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Column generation with dynamic duty selection for railway crew rescheduling

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  • Potthoff, D.
  • Huisman, D.
  • Desaulniers, G.

Abstract

The Dutch railway network experiences about three large disruptions per day on average. In this paper, we present an algorithm to reschedule the crews when such a disruption occurs. The algorithm is based on column generation techniques combined with Lagrangian heuristics. Since the number of duties is very large in practical instances, we first define a core problem of tractable size. If some tasks remain uncovered in the solution of the core problem, we perform a neighborhood exploration to improve the solution. Computational experiments with real-life instances show that our method is capable of producing good solutions within a couple of minutes of Computation time.

Suggested Citation

  • 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.
  • Handle: RePEc:ems:eureir:14423
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    References listed on IDEAS

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    8. 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.
    9. Kaj Holmberg & Di Yuan, 2000. "A Lagrangian Heuristic Based Branch-and-Bound Approach for the Capacitated Network Design Problem," Operations Research, INFORMS, vol. 48(3), pages 461-481, June.
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    11. 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.
    12. Huisman, Dennis, 2007. "A column generation approach for the rail crew re-scheduling problem," European Journal of Operational Research, Elsevier, vol. 180(1), pages 163-173, July.
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    Cited by:

    1. Veelenturf, L.P. & Potthoff, D. & Huisman, D. & Kroon, L.G. & Maróti, G. & Wagelmans, A.P.M., 2013. "A Quasi-Robust Optimization Approach for Resource Rescheduling," Econometric Institute Research Papers 50110, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    2. Leo Kroon & Gábor Maróti & Lars Nielsen, 2015. "Rescheduling of Railway Rolling Stock with Dynamic Passenger Flows," Transportation Science, INFORMS, vol. 49(2), pages 165-184, May.
    3. Bach, L. & Dollevoet, T.A.B. & Huisman, D., 2014. "Integrating Timetabling and Crew," Econometric Institute Research Papers EI 2014-03, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    4. Dollevoet, T.A.B. & Huisman, D. & Kroon, L.G. & Veelenturf, L.P. & Wagenaar, J.C., 2015. "An Iterative Framework for Real-time Railway Rescheduling," Econometric Institute Research Papers EI2015-28, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    5. Jonas Ingels & Broos Maenhout, 2017. "Employee substitutability as a tool to improve the robustness in personnel scheduling," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(3), pages 623-658, July.
    6. Kroon, L.G. & Huisman, D., 2011. "Algorithmic Support for Disruption Management at Netherlands Railways," Econometric Institute Research Papers EI 2011-06, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    7. Lukas Bach & Twan Dollevoet & Dennis Huisman, 2016. "Integrating Timetabling and Crew Scheduling at a Freight Railway Operator," Transportation Science, INFORMS, vol. 50(3), pages 878-891, August.
    8. Ingels, Jonas & Maenhout, Broos, 2019. "Optimised buffer allocation to construct stable personnel shift rosters," Omega, Elsevier, vol. 82(C), pages 102-117.
    9. Louwerse, Ilse & Huisman, Dennis, 2014. "Adjusting a railway timetable in case of partial or complete blockades," European Journal of Operational Research, Elsevier, vol. 235(3), pages 583-593.
    10. Nielsen, Lars Kjær & Kroon, Leo & Maróti, Gábor, 2012. "A rolling horizon approach for disruption management of railway rolling stock," European Journal of Operational Research, Elsevier, vol. 220(2), pages 496-509.
    11. Veelenturf, L.P. & Potthoff, D. & Huisman, D. & Kroon, L.G., 2009. "Railway Crew Rescheduling with Retiming," Econometric Institute Research Papers EI 2009-24, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    12. van Lieshout, R.N. & Mulder, J. & Huisman, D., 2016. "The Vehicle Rescheduling Problem with Retiming," Econometric Institute Research Papers EI2016-37, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    13. Lusby, Richard M. & Haahr, Jørgen Thorlund & Larsen, Jesper & Pisinger, David, 2017. "A Branch-and-Price algorithm for railway rolling stock rescheduling," Transportation Research Part B: Methodological, Elsevier, vol. 99(C), pages 228-250.
    14. Kroon, L.G. & Huisman, D., 2009. "Algorithmic Support for Railway Disruption Management," Econometric Institute Research Papers EI 2009-50, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    15. 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.
    16. Maenhout, Broos & Vanhoucke, Mario, 2018. "A perturbation matheuristic for the integrated personnel shift and task re-scheduling problem," European Journal of Operational Research, Elsevier, vol. 269(3), pages 806-823.
    17. Dekker, M.M. & van Lieshout, R.N. & Ball, R.C. & Bouman, P.C. & Dekker, S.C. & Dijkstra, H.A. & Goverde, R.M.P. & Huisman, D. & Panja, D. & Schaafsma, A.M. & van den Akker, M., 2018. "A Next Step in Disruption Management: Combining Operations Research and Complexity Science," Econometric Institute Research Papers EI2018-25, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    18. Evelien van der Hurk & Haris N. Koutsopoulos & Nigel Wilson & Leo G. Kroon & Gábor Maróti, 2016. "Shuttle Planning for Link Closures in Urban Public Transport Networks," Transportation Science, INFORMS, vol. 50(3), pages 947-965, August.
    19. Breugem, T. & Dollevoet, T.A.B. & Huisman, D., 2017. "Is Equality always desirable?," Econometric Institute Research Papers EI2017-30, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.

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