Structure-Based Decomposition for Pattern-Detection for Railway Timetables

  • Stanley Schade
  • Thomas Schlechte
  • Jakob Witzig
Conference paper
Part of the Operations Research Proceedings book series (ORP)


We consider the problem of pattern detection in large scale railway timetables. This problem arises in rolling stock optimization planning in order to identify invariant sections of the timetable for which a cyclic rotation plan is adequate. We propose a dual reduction technique which leads to an decomposition and enumeration method. Computational results for real world instances demonstrate that the method is able to produce optimal solutions as fast as standard MIP solvers.



The work for this article has been conducted within the Research Campus Modal funded by the German Federal Ministry of Education and Research (fund number 05M14ZAM).


  1. 1.
    Borndörfer, R., Reuther, M., Schlechte, T., Waas, K., & Weider, S. (2016). Integrated optimization of rolling stock rotations for intercity railways. Transportation Science, 50(3), 863–877.CrossRefGoogle Scholar
  2. 2.
    Maher, S., Miltenberger, M., Pedroso, J. P., Rehfeldt, D., Schwarz, R., Serrano, F. (2016). PySCIPOpt: Mathematical programming in python with the SCIP optimization suite. In: Mathematical Software ICMS 2016 (Vol. 9725, pp. 301–307)CrossRefGoogle Scholar
  3. 3.
    Maher, S.J., Fischer, T., Gally, T., Gamrath, G., Gleixner, A., Gottwald, R.L., & et al. (2017). The SCIP Optimization Suite 4.0. Tech. Rep. 17–12, ZIB, Takustr. 7, 14195 BerlinGoogle Scholar
  4. 4.
    Schade, S., Borndörfer, R., Breuer, M., Grimm, B., Reuther, M., Schlechte, T., et al. (2017). Pattern detection for large-scale railway timetables. In Proceedings of the IAROR conference RailLilleGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Stanley Schade
    • 1
  • Thomas Schlechte
    • 2
  • Jakob Witzig
    • 3
  1. 1.Zuse Institute Berlin, Mathematics of Transportation and LogisticsBerlinGermany
  2. 2.LBW Optimization GmbHBerlinGermany
  3. 3.Zuse Institute Berlin, Mathematical Optimization MethodsBerlinGermany

Personalised recommendations