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Benders Decomposition for Simultaneous Aircraft Routing and Crew Scheduling

Author

Listed:
  • Jean-François Cordeau

    (École des Hautes Études Commerciales and GERAD, 3000, chemin de la Côte-Sainte-Catherine, Montréal, Canada H3T 2A7)

  • Goran Stojković

    (École Polytechnique and GERAD, C.P. 6079, Succ. Centre-Ville, Montréal, Canada H3C 3A7)

  • François Soumis

    (École Polytechnique and GERAD, C.P. 6079, Succ. Centre-Ville, Montréal, Canada H3C 3A7)

  • Jacques Desrosiers

    (École des Hautes Études Commerciales and GERAD, 3000, chemin de la Côte-Sainte-Catherine, Montréal, Canada H3T 2A7)

Abstract
Given a set of flight legs to be flown by a single type of aircraft, the simultaneous aircraft routing and crew scheduling problem consists of determining a minimum-cost set of aircraft routes and crew pairings such that each flight leg is covered by one aircraft and one crew, and side constraints are satisfied. While some side constraints such as maximum flight time and maintenance requirements involve only crews or aircraft, linking constraints impose minimum connection times for crews that depend on aircraft connections. To handle these linking constraints, a solution approach based on Benders decomposition is proposed. The solution process iterates between a master problem that solves the aircraft routing problem, and a subproblem that solves the crew pairing problem. Because of their particular structure, both of these problems are solved by column generation. A heuristic branch-and-bound method is used to compute integer solutions. On a set of test instances based on data provided by an airline, the integrated approach produced significant cost savings in comparison with the sequential planning process commonly used in practice. The largest instance solved contains more than 500 flight legs over a 3-day period.

Suggested Citation

  • Jean-François Cordeau & Goran Stojković & François Soumis & Jacques Desrosiers, 2001. "Benders Decomposition for Simultaneous Aircraft Routing and Crew Scheduling," Transportation Science, INFORMS, vol. 35(4), pages 375-388, November.
    • Handle: RePEc:inm:ortrsc:v:35:y:2001:i:4:p:375-388
    DOI: 10.1287/trsc.35.4.375.10432
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    References listed on IDEAS

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