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A Stochastic Model of Airline Operations

Author

Listed:
  • Jay M. Rosenberger

    (Operations Research and Decision Support Department, American Airlines, Dallas-Fort Worth Airport, Texas 75261-9616)

  • Andrew J. Schaefer

    (Department of Industrial Engineering, School of Engineering, University of Pittsburgh, 1048 Benedum Hall, Pittsburgh, Pennsylvania 15261)

  • David Goldsman

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

  • Ellis L. Johnson

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

  • Anton J. Kleywegt

    (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)

Abstract

We present a stochastic model of the daily operations of an airline. Its primary purpose is to evaluate plans, such as crew schedules, as well as recovery policies in a random environment. We describe the structure of the stochastic model, sources of disruptions, recovery policies, and performance measures. Then, we describe SimAir—our simulation implementation of the stochastic model, and we give computational results. Finally, we give future directions for the study of airline recovery policies and planning under uncertainty.

Suggested Citation

  • Jay M. Rosenberger & Andrew J. Schaefer & David Goldsman & Ellis L. Johnson & Anton J. Kleywegt & George L. Nemhauser, 2002. "A Stochastic Model of Airline Operations," Transportation Science, INFORMS, vol. 36(4), pages 357-377, November.
    • Handle: RePEc:inm:ortrsc:v:36:y:2002:i:4:p:357-377
    DOI: 10.1287/trsc.36.4.357.551
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    References listed on IDEAS

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    Cited by:

    1. Andrew J. Schaefer & Ellis L. Johnson & Anton J. Kleywegt & George L. Nemhauser, 2005. "Airline Crew Scheduling Under Uncertainty," Transportation Science, INFORMS, vol. 39(3), pages 340-348, August.
    2. Scott E. Atkinson & Kamalini Ramdas & Jonathan W. Williams, 2016. "Robust Scheduling Practices in the U.S. Airline Industry: Costs, Returns, and Inefficiencies," Management Science, INFORMS, vol. 62(11), pages 3372-3391, November.
    3. Milind Sohoni & Yu-Ching Lee & Diego Klabjan, 2011. "Robust Airline Scheduling Under Block-Time Uncertainty," Transportation Science, INFORMS, vol. 45(4), pages 451-464, November.
    4. Khaled, Oumaima & Minoux, Michel & Mousseau, Vincent & Michel, Stéphane & Ceugniet, Xavier, 2018. "A multi-criteria repair/recovery framework for the tail assignment problem in airlines," Journal of Air Transport Management, Elsevier, vol. 68(C), pages 137-151.
    5. Ingels, Jonas & Maenhout, Broos, 2019. "Optimised buffer allocation to construct stable personnel shift rosters," Omega, Elsevier, vol. 82(C), pages 102-117.
    6. Sergey Shebalov & Diego Klabjan, 2006. "Robust Airline Crew Pairing: Move-up Crews," Transportation Science, INFORMS, vol. 40(3), pages 300-312, August.
    7. Sherali, Hanif D. & Bish, Ebru K. & Zhu, Xiaomei, 2006. "Airline fleet assignment concepts, models, and algorithms," European Journal of Operational Research, Elsevier, vol. 172(1), pages 1-30, July.
    8. Cynthia Barnhart & Peter Belobaba & Amedeo R. Odoni, 2003. "Applications of Operations Research in the Air Transport Industry," Transportation Science, INFORMS, vol. 37(4), pages 368-391, November.
    9. Jay M. Rosenberger & Ellis L. Johnson & George L. Nemhauser, 2004. "A Robust Fleet-Assignment Model with Hub Isolation and Short Cycles," Transportation Science, INFORMS, vol. 38(3), pages 357-368, August.
    10. Coy, Steven, 2006. "A global model for estimating the block time of commercial passenger aircraft," Journal of Air Transport Management, Elsevier, vol. 12(6), pages 300-305.
    11. Hanif D. Sherali & Ebru K. Bish & Xiaomei Zhu, 2005. "Polyhedral Analysis and Algorithms for a Demand-Driven Refleeting Model for Aircraft Assignment," Transportation Science, INFORMS, vol. 39(3), pages 349-366, August.
    12. Derui Wang & Yanfeng Wu & Jian-Qiang Hu & Miaomiao Liu & Peiwen Yu & Cheng Zhang & Yan Wu, 2019. "Flight Schedule Recovery: A Simulation-Based Approach," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 36(06), pages 1-19, December.
    13. Jonas Ingels & Broos Maenhout, 2017. "Employee substitutability as a tool to improve the robustness in personnel scheduling," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(3), pages 623-658, July.
    14. Evler, Jan & Asadi, Ehsan & Preis, Henning & Fricke, Hartmut, 2021. "Airline ground operations: Optimal schedule recovery with uncertain arrival times," Journal of Air Transport Management, Elsevier, vol. 92(C).
    15. Hai Jiang & Cynthia Barnhart, 2009. "Dynamic Airline Scheduling," Transportation Science, INFORMS, vol. 43(3), pages 336-354, August.
    16. Wang, Xiubin & Regan, Amelia, 2006. "Dynamic yield management when aircraft assignments are subject to swap," Transportation Research Part B: Methodological, Elsevier, vol. 40(7), pages 563-576, August.
    17. Jay M. Rosenberger & Ellis L. Johnson & George L. Nemhauser, 2003. "Rerouting Aircraft for Airline Recovery," Transportation Science, INFORMS, vol. 37(4), pages 408-421, November.
    18. Lee, Loo Hay & Lee, Chul Ung & Tan, Yen Ping, 2007. "A multi-objective genetic algorithm for robust flight scheduling using simulation," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1948-1968, March.
    19. Christopher Bayliss & Geert Maere & Jason A. D. Atkin & Marc Paelinck, 2017. "A simulation scenario based mixed integer programming approach to airline reserve crew scheduling under uncertainty," Annals of Operations Research, Springer, vol. 252(2), pages 335-363, May.
    20. Y. X. Lee & Z. W. Zhong, 2016. "A study of the relationship between adverse weather conditions and flight delay," Journal of Advances in Technology and Engineering Research, A/Professor Akbar A. Khatibi, vol. 2(4), pages 112-117.
    21. Keji Wei & Vikrant Vaze, 2018. "Modeling Crew Itineraries and Delays in the National Air Transportation System," Transportation Science, INFORMS, vol. 52(5), pages 1276-1296, October.

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