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On modeling the air traffic control coordination in the collision avoidance problem by mixed integer linear optimization

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  • A. Alonso-Ayuso
  • L. Escudero
  • F. Martín-Campo

Abstract

A mixed integer linear optimization model is presented for providing a cooperative system between Air Traffic Control Officers who manage the airspace for aircraft conflict detection and resolution. Elsewhere we have introduced the model for dealing with velocity and altitude changes in a given air sector. In this work, we extend the model to cover the important problem of coordinating the decisions of the Air Traffic Control Officers of different air sectors. The new model allows the aircraft to ascend or descend one or more altitude levels. It is so tight that a state-of-the-art mixed integer linear optimization solver provides the solution in a very affordable computing time even for large-scale instances. It is worth pointing out that only in very few pilot instances of the testbed, the software engine needs to use the branch-and-cut phase of the solver. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • A. Alonso-Ayuso & L. Escudero & F. Martín-Campo, 2014. "On modeling the air traffic control coordination in the collision avoidance problem by mixed integer linear optimization," Annals of Operations Research, Springer, vol. 222(1), pages 89-105, November.
    • Handle: RePEc:spr:annopr:v:222:y:2014:i:1:p:89-105:10.1007/s10479-013-1347-y
    DOI: 10.1007/s10479-013-1347-y
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    References listed on IDEAS

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    1. Dell'Olmo, Paolo & Lulli, Guglielmo, 2003. "A new hierarchical architecture for Air Traffic Management: Optimisation of airway capacity in a Free Flight scenario," European Journal of Operational Research, Elsevier, vol. 144(1), pages 179-193, January.
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    Cited by:

    1. Linlin Chen & Shuihua Han & Chaokan Du & Zongwei Luo, 2022. "A real-time integrated optimization of the aircraft holding time and rerouting under risk area," Annals of Operations Research, Springer, vol. 310(1), pages 7-26, March.
    2. Li, Tao & Wan, Yan, 2021. "A fuel savings and benefit analysis of reducing separation standards in the oceanic airspace managed by the New York Air Route Traffic Control Center," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    3. Antonio Alonso-Ayuso & Laureano F. Escudero & F. Javier Martín-Campo, 2016. "Exact and Approximate Solving of the Aircraft Collision Resolution Problem via Turn Changes," Transportation Science, INFORMS, vol. 50(1), pages 263-274, February.
    4. Alonso-Ayuso, Antonio & Escudero, Laureano F. & Martín-Campo, F. Javier, 2016. "Multiobjective optimization for aircraft conflict resolution. A metaheuristic approach," European Journal of Operational Research, Elsevier, vol. 248(2), pages 691-702.
    5. Salman Arif & Jason Atkin & Geert Maere, 2023. "Analysing the benefits of trajectory deviations for planar trajectory optimisation," Annals of Operations Research, Springer, vol. 326(1), pages 537-560, July.
    6. Sadeque Hamdan & Oualid Jouini & Ali Cheaitou & Zied Jemai & Tobias Andersson Granberg, 2023. "On the binary formulation of air traffic flow management problems," Annals of Operations Research, Springer, vol. 321(1), pages 267-279, February.

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