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A Quasi-Robust Optimization Approach for Crew Rescheduling

Author

Listed:
  • Lucas P. Veelenturf

    (Rotterdam School of Management and ECOPT, Erasmus University Rotterdam, 3000 DR Rotterdam, Netherlands)

  • Daniel Potthoff

    (Ab Ovo Germany, Düsseldorf, 40549 Germany)

  • Dennis Huisman

    (Econometric Institute and ECOPT, Erasmus University Rotterdam, 3000 DR Rotterdam, Netherlands; and Process Quality and Innovation, Netherlands Railways, 3500 HA Utrecht, Netherlands)

  • Leo G. Kroon

    (Rotterdam School of Management and ECOPT, Erasmus University Rotterdam, 3000 DR Rotterdam, Netherlands; and Process Quality and Innovation, Netherlands Railways, 3500 HA Utrecht, Netherlands)

  • Gábor Maróti

    (VU University Amsterdam, 1081 HV Amsterdam, Netherlands; and Process Quality and Innovation, Netherlands Railways, 3500 HA Utrecht, Netherlands)

  • Albert P. M. Wagelmans

    (Econometric Institute and ECOPT, Erasmus University Rotterdam, 3000 DR Rotterdam, Netherlands)

Abstract

This paper studies the real-time crew rescheduling problem in case of large-scale disruptions. One of the greatest challenges of real-time disruption management is the unknown duration of the disruption. In this paper we present a novel approach for crew rescheduling where we deal with this uncertainty by considering several scenarios for the duration of the disruption.The rescheduling problem is similar to a two-stage optimization problem. In the first stage, at the start of the disruption, we reschedule the plan based on the optimistic scenario (i.e., assuming the shortest possible duration of the disruption), while taking into account the possibility that another scenario will be realized. We require a prescribed number of the rescheduled crew duties (a sequential list of tasks which have to be performed by a single crew member) to be recoverable . The true duration of the disruption is revealed in the second stage. By the recoverability of the duties, we expect that the first stage solution can easily be turned into a schedule that is feasible for the realized scenario.We demonstrate the effectiveness of our approach by an application in real-time railway crew rescheduling. The ideas of this paper generalize to certain vehicle rescheduling and manufacturing problems where timetabled tasks which have a fixed start and end location are to be carried out by a given number of servers.We test our approach on a number of instances of Netherlands Railways (NS), the main operator of passenger trains in the Netherlands. The numerical experiments show that the approach indeed finds schedules which are easier to adjust if it turns out that another scenario than the optimistic one is realized for the duration of the disruption.

Suggested Citation

  • Lucas P. Veelenturf & Daniel Potthoff & Dennis Huisman & Leo G. Kroon & Gábor Maróti & Albert P. M. Wagelmans, 2016. "A Quasi-Robust Optimization Approach for Crew Rescheduling," Transportation Science, INFORMS, vol. 50(1), pages 204-215, February.
    • Handle: RePEc:inm:ortrsc:v:50:y:2016:i:1:p:204-215
    DOI: 10.1287/trsc.2014.0545
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    References listed on IDEAS

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    1. Jespersen-Groth, J. & Potthoff, D. & Clausen, J. & Huisman, D. & Kroon, L.G. & Maróti, G. & Nielsen, M.N., 2007. "Disruption management in passenger railway transportation," Econometric Institute Research Papers EI 2007-05, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    2. Huisman, D. & Jans, R.F. & Peeters, M. & Wagelmans, A.P.M., 2003. "Combining Column Generation and Lagrangian Relaxation," ERIM Report Series Research in Management ERS-2003-092-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    3. Valentina Cacchiani & Alberto Caprara & Laura Galli & Leo Kroon & Gábor Maróti & Paolo Toth, 2012. "Railway Rolling Stock Planning: Robustness Against Large Disruptions," Transportation Science, INFORMS, vol. 46(2), pages 217-232, May.
    4. Daniel Potthoff & Dennis Huisman & Guy Desaulniers, 2010. "Column Generation with Dynamic Duty Selection for Railway Crew Rescheduling," Transportation Science, INFORMS, vol. 44(4), pages 493-505, November.
    5. Leo Kroon & Dennis Huisman & Erwin Abbink & Pieter-Jan Fioole & Matteo Fischetti & Gábor Maróti & Alexander Schrijver & Adri Steenbeek & Roelof Ybema, 2009. "The New Dutch Timetable: The OR Revolution," Interfaces, INFORMS, vol. 39(1), pages 6-17, February.
    6. Potthoff, D. & Huisman, D. & Desaulniers, G., 2008. "Column generation with dynamic duty selection for railway crew rescheduling," Econometric Institute Research Papers EI 2008-28, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    7. Cacchiani, Valentina & Toth, Paolo, 2012. "Nominal and robust train timetabling problems," European Journal of Operational Research, Elsevier, vol. 219(3), pages 727-737.
    8. Dennis Huisman & Raf Jans & Marc Peeters & Albert P.M. Wagelmans, 2005. "Combining Column Generation and Lagrangian Relaxation," Springer Books, in: Guy Desaulniers & Jacques Desrosiers & Marius M. Solomon (ed.), Column Generation, chapter 0, pages 247-270, Springer.
    9. Alberto Caprara & Matteo Fischetti & Paolo Toth, 1999. "A Heuristic Method for the Set Covering Problem," Operations Research, INFORMS, vol. 47(5), pages 730-743, October.
    10. Kroon, L.G. & Huisman, D. & Abbink, E.J.W. & Fioole, P-J. & Fischetti, M. & Maróti, G. & Schrijver, A. & Steenbeek, A. & Ybema, R., 2008. "The new Dutch timetable: The OR revolution," Econometric Institute Research Papers EI 2008-19, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    11. Erwin Abbink & Matteo Fischetti & Leo Kroon & Gerrit Timmer & Michiel Vromans, 2005. "Reinventing Crew Scheduling at Netherlands Railways," Interfaces, INFORMS, vol. 35(5), pages 393-401, October.
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    1. Thijs Verhaegh & Dennis Huisman & Pieter-Jan Fioole & Juan C. Vera, 2017. "A heuristic for real-time crew rescheduling during small disruptions," Public Transport, Springer, vol. 9(1), pages 325-342, July.
    2. Evelien van der Hurk & Leo Kroon & Gábor Maróti, 2018. "Passenger Advice and Rolling Stock Rescheduling Under Uncertainty for Disruption Management," Service Science, INFORMS, vol. 52(6), pages 1391-1411, December.
    3. Heil, Julia & Hoffmann, Kirsten & Buscher, Udo, 2020. "Railway crew scheduling: Models, methods and applications," European Journal of Operational Research, Elsevier, vol. 283(2), pages 405-425.
    4. Bastian Amberg & Boris Amberg & Natalia Kliewer, 2019. "Robust Efficiency in Urban Public Transportation: Minimizing Delay Propagation in Cost-Efficient Bus and Driver Schedules," Service Science, INFORMS, vol. 53(1), pages 89-112, February.

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    Keywords

    robustness; rescheduling; crew;
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