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Airline Crew Scheduling with Regularity

Author

Listed:
  • Diego Klabjan

    (Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801)

  • Ellis L. Johnson

    (School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0205)

  • George L. Nemhauser

    (School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0205)

  • Eric Gelman

    (Research and Development, Information Services Division, United Airlines)

  • Srini Ramaswamy

    (Research and Development, Information Services Division, United Airlines)

Abstract

The airline crew scheduling problem is the problem of assigning crew itineraries to flights. The problem is hard due to a large number of itineraries and the complicated cost function of an itinerary. The classic approach, which uses a set partitioning formulation, only captures the objective function of minimizing cost. We add a second goal of maximizing the repetition or regularity of itineraries over a weekly horizon and we develop models that capture regularity. We present a new algorithm that solves the crew scheduling problem over a weekly horizon. Solutions are reported that improve on existing solutions used by an airline.

Suggested Citation

  • Diego Klabjan & Ellis L. Johnson & George L. Nemhauser & Eric Gelman & Srini Ramaswamy, 2001. "Airline Crew Scheduling with Regularity," Transportation Science, INFORMS, vol. 35(4), pages 359-374, November.
    • Handle: RePEc:inm:ortrsc:v:35:y:2001:i:4:p:359-374
    DOI: 10.1287/trsc.35.4.359.10437
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    Cited by:

    1. Shivaram Subramanian & Hanif D. Sherali, 2008. "An Effective Deflected Subgradient Optimization Scheme for Implementing Column Generation for Large-Scale Airline Crew Scheduling Problems," INFORMS Journal on Computing, INFORMS, vol. 20(4), pages 565-578, November.
    2. Sebastián Genta & Juan Muñoz, 2007. "On assigning drivers for a home-delivery system on a performance basis," Annals of Operations Research, Springer, vol. 155(1), pages 107-117, November.
    3. Panta Lučić & Dušan Teodorović, 2007. "Metaheuristics approach to the aircrew rostering problem," Annals of Operations Research, Springer, vol. 155(1), pages 311-338, November.
    4. Sarac, Abdulkadir & Batta, Rajan & Rump, Christopher M., 2006. "A branch-and-price approach for operational aircraft maintenance routing," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1850-1869, December.

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