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An accelerated branch-and-price algorithm for multiple-runway aircraft sequencing problems

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  • Ghoniem, Ahmed
  • Farhadi, Farbod
  • Reihaneh, Mohammad

Abstract

This paper presents an effective branch-and-price (B&P) algorithm for multiple-runway aircraft sequencing problems. This approach improves the tractability of the problem by several orders of magnitude when compared with solving a classical 0–1 mixed-integer formulation over a set of computationally challenging instances. Central to the computational efficacy of the B&P algorithm is solving the column generation subproblem as an elementary shortest path problem with aircraft time-windows and non-triangular separation times using an enhanced dynamic programming procedure. We underscore in our computational study the algorithmic features that contribute, in our experience, to accelerating the proposed dynamic programming procedure and, hence, the overall B&P algorithm.

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  • Ghoniem, Ahmed & Farhadi, Farbod & Reihaneh, Mohammad, 2015. "An accelerated branch-and-price algorithm for multiple-runway aircraft sequencing problems," European Journal of Operational Research, Elsevier, vol. 246(1), pages 34-43.
    • Handle: RePEc:eee:ejores:v:246:y:2015:i:1:p:34-43
    DOI: 10.1016/j.ejor.2015.04.019
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    Cited by:

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    4. Václavík, Roman & Novák, Antonín & Šůcha, Přemysl & Hanzálek, Zdeněk, 2018. "Accelerating the Branch-and-Price Algorithm Using Machine Learning," European Journal of Operational Research, Elsevier, vol. 271(3), pages 1055-1069.
    5. Pohl, Maximilian & Kolisch, Rainer & Schiffer, Maximilian, 2021. "Runway scheduling during winter operations," Omega, Elsevier, vol. 102(C).
    6. Hoogendoorn, Y.N. & Dalmeijer, K., 2021. "Resource-robust valid inequalities for set covering and set partitioning models," Econometric Institute Research Papers EI 2020-08, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    7. Reihaneh, Mohammad & Abouei Ardakan, Mostafa & Eskandarpour, Majid, 2022. "An exact algorithm for the redundancy allocation problem with heterogeneous components under the mixed redundancy strategy," European Journal of Operational Research, Elsevier, vol. 297(3), pages 1112-1125.
    8. Reihaneh, Mohammad & Ansari, Sina & Farhadi, Farbod, 2023. "Patient appointment scheduling at hemodialysis centers: An exact branch and price approach," European Journal of Operational Research, Elsevier, vol. 309(1), pages 35-52.

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