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A Three-Phase Approach to Solving the Bidline Problem

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  • Jeffery Weir
  • Ellis Johnson

Abstract

This paper describes a three-phase approach to solving the bidline generation problem within airline flightcrew scheduling. Phase 1 builds “patterns” from existing pairings. Phase 2 builds bidlines from the “patterns” found in Phase 1 and solves a set partitioning problem to generate a final schedule. If Phase 2 fails to cover enough of the scheduled work, Phase 3 is used to fill in the uncovered pairings. Along with this methodology is a new rule set that tries to improve the work–rest schedule for flightcrews by trying to take into account circadian rhythms. This new rule set is an attempt at addressing some of the flightcrews's quality of life issues. Copyright Kluwer Academic Publishers 2004

Suggested Citation

  • Jeffery Weir & Ellis Johnson, 2004. "A Three-Phase Approach to Solving the Bidline Problem," Annals of Operations Research, Springer, vol. 127(1), pages 283-308, March.
    • Handle: RePEc:spr:annopr:v:127:y:2004:i:1:p:283-308:10.1023/b:anor.0000019093.93633.bc
    DOI: 10.1023/B:ANOR.0000019093.93633.bc
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    Cited by:

    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. Boubaker, Khaled & Desaulniers, Guy & Elhallaoui, Issmail, 2010. "Bidline scheduling with equity by heuristic dynamic constraint aggregation," Transportation Research Part B: Methodological, Elsevier, vol. 44(1), pages 50-61, January.
    3. Quesnel, Frédéric & Desaulniers, Guy & Soumis, François, 2020. "A branch-and-price heuristic for the crew pairing problem with language constraints," European Journal of Operational Research, Elsevier, vol. 283(3), pages 1040-1054.
    4. Vahid Zeighami & François Soumis, 2019. "Combining Benders’ Decomposition and Column Generation for Integrated Crew Pairing and Personalized Crew Assignment Problems," Transportation Science, INFORMS, vol. 53(5), pages 1479-1499, September.
    5. Mohammed Saddoune & Guy Desaulniers & Issmail Elhallaoui & François Soumis, 2012. "Integrated Airline Crew Pairing and Crew Assignment by Dynamic Constraint Aggregation," Transportation Science, INFORMS, vol. 46(1), pages 39-55, February.
    6. 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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