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Crew Assignment via Constraint Programming: Integrating Column Generation and Heuristic Tree Search

Author

Listed:
  • Meinolf Sellmann
  • Kyriakos Zervoudakis
  • Panagiotis Stamatopoulos
  • Torsten Fahle

Abstract

The Airline Crew Assignment Problem (ACA) consists of assigning lines of work to a set of crew members such that a set of activities is partitioned and the costs for that assignment are minimized. Especially for European airline companies, complex constraints defining the feasibility of a line of work have to be respected. We developed two different algorithms to tackle the large scale optimization problem of Airline Crew Assignment. The first is an application of the Constraint Programming (CP) based Column Generation Framework. The second approach performs a CP based heuristic tree search. We present how both algorithms can be coupled to overcome their inherent weaknesses by integrating methods from Constraint Programming and Operations Research. Numerical results show the superiority of the hybrid algorithm in comparison to CP based tree search and column generation alone. Copyright Kluwer Academic Publishers 2002

Suggested Citation

  • Meinolf Sellmann & Kyriakos Zervoudakis & Panagiotis Stamatopoulos & Torsten Fahle, 2002. "Crew Assignment via Constraint Programming: Integrating Column Generation and Heuristic Tree Search," Annals of Operations Research, Springer, vol. 115(1), pages 207-225, September.
    • Handle: RePEc:spr:annopr:v:115:y:2002:i:1:p:207-225:10.1023/a:1021105422248
    DOI: 10.1023/A:1021105422248
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    Citations

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    Cited by:

    1. Maenhout, Broos & Vanhoucke, Mario, 2010. "A hybrid scatter search heuristic for personalized crew rostering in the airline industry," European Journal of Operational Research, Elsevier, vol. 206(1), pages 155-167, October.
    2. L. Foulds & B. Toklu & J. Wilson, 2009. "Modelling either-or relations in integer programming," Annals of Operations Research, Springer, vol. 166(1), pages 203-222, February.
    3. Stefano Gualandi & Federico Malucelli, 2012. "Exact Solution of Graph Coloring Problems via Constraint Programming and Column Generation," INFORMS Journal on Computing, INFORMS, vol. 24(1), pages 81-100, February.
    4. Nishi, Tatsushi & Sugiyama, Taichi & Inuiguchi, Masahiro, 2014. "Two-level decomposition algorithm for crew rostering problems with fair working condition," European Journal of Operational Research, Elsevier, vol. 237(2), pages 465-473.
    5. Di Martinelly, Christine & Meskens, Nadine, 2017. "A bi-objective integrated approach to building surgical teams and nurse schedule rosters to maximise surgical team affinities and minimise nurses' idle time," International Journal of Production Economics, Elsevier, vol. 191(C), pages 323-334.
    6. Nizar El Hachemi & Michel Gendreau & Louis-Martin Rousseau, 2011. "A hybrid constraint programming approach to the log-truck scheduling problem," Annals of Operations Research, Springer, vol. 184(1), pages 163-178, April.
    7. Stefano Gualandi & Federico Malucelli, 2013. "Constraint Programming-based Column Generation," Annals of Operations Research, Springer, vol. 204(1), pages 11-32, April.
    8. Atoosa Kasirzadeh & Mohammed Saddoune & François Soumis, 2017. "Airline crew scheduling: models, algorithms, and data sets," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 6(2), pages 111-137, June.

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