A Branch-and-Price algorithm for railway rolling stock rescheduling

    Research output: Contribution to journalJournal articleResearchpeer-review

    442 Downloads (Pure)


    How to best reschedule their fleet of rolling stock units during a disruption is an optimization problem regularly faced by railway operators. Despite the problem’s high complexity, it is still usually solved manually. In this paper we propose a path based mathematical formulation and solve it using a Branch-and-Price algorithm. We demonstrate that, unlike flow based approaches, our formulation is more easily extended to handle certain families of constraints, such as train unit maintenance restrictions. The proposed algorithm is benchmarked on several real-life instances provided by the suburban railway operator in Copenhagen, DSB S-tog. When used in combination with a lower bound method taken from the literature we show that near-optimal solutions to this rescheduling problem can be found within a few seconds. Furthermore, we show that the proposed methodology can be used, with minor modification, on a tactical planning level, where it produces near-optimal rolling stock schedules in minutes of CPU time.
    Original languageEnglish
    JournalTransportation Research. Part B: Methodological
    Pages (from-to)228-250
    Publication statusPublished - 2017


    Dive into the research topics of 'A Branch-and-Price algorithm for railway rolling stock rescheduling'. Together they form a unique fingerprint.

    Cite this