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Deadlock analysis, prevention and train optimal travel mechanism in single-track railway system

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  • Li, Feng
  • Sheu, Jiuh-Biing
  • Gao, Zi-You

Abstract

In this paper, train scheduling problem (TSCP) is discussed for the case of single-track railway corridor, in which variable sensitivity on train delay are discussed in detailed for different types of trains. The mathematical model is a complicated nonlinear mixed-integer programming. The object of the model reflects sensitivity of trains with different types or travelling mileages on delay. A heuristic method based on the global conflicts distribution prediction (CDP) is presented. In the CDP, two critical problems restricting the development of simulation method, i.e., train deadlock and near-optimal travel strategy of train, are effectively solved. Numerical experiments show that the CDP can obtain a solution close enough to the optimal solution within a very short computational time. Variable cost weight with trapezoid-shape structure is investigated. Compared with constant weight, the schedule plan has more rational structure when variable cost weight is adopted.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:transb:v:68:y:2014:i:c:p:385-414
    DOI: 10.1016/j.trb.2014.06.014
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    1. U. Brännlund & P. O. Lindberg & A. Nõu & J.-E. Nilsson, 1998. "Railway Timetabling Using Lagrangian Relaxation," Transportation Science, INFORMS, vol. 32(4), pages 358-369, November.
    2. 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.
    3. Alberto Caprara & Matteo Fischetti & Paolo Toth, 2002. "Modeling and Solving the Train Timetabling Problem," Operations Research, INFORMS, vol. 50(5), pages 851-861, October.
    4. 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.
    5. Leo G. Kroon & Leon W. P. Peeters, 2003. "A Variable Trip Time Model for Cyclic Railway Timetabling," Transportation Science, INFORMS, vol. 37(2), pages 198-212, May.
    6. Carey, Malachy, 1994. "A model and strategy for train pathing with choice of lines, platforms, and routes," Transportation Research Part B: Methodological, Elsevier, vol. 28(5), pages 333-353, October.
    7. Kraay, David R. & Harker, Patrick T., 1995. "Real-time scheduling of freight railroads," Transportation Research Part B: Methodological, Elsevier, vol. 29(3), pages 213-229, June.
    8. Dorfman, M. J. & Medanic, J., 2004. "Scheduling trains on a railway network using a discrete event model of railway traffic," Transportation Research Part B: Methodological, Elsevier, vol. 38(1), pages 81-98, January.
    9. Dejan Jovanović & Patrick T. Harker, 1991. "Tactical Scheduling of Rail Operations: The SCAN I System," Transportation Science, INFORMS, vol. 25(1), pages 46-64, February.
    10. 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.
    11. 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.
    12. 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.
    13. Higgins, A. & Kozan, E. & Ferreira, L., 1996. "Optimal scheduling of trains on a single line track," Transportation Research Part B: Methodological, Elsevier, vol. 30(2), pages 147-161, April.
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    Cited by:

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    3. 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.

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