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Airline Crew Scheduling: A New Formulation and Decomposition Algorithm

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  • Pamela H. Vance

    (Auburn University, Auburn, Alabama)

  • Cynthia Barnhart

    (Massachusetts Institute of Technology, Cambridge, Massachusetts)

  • Ellis L. Johnson

    (Georgia Institute of Technology, Atlanta, Georgia)

  • George L. Nemhauser

    (Georgia Institute of Technology, Atlanta, Georgia)

Abstract

Airline crew scheduling is concerned with finding a minimum cost assignment of flight crews to a given flight schedule while satisfying restrictions dictated by collective bargaining agreements and the Federal Aviation Administration. Traditionally, the problem has been modeled as a set partitioning problem. In this paper, we present a new model based on breaking the decision process into two stages. In the first stage we select a set of duty periods that cover the flights in the schedule. Then, in the second stage, we attempt to build pairings using those duty periods. We suggest a decomposition approach for solving the model and present computational results for test problems provided by a major carrier. Our formulation provides a tighter linear programming bound than that of the conventional set partitioning formulation but is more difficult to solve.

Suggested Citation

  • Pamela H. Vance & Cynthia Barnhart & Ellis L. Johnson & George L. Nemhauser, 1997. "Airline Crew Scheduling: A New Formulation and Decomposition Algorithm," Operations Research, INFORMS, vol. 45(2), pages 188-200, April.
    • Handle: RePEc:inm:oropre:v:45:y:1997:i:2:p:188-200
    DOI: 10.1287/opre.45.2.188
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