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Solving the Aircraft Landing Problem with time discretization approach

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  • Faye, Alain

Abstract

This paper studies the multiple runway Aircraft Landing Problem. The aim is to schedule arriving aircraft to available runways at the airport. Landing times lie within predefined time windows and safety separation constraints between two successive landings must be satisfied. We propose a new approach for solving the problem. The method is based on an approximation of the separation time matrix and on time discretization. The separation matrix is approximated by a rank two matrix. This provides lower bounds or upper bounds depending on the choice of the approximating matrix. These bounds are used in a constraint generation algorithm to, exactly or heuristically, solve the problem. Computational tests, performed on publicly available problems involving up to 500 aircraft, show the efficiency of the approach.

Suggested Citation

  • Faye, Alain, 2015. "Solving the Aircraft Landing Problem with time discretization approach," European Journal of Operational Research, Elsevier, vol. 242(3), pages 1028-1038.
    • Handle: RePEc:eee:ejores:v:242:y:2015:i:3:p:1028-1038
    DOI: 10.1016/j.ejor.2014.10.064
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Artiouchine, Konstantin & Baptiste, Philippe & Dürr, Christoph, 2008. "Runway sequencing with holding patterns," European Journal of Operational Research, Elsevier, vol. 189(3), pages 1254-1266, September.
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    Cited by:

    1. Pohl, Maximilian & Artigues, Christian & Kolisch, Rainer, 2022. "Solving the time-discrete winter runway scheduling problem: A column generation and constraint programming approach," European Journal of Operational Research, Elsevier, vol. 299(2), pages 674-689.
    2. Marie-Sklaerder Vié & Nicolas Zufferey & Roel Leus, 2022. "Aircraft landing planning under uncertain conditions," Journal of Scheduling, Springer, vol. 25(2), pages 203-228, April.
    3. Lieder, Alexander & Stolletz, Raik, 2016. "Scheduling aircraft take-offs and landings on interdependent and heterogeneous runways," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 88(C), pages 167-188.
    4. Pohl, Maximilian & Kolisch, Rainer & Schiffer, Maximilian, 2021. "Runway scheduling during winter operations," Omega, Elsevier, vol. 102(C).
    5. 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.
    6. 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.
    7. Bo Xu & Weimin Ma & Hui Huang & Lei Yue, 2016. "Weighted Constrained Position Shift Model for Aircraft Arrival Sequencing and Scheduling Problem," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(04), pages 1-22, August.
    8. Zhang, Junfeng & Zhao, Pengli & Zhang, Yu & Dai, Ximei & Sui, Dong, 2020. "Criteria selection and multi-objective optimization of aircraft landing problem," Journal of Air Transport Management, Elsevier, vol. 82(C).

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