Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content

Routing of Railway Carriages

  • Published:
Journal of Global Optimization Aims and scope Submit manuscript

Abstract

In the context of organizing timetables for railway companies the following railway carriage routing problem occurs. Given a timetable containing rail links with departure and destination times/stations and the composition of the trains, find a routing of railway carriages such that the required carriages are always available when a train departs. The problem is formulated as an integer multi-commodity network flow problem with nonlinear objective function. We will present a local search approach for this NP-hard problem. The approach uses structural properties of the integer multi-commodity network flow formulation of the problem. Computational results for a real world instance are given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Ahuja, R.K., Magnanti, T.L. and Orlin, J.B. (1993), Network flows; theory, algorithms, and applications, Prentice Hall, New Jersey.

    Google Scholar 

  • Arlt, Ch. (1994), Die Lösung großer Fixkosten-Netzwerkflußprobleme, Gabler Verlag, Wiesbaden.

    Google Scholar 

  • Barnhart, C., Hane, C.A. and Vance, P.H. (1996) Integer multicommodity flow problems, Working paper, Massachusetts Institute of Technology, Center for Transportation Studies.

  • Chvatal, V. Linear Programming, W.H. Freeman and Company, New York/San Francisco.

  • Crainic, T.G. (2000), Service network design in freight transportation, European Journal of Operational Research 122, 272-288.

    Google Scholar 

  • Crainic, T.G. and Gendreau, M. (2000), A simplex-based tabu search method for capacitated network design, INFORMS Journal of Computing 12(3), 223-236.

    Google Scholar 

  • Dowsland, K.A. (1993) Simulated annealing, in: Modern Heuristic Techniques for Combinatorial Problems, edited by C. Reeves, Blackwell Scientific Publications, London, 20-69.

    Google Scholar 

  • Garcia, B.L., Mahei, P. and LeBlanc, L.J. (1998) Iterative improvement methods for a multiperiod network design problem, European Journal of Operational Research 110, 150-165.

    Google Scholar 

  • van Laarhoven, P.J.M. and Aarts, E.H.L. (1987), Simulated annealing: theory and applications, D. Reidel Publishing Company, Dordrecht, Holland.

    Google Scholar 

  • Marin, A. and Sameròn, J. (1996), Tactical design of rail freight networks. Part I: exact and heuristic methods, European Journal of Operational Research 90, 26-44.

    Google Scholar 

  • Radtke, A. (1995), Dispositionsmodell für den optimierten Betriebsmitteleinsatz der Eisenbahn, Wissenschaftliche Arbeiten Nr. 43, Fachbereich Bauingenieur-und Vermessungswesen; Institut für Verkehrswesen, Eisenbahnbau und Betrieb, Universität Hannover.

  • Rolfes, T. (1998), Ein lokales Suchverfahren für die Fahrzeugeinsatzplanung im Schienenpersonenverkehr, Diplomarbeit, Fachbereich Mathematik/Informatik, Universität Osnabrück.

  • Schrijver, A. (1993), Minimum circulation of railway stock, CWI Quarterly 6(3), 205-217.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brucker, P., Hurink, J. & Rolfes, T. Routing of Railway Carriages. Journal of Global Optimization 27, 313–332 (2003). https://doi.org/10.1023/A:1024843208074

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1024843208074