A set packing inspired method for real-time junction train routing

Richard Martin Lusby, Jesper Larsen, Matthias Ehrgott, David M. Ryan

    Research output: Contribution to journalJournal articleResearchpeer-review


    Efficiently coordinating the often large number of interdependent, timetabled train movements on a railway junction, while satisfying a number of operational requirements, is one of the most important problems faced by a railway company. The most critical variant of the problem arises on a daily basis at major railway junctions where disruptions to rail traffic make the planned schedule/routing infeasible and rolling stock planners are forced to re-schedule/re-route trains in order to recover feasibility. The dynamic nature of the problem means that good solutions must be obtained quickly. In this paper we describe a set packing inspired formulation of this problem and develop a branch-and-price based solution approach. A real life test instance arising in Germany and supplied by the major German railway company, Deutsche Bahn, indicates the efficiency of the proposed approach by confirming that practical problems can be solved to within a few percent of optimality in reasonable time.
    Original languageEnglish
    JournalComputers & Operations Research
    Issue number3
    Pages (from-to)713-724
    Publication statusPublished - 2013


    • Train routing
    • Disruption management
    • Duality
    • Optimization

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