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An Optimization Model for the Simultaneous Operational Flight and Pilot Scheduling Problem

Author

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  • Mirela Stojkovi'{c}

    (GERAD and École Polytechnique de Montréal, 3000, chemin de la Côte-Sainte-Catherine, Montréal, Quebec, Canada H3T 2A7)

  • François Soumis

    (GERAD and École Polytechnique de Montréal, 3000, chemin de la Côte-Sainte-Catherine, Montréal, Quebec, Canada H3T 2A7)

Abstract

This paper describes and solves the operational pilot scheduling problem for one day of operations. The problem consists in simultaneously modifying, as necessary, the existing flight departure schedules and planned individual work days (duties) while keeping planned aircraft itineraries unchanged. It requires the covering of all flights from one day of operations with available pilots while minimizing changes in both the flight schedule and the next day's planned duties. The newly constructed personalized duties must not exceed the maximum duty duration. Flight precedence constraints, coming from existing fixed aircraft itineraries, must be respected as well. The problem is mathematically formulated as an integer nonlinear multicommodity network flow model with time windows and additional constraints. To solve the problem, a Dantzig-Wolfe decomposition combined with a branch-and-bound method has been used. The master problem comprises the flight-covering constraints and a new set of flight precedence constraints. Subproblems consisting of time-constrained shortest-path problems with linear time costs are solved by a specialized dynamic-programming algorithm. The proposed optimization approach has been tested on several input data sets. All of them have been successfully solved in very short computational time.

Suggested Citation

  • Mirela Stojkovi'{c} & François Soumis, 2001. "An Optimization Model for the Simultaneous Operational Flight and Pilot Scheduling Problem," Management Science, INFORMS, vol. 47(9), pages 1290-1305, September.
    • Handle: RePEc:inm:ormnsc:v:47:y:2001:i:9:p:1290-1305
    DOI: 10.1287/mnsc.47.9.1290.9780
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    References listed on IDEAS

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    1. 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.
    2. Mirela Stojković & François Soumis & Jacques Desrosiers, 1998. "The Operational Airline Crew Scheduling Problem," Transportation Science, INFORMS, vol. 32(3), pages 232-245, August.
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    Cited by:

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    2. Breugem, T. & van Rossum, B.T.C. & Dollevoet, T. & Huisman, D., 2022. "A column generation approach for the integrated crew re-planning problem," Omega, Elsevier, vol. 107(C).
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    4. Belanger, Nicolas & Desaulniers, Guy & Soumis, Francois & Desrosiers, Jacques, 2006. "Periodic airline fleet assignment with time windows, spacing constraints, and time dependent revenues," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1754-1766, December.
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    12. Stephen J. Maher, 2016. "Solving the Integrated Airline Recovery Problem Using Column-and-Row Generation," Transportation Science, INFORMS, vol. 50(1), pages 216-239, February.
    13. Breugem, T. & Dollevoet, T.A.B. & Huisman, D., 2019. "A Column Generation Approach for the Integrated Crew Re-Planning Problem," Econometric Institute Research Papers EI2019-31, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
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    15. Liang, Zhe & Feng, Yuan & Zhang, Xiaoning & Wu, Tao & Chaovalitwongse, Wanpracha Art, 2015. "Robust weekly aircraft maintenance routing problem and the extension to the tail assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 78(C), pages 238-259.
    16. Breugem, T. & Dollevoet, T.A.B. & Huisman, D., 2017. "Is Equality always desirable?," Econometric Institute Research Papers EI2017-30, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    17. Thomas Breugem & Twan Dollevoet & Dennis Huisman, 2022. "Is Equality Always Desirable? Analyzing the Trade-Off Between Fairness and Attractiveness in Crew Rostering," Management Science, INFORMS, vol. 68(4), pages 2619-2641, April.
    18. Schrotenboer, Albert H. & Wenneker, Rob & Ursavas, Evrim & Zhu, Stuart X., 2023. "Reliable reserve-crew scheduling for airlines," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 178(C).
    19. Qie He & Stefan Irnich & Yongjia Song, 2019. "Branch-and-Cut-and-Price for the Vehicle Routing Problem with Time Windows and Convex Node Costs," Transportation Science, INFORMS, vol. 53(5), pages 1409-1426, September.
    20. Jon D. Petersen & Gustaf Sölveling & John-Paul Clarke & Ellis L. Johnson & Sergey Shebalov, 2012. "An Optimization Approach to Airline Integrated Recovery," Transportation Science, INFORMS, vol. 46(4), pages 482-500, November.
    21. van Lieshout, R.N. & Mulder, J. & Huisman, D., 2016. "The Vehicle Rescheduling Problem with Retiming," Econometric Institute Research Papers EI2016-37, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    22. Chang, Shaw-Ching, 2012. "A duty based approach in solving the aircrew recovery problem," Journal of Air Transport Management, Elsevier, vol. 19(C), pages 16-20.
    23. Huisman, Dennis, 2007. "A column generation approach for the rail crew re-scheduling problem," European Journal of Operational Research, Elsevier, vol. 180(1), pages 163-173, July.

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