Journal article
A Branch-and-Price algorithm for railway rolling stock rescheduling
Department of Management Engineering, Technical University of Denmark1
Management Science, Department of Management Engineering, Technical University of Denmark2
Operations Research, Management Science, Department of Management Engineering, Technical University of Denmark3
Transport DTU, Department of Management Engineering, Technical University of Denmark4
Optivation ApS5
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.
Language: | English |
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Year: | 2017 |
Pages: | 228-250 |
ISSN: | 18792367 and 01912615 |
Types: | Journal article |
DOI: | 10.1016/j.trb.2017.03.003 |
ORCIDs: | Lusby, Richard Martin , Larsen, Jesper and Pisinger, David |