analysis," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(2), pages 256-287, December.
    14. A. de Palma & C. Fontan & O. Mekkaoui, 2000. "Trip Timing for Public Transportation : An Empirical Application," THEMA Working Papers 2000-19, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.

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