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A column generation approach for aircraft sequencing problems: a computational study

Author

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  • Ahmed Ghoniem

    (University of Massachusetts, Amherst, USA)

  • Farbod Farhadi

    (Roger Williams University, Bristol, USA)

Abstract

This paper investigates the computational tractability of aircraft sequencing problems over multiple runways under mixed mode operations, contrasting an enhanced mixed-integer programme (MIP) and an accelerated column generation approach. First, we examine the benefit of augmenting a base MIP with valid inequalities, preprocessing routines, and symmetry-defeating hierarchical constraints in order to improve the performance of branch-and-bound (B&B)/cut techniques as implemented in commercial solvers. Second, we alternatively reformulate the problem as a set partitioning model that prompts the development of a specialized column generation approach. The latter is accelerated by incorporating an interior point dual stabilization scheme and a complementary column generation routine. Empirical results using a set of new, computationally challenging instances and classical instances in the OR Library reveal the potential and limitations of the two methodologies.

Suggested Citation

  • Ahmed Ghoniem & Farbod Farhadi, 2015. "A column generation approach for aircraft sequencing problems: a computational study," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(10), pages 1717-1729, October.
    • Handle: RePEc:pal:jorsoc:v:66:y:2015:i:10:p:1717-1729
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    Cited by:

    1. Salehipour, Amir, 2020. "An algorithm for single- and multiple-runway aircraft landing problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 175(C), pages 179-191.
    2. 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.
    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.

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