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Displacement problem and dynamically scheduling aircraft landings

Author

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  • J E Beasley

    (Imperial College)

  • M Krishnamoorthy

    (CSIRO Mathematical and Information Sciences, Clayton South MDC)

  • Y M Sharaiha

    (Imperial College)

  • D Abramson

    (Monash University)

Abstract

In this paper we define a generic decision problem — the displacement problem. The displacement problem arises when we have to make a sequence of decisions and each new decision that must be made has an explicit link back to the previous decision that was made. This link is quantified by means of the displacement function. One situation where the displacement problem arises is that of dynamically scheduling aircraft landings at an airport. Here decisions about the landing times for aircraft (and the runways they land on) must be taken in a dynamic fashion as time passes and the operational environment changes. We illustrate the application of the displacement problem to the dynamic aircraft landing problem. Computational results are presented for a number of publicly available test problems involving up to 500 aircraft and five runways.

Suggested Citation

  • J E Beasley & M Krishnamoorthy & Y M Sharaiha & D Abramson, 2004. "Displacement problem and dynamically scheduling aircraft landings," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(1), pages 54-64, January.
    • Handle: RePEc:pal:jorsoc:v:55:y:2004:i:1:d:10.1057_palgrave.jors.2601650
    DOI: 10.1057/palgrave.jors.2601650
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    References listed on IDEAS

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    1. Andreussi, Alberto & Bianco, Lucio & Ricciardelli, Salvatore, 1981. "A simulation model for aircraft sequencing in the near terminal area," European Journal of Operational Research, Elsevier, vol. 8(4), pages 345-354, December.
    2. Harilaos N. Psaraftis, 1980. "A Dynamic Programming Approach for Sequencing Groups of Identical Jobs," Operations Research, INFORMS, vol. 28(6), pages 1347-1359, December.
    3. J E Beasley & J Sonander & P Havelock, 2001. "Scheduling aircraft landings at London Heathrow using a population heuristic," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(5), pages 483-493, May.
    4. J. E. Beasley & M. Krishnamoorthy & Y. M. Sharaiha & D. Abramson, 2000. "Scheduling Aircraft Landings—The Static Case," Transportation Science, INFORMS, vol. 34(2), pages 180-197, May.
    5. C. S. Venkatakrishnan & Arnold Barnett & Amedeo R. Odoni, 1993. "Landings at Logan Airport: Describing and Increasing Airport Capacity," Transportation Science, INFORMS, vol. 27(3), pages 211-227, August.
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    Cited by:

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    2. Sabar, Nasser R. & Kendall, Graham, 2015. "An iterated local search with multiple perturbation operators and time varying perturbation strength for the aircraft landing problem," Omega, Elsevier, vol. 56(C), pages 88-98.
    3. Soomer, M.J. & Franx, G.J., 2008. "Scheduling aircraft landings using airlines' preferences," European Journal of Operational Research, Elsevier, vol. 190(1), pages 277-291, October.
    4. Samà, Marcella & D’Ariano, Andrea & D’Ariano, Paolo & Pacciarelli, Dario, 2017. "Scheduling models for optimal aircraft traffic control at busy airports: Tardiness, priorities, equity and violations considerations," Omega, Elsevier, vol. 67(C), pages 81-98.
    5. A R Brentnall & R C H Cheng, 2009. "Some effects of aircraft arrival sequence algorithms," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(7), pages 962-972, July.
    6. Hancerliogullari, Gulsah & Rabadi, Ghaith & Al-Salem, Ameer H. & Kharbeche, Mohamed, 2013. "Greedy algorithms and metaheuristics for a multiple runway combined arrival-departure aircraft sequencing problem," Journal of Air Transport Management, Elsevier, vol. 32(C), pages 39-48.
    7. Pohl, Maximilian & Kolisch, Rainer & Schiffer, Maximilian, 2021. "Runway scheduling during winter operations," Omega, Elsevier, vol. 102(C).
    8. Marcella Samà & Andrea D’Ariano & Konstantin Palagachev & Matthias Gerdts, 2019. "Integration methods for aircraft scheduling and trajectory optimization at a busy terminal manoeuvring area," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(3), pages 641-681, September.
    9. Bennell, Julia A. & Mesgarpour, Mohammad & Potts, Chris N., 2017. "Dynamic scheduling of aircraft landings," European Journal of Operational Research, Elsevier, vol. 258(1), pages 315-327.
    10. Daniel Karapetyan & Jason A. D. Atkin & Andrew J. Parkes & Juan Castro-Gutierrez, 2017. "Lessons from building an automated pre-departure sequencer for airports," Annals of Operations Research, Springer, vol. 252(2), pages 435-453, May.
    11. Faye, Alain, 2015. "Solving the Aircraft Landing Problem with time discretization approach," European Journal of Operational Research, Elsevier, vol. 242(3), pages 1028-1038.
    12. Ng, K.K.H. & Lee, C.K.M. & Chan, Felix T.S. & Qin, Yichen, 2017. "Robust aircraft sequencing and scheduling problem with arrival/departure delay using the min-max regret approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 106(C), pages 115-136.
    13. Pinol, H. & Beasley, J.E., 2006. "Scatter Search and Bionomic Algorithms for the aircraft landing problem," European Journal of Operational Research, Elsevier, vol. 171(2), pages 439-462, June.
    14. Murça, Mayara Condé Rocha & Müller, Carlos, 2015. "Control-based optimization approach for aircraft scheduling in a terminal area with alternative arrival routes," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 73(C), pages 96-113.

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