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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.

Abstract

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.

Suggested Citation

  • Jütte, Silke & Thonemann, Ulrich W., 2012. "Divide-and-price: A decomposition algorithm for solving large railway crew scheduling problems," European Journal of Operational Research, Elsevier, vol. 219(2), pages 214-223.
    • Handle: RePEc:eee:ejores:v:219:y:2012:i:2:p:214-223
    DOI: 10.1016/j.ejor.2011.12.038
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    2. Neufeld, Janis S. & Scheffler, Martin & Tamke, Felix & Hoffmann, Kirsten & Buscher, Udo, 2021. "An efficient column generation approach for practical railway crew scheduling with attendance rates," European Journal of Operational Research, Elsevier, vol. 293(3), pages 1113-1130.
    3. 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.
    4. 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.
    5. Dauzère-Pérès, Stéphane & De Almeida, David & Guyon, Olivier & Benhizia, Faten, 2015. "A Lagrangian heuristic framework for a real-life integrated planning problem of railway transportation resources," Transportation Research Part B: Methodological, Elsevier, vol. 74(C), pages 138-150.
    6. Kirsten Hoffmann & Udo Buscher & Janis Sebastian Neufeld & Felix Tamke, 2017. "Solving Practical Railway Crew Scheduling Problems with Attendance Rates," Business & Information Systems Engineering: The International Journal of WIRTSCHAFTSINFORMATIK, Springer;Gesellschaft für Informatik e.V. (GI), vol. 59(3), pages 147-159, June.
    7. 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.
    8. 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.
    9. van Rossum, B.T.C. & Dollevoet, T. & Huisman, D., 2024. "Railway crew planning with fairness over time," European Journal of Operational Research, Elsevier, vol. 318(1), pages 55-70.
    10. 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.
    11. Suyabatmaz, Ali Çetin & Şahin, Güvenç, 2015. "Railway crew capacity planning problem with connectivity of schedules," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 84(C), pages 88-100.

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