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Divide-and-price: A decomposition algorithm for solving large railway crew scheduling problems


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  • Jütte, Silke
  • Thonemann, Ulrich W.
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    The railway crew scheduling problem consists of generating crew duties to operate trains at minimal cost, while meeting all work regulations and operational requirements. Typically, a railway operation uses tens of thousands of train movements (trips) and requires thousands of crew members to be assigned to these trips. Despite the large size of the problem, crew schedules need to be generated in short time, because large parts of the train schedule are not finalized until few days before operation.

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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 219 (2012)
    Issue (Month): 2 ()
    Pages: 214-223

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    Handle: RePEc:eee:ejores:v:219:y:2012:i:2:p:214-223

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    Keywords: Large scale optimization; Crew scheduling; Combinatorial optimization; Pricing; Parallel computing;


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    1. Saddoune, Mohammed & Desaulniers, Guy & Elhallaoui, Issmail & Soumis, François, 2011. "Integrated airline crew scheduling: A bi-dynamic constraint aggregation method using neighborhoods," European Journal of Operational Research, Elsevier, vol. 212(3), pages 445-454, August.
    2. Huisman, Dennis & Wagelmans, Albert P.M., 2006. "A solution approach for dynamic vehicle and crew scheduling," European Journal of Operational Research, Elsevier, vol. 172(2), pages 453-471, July.
    3. Lan, Guanghui & DePuy, Gail W. & Whitehouse, Gary E., 2007. "An effective and simple heuristic for the set covering problem," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1387-1403, February.
    4. Ernst, A. T. & Jiang, H. & Krishnamoorthy, M. & Sier, D., 2004. "Staff scheduling and rostering: A review of applications, methods and models," European Journal of Operational Research, Elsevier, vol. 153(1), pages 3-27, February.
    5. Desaulniers, G. & Desrosiers, J. & Dumas, Y. & Marc, S. & Rioux, B. & Solomon, M. M. & Soumis, F., 1997. "Crew pairing at Air France," European Journal of Operational Research, Elsevier, vol. 97(2), pages 245-259, March.
    6. Lubbecke, Marco E., 2005. "Dual variable based fathoming in dynamic programs for column generation," European Journal of Operational Research, Elsevier, vol. 162(1), pages 122-125, April.
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    Cited by:
    1. Bach, L. & Dollevoet, T.A.B. & Huisman, D., 2014. "Integrating Timetabling and Crew Scheduling at a Freight Railway Operator," Econometric Institute Research Papers EI 2014-03, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    2. Shen, Yindong & Peng, Kunkun & Chen, Kai & Li, Jingpeng, 2013. "Evolutionary crew scheduling with adaptive chromosomes," Transportation Research Part B: Methodological, Elsevier, vol. 56(C), pages 174-185.


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