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Aircraft routing and crew pairing: Updated algorithms at Air France

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  • Parmentier, Axel
  • Meunier, Frédéric

Abstract

Aircraft routing and crew pairing problems aim at building the sequences of flight legs operated respectively by airplanes and by crews of an airline. Given their impact on airlines operating costs, both have been extensively studied for decades. Our goal is to provide reliable and easy to maintain frameworks for both problems at Air France. We propose simple approaches to deal with Air France current setting. For routing, we introduce an exact compact IP formulation that can be solved to optimality by current MIP solvers in at most a few minutes even on Air France largest instances. Regarding crew pairing, we provide a methodology to model the column generation pricing subproblem within a new resource constrained shortest path framework recently introduced by the first author. This new framework, which can be used as a black-box, leverages on bounds to discard partial solutions and speed-up the resolution. The resulting approach enables to solve to optimality Air France largest instances. Recent literature has focused on integrating aircraft routing and crew pairing problems. As a side result, we are able to solve to near optimality large industrial instances of the integrated problem by combining the aforementioned algorithms within a simple cut generating method.

Suggested Citation

  • Parmentier, Axel & Meunier, Frédéric, 2020. "Aircraft routing and crew pairing: Updated algorithms at Air France," Omega, Elsevier, vol. 93(C).
  • Handle: RePEc:eee:jomega:v:93:y:2020:i:c:s0305048317306837
    DOI: 10.1016/j.omega.2019.05.009
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    1. Desaulniers, G. & Desrosiers, J. & Dumas, Y. & Marc, S. & Rioux, B. & Solomon, M. M. & Soumis, F., 1997. "Crew pairing at Air France," European Journal of Operational Research, Elsevier, vol. 97(2), pages 245-259, March.
    2. Shivaram Subramanian & Hanif D. Sherali, 2008. "An Effective Deflected Subgradient Optimization Scheme for Implementing Column Generation for Large-Scale Airline Crew Scheduling Problems," INFORMS Journal on Computing, INFORMS, vol. 20(4), pages 565-578, November.
    3. Ram Gopalan & Kalyan T. Talluri, 1998. "The Aircraft Maintenance Routing Problem," Operations Research, INFORMS, vol. 46(2), pages 260-271, April.
    4. 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.
    5. Jean-François Cordeau & Goran Stojković & François Soumis & Jacques Desrosiers, 2001. "Benders Decomposition for Simultaneous Aircraft Routing and Crew Scheduling," Transportation Science, INFORMS, vol. 35(4), pages 375-388, November.
    6. Kalyan T. Talluri, 1998. "The Four-Day Aircraft Maintenance Routing Problem," Transportation Science, INFORMS, vol. 32(1), pages 43-53, February.
    7. Cynthia Barnhart & Rajesh G. Shenoi, 1998. "An Approximate Model and Solution Approach for the Long-Haul Crew Pairing Problem," Transportation Science, INFORMS, vol. 32(3), pages 221-231, August.
    8. Michelle Dunbar & Gary Froyland & Cheng-Lung Wu, 2012. "Robust Airline Schedule Planning: Minimizing Propagated Delay in an Integrated Routing and Crewing Framework," Transportation Science, INFORMS, vol. 46(2), pages 204-216, May.
    9. Lloyd Clarke & Ellis Johnson & George Nemhauser & Zhongxi Zhu, 1997. "The aircraft rotation problem," Annals of Operations Research, Springer, vol. 69(0), pages 33-46, January.
    10. Etschmaier, MM & Rothstein, M, 1974. "Operations research in the management of the airlines," Omega, Elsevier, vol. 2(2), pages 157-179, April.
    11. Balaji Gopalakrishnan & Ellis. Johnson, 2005. "Airline Crew Scheduling: State-of-the-Art," Annals of Operations Research, Springer, vol. 140(1), pages 305-337, November.
    12. Amy Mainville Cohn & Cynthia Barnhart, 2003. "Improving Crew Scheduling by Incorporating Key Maintenance Routing Decisions," Operations Research, INFORMS, vol. 51(3), pages 387-396, June.
    13. 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.
    14. Stefan Irnich & Guy Desaulniers, 2005. "Shortest Path Problems with Resource Constraints," Springer Books, in: Guy Desaulniers & Jacques Desrosiers & Marius M. Solomon (ed.), Column Generation, chapter 0, pages 33-65, Springer.
    15. Cynthia Barnhart & Natashia L. Boland & Lloyd W. Clarke & Ellis L. Johnson & George L. Nemhauser & Rajesh G. Shenoi, 1998. "Flight String Models for Aircraft Fleeting and Routing," Transportation Science, INFORMS, vol. 32(3), pages 208-220, August.
    16. 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.
    17. Shan Lan & John-Paul Clarke & Cynthia Barnhart, 2006. "Planning for Robust Airline Operations: Optimizing Aircraft Routings and Flight Departure Times to Minimize Passenger Disruptions," Transportation Science, INFORMS, vol. 40(1), pages 15-28, February.
    18. Baker, Edward & Fisher, Michael, 1981. "Computational results for very large air crew scheduling problems," Omega, Elsevier, vol. 9(6), pages 613-618.
    19. Guy Desaulniers & Jacques Desrosiers & Yvan Dumas & Marius M. Solomon & François Soumis, 1997. "Daily Aircraft Routing and Scheduling," Management Science, INFORMS, vol. 43(6), pages 841-855, June.
    20. Lavoie, Sylvie & Minoux, Michel & Odier, Edouard, 1988. "A new approach for crew pairing problems by column generation with an application to air transportation," European Journal of Operational Research, Elsevier, vol. 35(1), pages 45-58, April.
    21. Villeneuve, Daniel & Desaulniers, Guy, 2005. "The shortest path problem with forbidden paths," European Journal of Operational Research, Elsevier, vol. 165(1), pages 97-107, August.
    22. Safaei, Nima & Jardine, Andrew K.S., 2018. "Aircraft routing with generalized maintenance constraints," Omega, Elsevier, vol. 80(C), pages 111-122.
    23. Beasley, J. E. & Cao, B., 1996. "A tree search algorithm for the crew scheduling problem," European Journal of Operational Research, Elsevier, vol. 94(3), pages 517-526, November.
    24. 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.
    25. Diego Klabjan & Ellis L. Johnson & George L. Nemhauser & Eric Gelman & Srini Ramaswamy, 2002. "Airline Crew Scheduling with Time Windows and Plane-Count Constraints," Transportation Science, INFORMS, vol. 36(3), pages 337-348, August.
    26. Khaled, Oumaima & Minoux, Michel & Mousseau, Vincent & Michel, Stéphane & Ceugniet, Xavier, 2018. "A compact optimization model for the tail assignment problem," European Journal of Operational Research, Elsevier, vol. 264(2), pages 548-557.
    27. Thomas A. Feo & Jonathan F. Bard, 1989. "Flight Scheduling and Maintenance Base Planning," Management Science, INFORMS, vol. 35(12), pages 1415-1432, December.
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