An adjustable robust optimization approach for periodic timetabling
Gert-Jaap Polinder,
Thomas Breugem,
Twan Dollevoet and
Gábor Maróti
Transportation Research Part B: Methodological, 2019, vol. 128, issue C, 50-68
Abstract:
In this paper, we consider the Robust Periodic Timetabling Problem (RPTP), the problem of designing a periodic timetable that can easily be adjusted in case of small periodic disturbances. We develop a solution method for a parametrized class of uncertainty regions. This class relates closely to uncertainty regions known in the robust optimization literature, and naturally defines a metric for the robustness of the timetable. The proposed solution method combines a linear decision rule with well-known reformulation techniques and cutting-plane methods. We show that the RPTP can be solved for practical-sized instances by applying the solution method to practical cases of Netherlands Railways (NS). In particular, we show that the trade-off between the efficiency and robustness of a timetable can be analyzed using our solution method.
Keywords: Robust optimization; Periodic timetabling; Periodic event scheduling; Adjustable robustness (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (5)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:transb:v:128:y:2019:i:c:p:50-68
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DOI: 10.1016/j.trb.2019.07.011
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