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An adjustable robust optimization approach for periodic timetabling

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  • Polinder, Gert-Jaap
  • Breugem, Thomas
  • Dollevoet, Twan
  • Maróti, Gábor

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.

Suggested Citation

  • Polinder, Gert-Jaap & Breugem, Thomas & Dollevoet, Twan & Maróti, Gábor, 2019. "An adjustable robust optimization approach for periodic timetabling," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 50-68.
    • Handle: RePEc:eee:transb:v:128:y:2019:i:c:p:50-68
    DOI: 10.1016/j.trb.2019.07.011
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    Cited by:

    1. van Lieshout, R.N., 2019. "Integrated Periodic Timetabling and Vehicle Circulation Scheduling," Econometric Institute Research Papers EI2019-27, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    2. Shi, Ruifeng & Li, Shaopeng & Zhang, Penghui & Lee, Kwang Y., 2020. "Integration of renewable energy sources and electric vehicles in V2G network with adjustable robust optimization," Renewable Energy, Elsevier, vol. 153(C), pages 1067-1080.
    3. Julius Pätzold, 2021. "Finding robust periodic timetables by integrating delay management," Public Transport, Springer, vol. 13(2), pages 349-374, June.
    4. Rolf N. Van Lieshout, 2021. "Integrated Periodic Timetabling and Vehicle Circulation Scheduling," Transportation Science, INFORMS, vol. 55(3), pages 768-790, May.
    5. Jozef Gasparik & Milan Dedik & Lukas Cechovic & Peter Blaho, 2020. "Estimation of Transport Potential in Regional Rail Passenger Transport by Using the Innovative Mathematical-Statistical Gravity Approach," Sustainability, MDPI, vol. 12(9), pages 1-13, May.

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