IDEAS home Printed from https://ideas.repec.org/p/ems/eureir/7149.html
   My bibliography  Save this paper

A column generation approach to solve the crew re-scheduling problem

Author

Listed:
  • Huisman, D.

Abstract

When tracks are out of service for maintenance during a certain period, trains cannot be operated on those tracks. This leads to a modified timetable, and results in infeasible rolling stock and crew schedules. Therefore, these schedules need to be repaired. The topic of this paper is the rescheduling of crew. In this paper, we define the Crew Re-Scheduling Problem (CRSP). Furthermore, we show that it can be formulated as a large-scale set covering problem. The problem is solved with a column generation based algorithm. The performance of the algorithm is tested on real-world instances of NS, the largest passenger railway operator in the Netherlands. Finally, we discuss some benefits of the proposed methodology for the company.

Suggested Citation

  • Huisman, D., 2005. "A column generation approach to solve the crew re-scheduling problem," Econometric Institute Research Papers EI 2005-54, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:7149
    as

    Download full text from publisher

    File URL: https://repub.eur.nl/pub/7149/ei2005-54.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Dennis Huisman & Leo G. Kroon & Ramon M. Lentink & Michiel J. C. M. Vromans, 2005. "Operations Research in passenger railway transportation," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 59(4), pages 467-497, November.
    3. Cynthia Barnhart & Ellis L. Johnson & George L. Nemhauser & Martin W. P. Savelsbergh & Pamela H. Vance, 1998. "Branch-and-Price: Column Generation for Solving Huge Integer Programs," Operations Research, INFORMS, vol. 46(3), pages 316-329, June.
    4. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hartog, A. & Huisman, D. & Abbink, E.J.W. & Kroon, L.G., 2006. "Decision support for crew rostering at NS," Econometric Institute Research Papers EI 2006-04, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    2. 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.
    3. 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.
    4. 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.
    5. Abbink, E.J.W. & Albino, L. & Dollevoet, T.A.B. & Huisman, D. & Roussado, J. & Saldanha, R.L., 2010. "Solving Large Scale Crew Scheduling Problems in Practice," Econometric Institute Research Papers EI 2010-63, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    6. Abbink, E.J.W., 2008. "Solving large scale crew scheduling problems by using iterative partitioning," Econometric Institute Research Papers EI 2008-03, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Fuentes, Manuel & Cadarso, Luis & Marín, Ángel, 2019. "A hybrid model for crew scheduling in rail rapid transit networks," Transportation Research Part B: Methodological, Elsevier, vol. 125(C), pages 248-265.
    2. Abbink, E.J.W., 2008. "Solving large scale crew scheduling problems by using iterative partitioning," Econometric Institute Research Papers EI 2008-03, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    3. 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.
    4. Abbink, E.J.W. & Albino, L. & Dollevoet, T.A.B. & Huisman, D. & Roussado, J. & Saldanha, R.L., 2010. "Solving Large Scale Crew Scheduling Problems in Practice," Econometric Institute Research Papers EI 2010-63, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    5. 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.
    6. Breugem, T. & van Rossum, B.T.C. & Dollevoet, T. & Huisman, D., 2022. "A column generation approach for the integrated crew re-planning problem," Omega, Elsevier, vol. 107(C).
    7. Breugem, T. & Dollevoet, T.A.B. & Huisman, D., 2019. "A Column Generation Approach for the Integrated Crew Re-Planning Problem," Econometric Institute Research Papers EI2019-31, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    8. Thomas Breugem & Twan Dollevoet & Dennis Huisman, 2022. "Is Equality Always Desirable? Analyzing the Trade-Off Between Fairness and Attractiveness in Crew Rostering," Management Science, INFORMS, vol. 68(4), pages 2619-2641, April.
    9. Zhang, Yongxiang & Peng, Qiyuan & Yao, Yu & Zhang, Xin & Zhou, Xuesong, 2019. "Solving cyclic train timetabling problem through model reformulation: Extended time-space network construct and Alternating Direction Method of Multipliers methods," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 344-379.
    10. Masoud Yaghini & Mohammad Karimi & Mohadeseh Rahbar, 2015. "A set covering approach for multi-depot train driver scheduling," Journal of Combinatorial Optimization, Springer, vol. 29(3), pages 636-654, April.
    11. Silke Jütte & Marc Albers & Ulrich W. Thonemann & Knut Haase, 2011. "Optimizing Railway Crew Scheduling at DB Schenker," Interfaces, INFORMS, vol. 41(2), pages 109-122, April.
    12. Lin, Zhiyuan & Kwan, Raymond S.K., 2016. "A branch-and-price approach for solving the train unit scheduling problem," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 97-120.
    13. 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.
    14. Eliashberg, J. & Hegie, Q. & Ho, J. & Huisman, D. & Miller, S.J. & Swami, S. & Weinberg, C.B. & Wierenga, B., 2007. "Demand-Driven Scheduling of Movies in a Multiplex," ERIM Report Series Research in Management ERS-2007-033-MKT, 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.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. Breugem, T. & Dollevoet, T.A.B. & Huisman, D., 2018. "Analyzing a Family of Formulations for Cyclic Crew Rostering," Econometric Institute Research Papers EI2018-35, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    20. Zeger Degraeve & Raf Jans, 2007. "A New Dantzig-Wolfe Reformulation and Branch-and-Price Algorithm for the Capacitated Lot-Sizing Problem with Setup Times," Operations Research, INFORMS, vol. 55(5), pages 909-920, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ems:eureir:7149. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: RePub (email available below). General contact details of provider: https://edirc.repec.org/data/feeurnl.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.