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Optimization of Rolling Stock Rotations

In: Handbook of Optimization in the Railway Industry

Author

Listed:
  • Markus Reuther

    (LBW Optimization GmbH & Zuse Institute Berlin)

  • Thomas Schlechte

    (LBW Optimization GmbH & Zuse Institute Berlin)

Abstract

This chapter shows a successful approach how to model and optimize rolling stock rotations that are required for the operation of a passenger timetable. The underlying mathematical optimization problem is described in detail and solved by Rotation Optimizer for Railways (ROTOR), i.e., a complex optimization algorithm based on linear programming and combinatorial methods. ROTOR is used by DB Fernverkehr AG (DBF) in order to optimize intercity express (ICE) rotations for the European high-speed network. We focus on main modeling and solving components, i.e. a hypergraph model and a coarse-to-fine column generation approach. Finally, the chapter concludes with a complex industrial re-optimization application showing the effectiveness of the approach for real world challenges.

Suggested Citation

  • Markus Reuther & Thomas Schlechte, 2018. "Optimization of Rolling Stock Rotations," International Series in Operations Research & Management Science, in: Ralf Borndörfer & Torsten Klug & Leonardo Lamorgese & Carlo Mannino & Markus Reuther & Thomas Schlec (ed.), Handbook of Optimization in the Railway Industry, chapter 0, pages 213-241, Springer.
  • Handle: RePEc:spr:isochp:978-3-319-72153-8_10
    DOI: 10.1007/978-3-319-72153-8_10
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    Cited by:

    1. Scheffler, Martin & Neufeld, Janis S. & Hölscher, Michael, 2020. "An MIP-based heuristic solution approach for the locomotive assignment problem focussing on (dis-)connecting processes," Transportation Research Part B: Methodological, Elsevier, vol. 139(C), pages 64-80.
    2. Valentina Cacchiani & Alberto Caprara & Paolo Toth, 2019. "An Effective Peak Period Heuristic for Railway Rolling Stock Planning," Transportation Science, INFORMS, vol. 53(3), pages 746-762, May.

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