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Aircraft Flow Management under Congestion

Author

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  • G. Andreatta

    (University of Padova, Padova, Italy)

  • G. Romanin-Jacur

    (University of Padova, Padova, Italy)

Abstract

Airport congestion is one of the main causes of costly aircraft delays. Sometimes costs may be reduced by imposing on some aircraft a delay at take off time in order to later avoid a more expensive airborne delay. The objective of the Flow Management Problem (F.M.P.) is to find an optimal delay strategy so that the total expected delay cost is minimized. In this paper an idealized and greatly simplified version of F.M.P. is investigated. In particular the airways network considered is star-shaped and congestion is allowed only in the central (arrival) airport. For this particular version a model is presented and a polynomial solution algorithm is derived. Landing priorities among aircraft can also influence the total expected delay cost: the optimal priority rule for our version of the F.M.P. is derived. Another algorithm is presented for the case where the number of aircraft not to be delayed on the ground is given a priori. Possible extensions of the proposed model to more realistic situations are mentioned.

Suggested Citation

  • G. Andreatta & G. Romanin-Jacur, 1987. "Aircraft Flow Management under Congestion," Transportation Science, INFORMS, vol. 21(4), pages 249-253, November.
    • Handle: RePEc:inm:ortrsc:v:21:y:1987:i:4:p:249-253
    DOI: 10.1287/trsc.21.4.249
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    Cited by:

    1. Mohamed Ali Kammoun & Sadok Turki & Nidhal Rezg, 2020. "Optimization of Flight Rescheduling Problem under Carbon Tax," Sustainability, MDPI, vol. 12(14), pages 1-19, July.
    2. Thomas W. M. Vossen & Michael O. Ball, 2006. "Slot Trading Opportunities in Collaborative Ground Delay Programs," Transportation Science, INFORMS, vol. 40(1), pages 29-43, February.
    3. Leal de Matos, Paula & Ormerod, Richard, 2000. "The application of operational research to European air traffic flow management - understanding the context," European Journal of Operational Research, Elsevier, vol. 123(1), pages 125-144, May.
    4. Brunner, Jens O., 2014. "Rescheduling of flights during ground delay programs with consideration of passenger and crew connections," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 72(C), pages 236-252.
    5. Kammoun, Mohamed Ali & Rezg, Nidhal, 2018. "An efficient hybrid approach for resolving the aircraft routing and rescheduling problem," Journal of Air Transport Management, Elsevier, vol. 71(C), pages 73-87.
    6. Jian Yang & Xiangtong Qi & Gang Yu, 2005. "Disruption management in production planning," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(5), pages 420-442, August.
    7. Bard, Jonathan F. & Mohan, Dinesh Natarajan, 2008. "Reallocating arrival slots during a ground delay program," Transportation Research Part B: Methodological, Elsevier, vol. 42(2), pages 113-134, February.
    8. Pellegrini, Paola & Rodriguez, Joaquin, 2013. "Single European Sky and Single European Railway Area: A system level analysis of air and rail transportation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 57(C), pages 64-86.
    9. Lorenzo Castelli & Raffaele Pesenti & Andrea Ranieri, 2009. "Allocating Air Traffic Flow Management Slots," Working Papers 191, Department of Applied Mathematics, Università Ca' Foscari Venezia.
    10. Guo, Yechenfeng & Hu, Minghua & Zou, Bo & Hansen, Mark & Zhang, Ying & Xie, Hua, 2022. "Air Traffic Flow Management Integrating Separation Management and Ground Holding: An Efficiency-Equity Bi-objective Perspective," Transportation Research Part B: Methodological, Elsevier, vol. 155(C), pages 394-423.
    11. Andreatta, Giovanni & Dell'Olmo, Paolo & Lulli, Guglielmo, 2011. "An aggregate stochastic programming model for air traffic flow management," European Journal of Operational Research, Elsevier, vol. 215(3), pages 697-704, December.
    12. Robert Hoffman & Michael O. Ball, 2000. "A Comparison of Formulations for the Single-Airport Ground-Holding Problem with Banking Constraints," Operations Research, INFORMS, vol. 48(4), pages 578-590, August.

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