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A Stochastic Programming Approach to the Airline Crew Scheduling Problem

Author

Listed:
  • Joyce W. Yen

    (College of Engineering, University of Washington, Seattle, Washington 98195-2180)

  • John R. Birge

    (Graduate School of Business, University of Chicago, Chicago, Illinois 60637)

Abstract

Traditional methods model the billion-dollar airline crew scheduling problem as deterministic and do not explicitly include information on potential disruptions. Instead of modeling the crew scheduling problem as deterministic, we consider a stochastic crew scheduling model and devise a solution methodology for integrating disruptions in the evaluation of crew schedules. The goal is to use that information to find robust solutions that better withstand disruptions. Such an approach is important because we can proactively consider the effects of certain scheduling decisions. By identifying more robust schedules, cascading delay effects are minimized. In this paper we describe our stochastic integer programming model for the airline crew scheduling problem and develop a branching algorithm to identify expensive flight connections and find alternative solutions. The branching algorithm uses the structure of the problem to branch simultaneously on multiple variables without invalidating the optimality of the algorithm. We present computational results demonstrating the effectiveness of our branching algorithm.

Suggested Citation

  • Joyce W. Yen & John R. Birge, 2006. "A Stochastic Programming Approach to the Airline Crew Scheduling Problem," Transportation Science, INFORMS, vol. 40(1), pages 3-14, February.
    • Handle: RePEc:inm:ortrsc:v:40:y:2006:i:1:p:3-14
    DOI: 10.1287/trsc.1050.0138
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    References listed on IDEAS

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    1. Ahmad I. Z. Jarrah & Gang Yu & Nirup Krishnamurthy & Ananda Rakshit, 1993. "A Decision Support Framework for Airline Flight Cancellations and Delays," Transportation Science, INFORMS, vol. 27(3), pages 266-280, August.
    2. Willem Klein Haneveld & Maarten van der Vlerk, 1999. "Stochastic integer programming:General models and algorithms," Annals of Operations Research, Springer, vol. 85(0), pages 39-57, January.
    3. Guo Wei & Gang Yu & Mark Song, 1997. "Optimization Model and Algorithm for Crew Management During Airline Irregular Operations," Journal of Combinatorial Optimization, Springer, vol. 1(3), pages 305-321, October.
    4. Roy E. Marsten & Michael R. Muller & Christine L. Killion, 1979. "Crew Planning at Flying Tiger: A Successful Application of Integer Programming," Management Science, INFORMS, vol. 25(12), pages 1175-1183, December.
    5. Chu, Hai D. & Gelman, Eric & Johnson, Ellis L., 1997. "Solving large scale crew scheduling problems," European Journal of Operational Research, Elsevier, vol. 97(2), pages 260-268, March.
    6. Shangyao Yan & Chung-Gee Lin, 1997. "Airline Scheduling for the Temporary Closure of Airports," Transportation Science, INFORMS, vol. 31(1), pages 72-82, February.
    7. J. P. Arabeyre & J. Fearnley & F. C. Steiger & W. Teather, 1969. "The Airline Crew Scheduling Problem: A Survey," Transportation Science, INFORMS, vol. 3(2), pages 140-163, May.
    8. Ladislav Lettovský & Ellis L. Johnson & George L. Nemhauser, 2000. "Airline Crew Recovery," Transportation Science, INFORMS, vol. 34(4), pages 337-348, November.
    9. Ira Gershkoff, 1989. "Optimizing Flight Crew Schedules," Interfaces, INFORMS, vol. 19(4), pages 29-43, August.
    10. Glenn W. Graves & Richard D. McBride & Ira Gershkoff & Diane Anderson & Deepa Mahidhara, 1993. "Flight Crew Scheduling," Management Science, INFORMS, vol. 39(6), pages 736-745, June.
    11. Jerrold Rubin, 1973. "A Technique for the Solution of Massive Set Covering Problems, with Application to Airline Crew Scheduling," Transportation Science, INFORMS, vol. 7(1), pages 34-48, February.
    12. Mirela Stojković & François Soumis & Jacques Desrosiers, 1998. "The Operational Airline Crew Scheduling Problem," Transportation Science, INFORMS, vol. 32(3), pages 232-245, August.
    13. Wark, Peter & Holt, John & Ronnqvist, Mikael & Ryan, David, 1997. "Aircrew schedule generation using repeated matching," European Journal of Operational Research, Elsevier, vol. 102(1), pages 21-35, October.
    14. Thomas Justin Chan & Candace Arai Yano, 1992. "A Multiplier Adjustment Approach for the Set Partitioning Problem," Operations Research, INFORMS, vol. 40(1-supplem), pages 40-47, February.
    15. Karla L. Hoffman & Manfred Padberg, 1993. "Solving Airline Crew Scheduling Problems by Branch-and-Cut," Management Science, INFORMS, vol. 39(6), pages 657-682, June.
    16. Ananda Rakshit & Nirup Krishnamurthy & Gang Yu, 1996. "System Operations Advisor: A Real-Time Decision Support System for Managing Airline Operations at United Airlines," Interfaces, INFORMS, vol. 26(2), pages 50-58, April.
    17. Cynthia Barnhart & Ellis L. Johnson & George L. Nemhauser & Martin W. P. Savelsbergh & Pamela H. Vance, 1998. "Branch-and-Price: Column Generation for Solving Huge Integer Programs," Operations Research, INFORMS, vol. 46(3), pages 316-329, June.
    18. Ellis L. Johnson & Tina L. Shaw & Rebecca L. Ho, 1999. "Modeling Tools for Airline-crew Scheduling and Fleet-assignment Problems," Palgrave Macmillan Books, in: Tito A. Ciriani & Stefano Gliozzi & Ellis L. Johnson & Roberto Tadei (ed.), Operational Research in Industry, chapter 1, pages 1-24, Palgrave Macmillan.
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