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Solving Railway Track Allocation Problems

In: Operations Research Proceedings 2007

Author

Listed:
  • Ralf Borndörfer

    (Konrad-Zuse-Zentrum für Informationstechnik Berlin)

  • Thomas Schlechte

    (Konrad-Zuse-Zentrum für Informationstechnik Berlin)

Abstract

The optimal track allocation problem (OPTRA), also known as the train routing problem or the train timetabling problem, is to find, in a given railway network, a conflict-free set of train routes of maximum value. We propose a novel integer programming formulation for this problem that is based on additional ‘configuration’ variables. Its LP-relaxation can be solved in polynomial time. These results are the theoretical basis for a column generation algorithm to solve large-scale track allocation problems. Computational results for the Hanover-Kassel-Fulda area of the German long distance railway network involving up to 570 trains are reported.

Suggested Citation

  • Ralf Borndörfer & Thomas Schlechte, 2008. "Solving Railway Track Allocation Problems," Operations Research Proceedings, in: Jörg Kalcsics & Stefan Nickel (ed.), Operations Research Proceedings 2007, pages 117-122, Springer.
    • Handle: RePEc:spr:oprchp:978-3-540-77903-2_18
    DOI: 10.1007/978-3-540-77903-2_18
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    Cited by:

    1. 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.
    2. 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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