IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v47y2001i9p1290-1305.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.47.9.1290.9780
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.47.9.1290.9780?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Qie He & Stefan Irnich & Yongjia Song, 2018. "Branch-Cut-and-Price for the Vehicle Routing Problem with Time Windows and Convex Node Costs," Working Papers 1804, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    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).
    3. Jespersen-Groth, J. & Potthoff, D. & Clausen, J. & Huisman, D. & Kroon, L.G. & Maróti, G. & Nielsen, M.N., 2007. "Disruption management in passenger railway transportation," Econometric Institute Research Papers EI 2007-05, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    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.
    5. Huisman, Dennis & Wagelmans, Albert P.M., 2006. "A solution approach for dynamic vehicle and crew scheduling," European Journal of Operational Research, Elsevier, vol. 172(2), pages 453-471, July.
    6. Glomb, Lukas & Liers, Frauke & Rösel, Florian, 2023. "Optimizing integrated aircraft assignment and turnaround handling," European Journal of Operational Research, Elsevier, vol. 310(3), pages 1051-1071.
    7. Dennis Huisman & Leo G. Kroon & Ramon M. Lentink & Michiel J. C. M. Vromans, 2005. "Operations Research in passenger railway transportation," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 59(4), pages 467-497, November.
    8. Oktay Günlük & Tracy Kimbrel & Laszlo Ladanyi & Baruch Schieber & Gregory B. Sorkin, 2006. "Vehicle Routing and Staffing for Sedan Service," Transportation Science, INFORMS, vol. 40(3), pages 313-326, August.
    9. Yılmaz, Seren Bilge & Yücel, Eda, 2021. "Optimizing onboard catering loading locations and plans for airlines," Omega, Elsevier, vol. 99(C).
    10. Wen, Xin & Chung, Sai-Ho & Ji, Ping & Sheu, Jiuh-Biing, 2022. "Individual scheduling approach for multi-class airline cabin crew with manpower requirement heterogeneity," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 163(C).
    11. Chris Martin & David Jones & Pinar Keskinocak, 2003. "Optimizing On-Demand Aircraft Schedules for Fractional Aircraft Operators," Interfaces, INFORMS, vol. 33(5), pages 22-35, October.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. Rajendran, Suchithra & Srinivas, Sharan, 2020. "Air taxi service for urban mobility: A critical review of recent developments, future challenges, and opportunities," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 143(C).
    20. 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.
    21. 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.
    22. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Gang Yu & Michael Argüello & Gao Song & Sandra M. McCowan & Anna White, 2003. "A New Era for Crew Recovery at Continental Airlines," Interfaces, INFORMS, vol. 33(1), pages 5-22, February.
    3. 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.
    4. Medard, Claude P. & Sawhney, Nidhi, 2007. "Airline crew scheduling from planning to operations," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1013-1027, December.
    5. Abdelghany, Khaled F. & Abdelghany, Ahmed F. & Ekollu, Goutham, 2008. "An integrated decision support tool for airlines schedule recovery during irregular operations," European Journal of Operational Research, Elsevier, vol. 185(2), pages 825-848, March.
    6. Nissen, Rüdiger & Haase, Knut, 2004. "Duty-period-based network model for airline crew rescheduling," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 581, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    7. Vaaben, Bo & Larsen, Jesper, 2015. "Mitigation of airspace congestion impact on airline networks," Journal of Air Transport Management, Elsevier, vol. 47(C), pages 54-65.
    8. 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.
    9. 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.
    10. Hanif D. Sherali & Ki-Hwan Bae & Mohamed Haouari, 2013. "An Integrated Approach for Airline Flight Selection and Timing, Fleet Assignment, and Aircraft Routing," Transportation Science, INFORMS, vol. 47(4), pages 455-476, November.
    11. Ladislav Lettovský & Ellis L. Johnson & George L. Nemhauser, 2000. "Airline Crew Recovery," Transportation Science, INFORMS, vol. 34(4), pages 337-348, November.
    12. 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.
    13. 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.
    14. Sergey Shebalov & Diego Klabjan, 2006. "Robust Airline Crew Pairing: Move-up Crews," Transportation Science, INFORMS, vol. 40(3), pages 300-312, August.
    15. Sinclair, Karine & Cordeau, Jean-François & Laporte, Gilbert, 2014. "Improvements to a large neighborhood search heuristic for an integrated aircraft and passenger recovery problem," European Journal of Operational Research, Elsevier, vol. 233(1), pages 234-245.
    16. 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.
    17. Ying Liu & Xiuqing Yang & Yong Xiang & Yi Chen & Gang Mao & Xinzhi Zhou, 2022. "Allocation and optimization of shared self-service check-in system based on integer programming model," Journal of Combinatorial Optimization, Springer, vol. 44(1), pages 532-556, August.
    18. Andrew Allman & Qi Zhang, 2021. "Branch-and-price for a class of nonconvex mixed-integer nonlinear programs," Journal of Global Optimization, Springer, vol. 81(4), pages 861-880, December.
    19. Yan, Shangyao & Chang, Jei-Chi, 2002. "Airline cockpit crew scheduling," European Journal of Operational Research, Elsevier, vol. 136(3), pages 501-511, February.
    20. Di Martinelly, Christine & Meskens, Nadine, 2017. "A bi-objective integrated approach to building surgical teams and nurse schedule rosters to maximise surgical team affinities and minimise nurses' idle time," International Journal of Production Economics, Elsevier, vol. 191(C), pages 323-334.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:ormnsc:v:47:y:2001:i:9:p:1290-1305. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.