Time-optimal train traffic in large networks based on a new model

Y. Bavafa-Toosi, C. Blendinger, V. Mehrmann, H. Ohmori, A. Steinbrecher, R. Unger

Research output: Contribution to journalConference articlepeer-review


From a system-theoretic standpoint, a constrained state-space model for train traffic in a railway network is developed. It is based on transforming the directed graph of the network to some parallel lists. All the aspects of a real network (such as that of the German Rail) are completely captured by this model. It is generic and can be used to establish an operating system for other large railway networks. By way of this model, some degrees of freedom as well as some robustness can be injected into the operation of the system. The problem of time-optimal train traffic in large networks is then defined and solved. The solution is obtained by reducing the boundary value problem arising from the time-optimality criterion to an initial value problem for an ordinary differential equation (ODE) whereby all the static switching points are computed offline.

Original languageEnglish
Pages (from-to)689-694
Number of pages6
JournalIFAC Proceedings Volumes (IFAC-PapersOnline)
Issue number11
Publication statusPublished - 2004
Event10th IFAC/IFORS/IMACS/IFIP Symposium on Large Scale Systems: Theory and Applications, LSS 2004 - Osaka, Japan
Duration: 2004 Jul 262004 Jul 28


  • Boundary value problem
  • Initial value problem
  • Large networks
  • Time optimality
  • Train traffic

ASJC Scopus subject areas

  • Control and Systems Engineering


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