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The robust crew pairing problem: model and solution methodology

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  • Da Lu
  • Fatma Gzara

Abstract

We present a new robust formulation for the crew pairing problem where flight and connection times are random and vary within an interval. The model protects against infeasibility with a specified level of uncertainty and minimizes crew cost in the worst case. The resulting robust terms in the objective function and in the resource constraints are nonlinear. We apply Lagrangian relaxation to separate the nonlinear terms in the subproblem leading to a new robust formulation of the shortest path problem with resource constraints. We show that the nonlinear subproblem can be solved as a series of linear auxiliary problems. The proposed solution methodology was successful to solve industry instances in very competitive times and led to more robust crew pairing solutions as shown by simulation experiments. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Da Lu & Fatma Gzara, 2015. "The robust crew pairing problem: model and solution methodology," Journal of Global Optimization, Springer, vol. 62(1), pages 29-54, May.
  • Handle: RePEc:spr:jglopt:v:62:y:2015:i:1:p:29-54
    DOI: 10.1007/s10898-014-0222-y
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    References listed on IDEAS

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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. Sergey Shebalov & Diego Klabjan, 2006. "Robust Airline Crew Pairing: Move-up Crews," Transportation Science, INFORMS, vol. 40(3), pages 300-312, August.
    3. Chunhua Gao & Ellis Johnson & Barry Smith, 2009. "Integrated Airline Fleet and Crew Robust Planning," Transportation Science, INFORMS, vol. 43(1), pages 2-16, February.
    4. Cynthia Barnhart & Levent Hatay & Ellis L. Johnson, 1995. "Deadhead Selection for the Long-Haul Crew Pairing Problem," Operations Research, INFORMS, vol. 43(3), pages 491-499, June.
    5. 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.
    6. Barry C. Smith & Ellis L. Johnson, 2006. "Robust Airline Fleet Assignment: Imposing Station Purity Using Station Decomposition," Transportation Science, INFORMS, vol. 40(4), pages 497-516, November.
    7. ,, 2000. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 16(2), pages 287-299, April.
    8. Kohl, Niklas & Larsen, Allan & Larsen, Jesper & Ross, Alex & Tiourine, Sergey, 2007. "Airline disruption management—Perspectives, experiences and outlook," Journal of Air Transport Management, Elsevier, vol. 13(3), pages 149-162.
    9. A. Ben-Tal & A. Nemirovski, 1998. "Robust Convex Optimization," Mathematics of Operations Research, INFORMS, vol. 23(4), pages 769-805, November.
    10. Dimitris Bertsimas & Melvyn Sim, 2004. "The Price of Robustness," Operations Research, INFORMS, vol. 52(1), pages 35-53, February.
    11. 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.
    12. Alexandra Makri & Diego Klabjan, 2004. "A New Pricing Scheme for Airline Crew Scheduling," INFORMS Journal on Computing, INFORMS, vol. 16(1), pages 56-67, February.
    13. Vinayak Deshpande & Mazhar Arıkan, 2012. "The Impact of Airline Flight Schedules on Flight Delays," Manufacturing & Service Operations Management, INFORMS, vol. 14(3), pages 423-440, July.
    14. 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.
    15. Herroelen, Willy & Leus, Roel, 2005. "Project scheduling under uncertainty: Survey and research potentials," European Journal of Operational Research, Elsevier, vol. 165(2), pages 289-306, September.
    16. 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.
    17. 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.
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    2. Choi, Tsan-Ming & Wen, Xin & Sun, Xuting & Chung, Sai-Ho, 2019. "The mean-variance approach for global supply chain risk analysis with air logistics in the blockchain technology era," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 127(C), pages 178-191.
    3. Mohamed Haouari & Farah Zeghal Mansour & Hanif D. Sherali, 2019. "A New Compact Formulation for the Daily Crew Pairing Problem," Transportation Science, INFORMS, vol. 53(3), pages 811-828, May.
    4. David Antunes & Vikrant Vaze & António Pais Antunes, 2019. "A Robust Pairing Model for Airline Crew Scheduling," Transportation Science, INFORMS, vol. 53(6), pages 1751-1771, November.
    5. Vojtech Graf & Dusan Teichmann & Michal Dorda & Lenka Kontrikova, 2021. "Dynamic Model of Contingency Flight Crew Planning Extending to Crew Formation," Mathematics, MDPI, vol. 9(17), pages 1-28, September.
    6. 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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