IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v222y2014i1p89-10510.1007-s10479-013-1347-y.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-013-1347-y
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10479-013-1347-y?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bhadra, Dispasis, 2007. "Air Traffic Performance by Market Segments," Journal of the Transportation Research Forum, Transportation Research Forum, vol. 46(2).
    2. Zhe Liang & Wanpracha Art Chaovalitwongse & Elsayed A. Elsayed, 2014. "Sequence Assignment Model for the Flight Conflict Resolution Problem," Transportation Science, INFORMS, vol. 48(3), pages 334-350, August.
    3. Yanchao Liu, 2019. "A Progressive Motion-Planning Algorithm and Traffic Flow Analysis for High-Density 2D Traffic," Transportation Science, INFORMS, vol. 53(6), pages 1501-1525, November.
    4. Diao, Xudong & Chen, Chun-Hsien, 2018. "A sequence model for air traffic flow management rerouting problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 110(C), pages 15-30.
    5. Lee, Kuen-Chang & Tsai, Wen-Hsien & Yang, Chih-Hao & Lin, Ya-Zhi, 2018. "An MCDM approach for selecting green aviation fleet program management strategies under multi-resource limitations," Journal of Air Transport Management, Elsevier, vol. 68(C), pages 76-85.
    6. Miriam F. Bongo & Charlle L. Sy, 2024. "Can diverse and conflicting interests of multiple stakeholders be balanced?," Annals of Operations Research, Springer, vol. 339(3), pages 1813-1837, August.
    7. Antonio Alonso-Ayuso & Laureano Escudero & F. Martín-Campo & Nenad Mladenović, 2015. "A VNS metaheuristic for solving the aircraft conflict detection and resolution problem by performing turn changes," Journal of Global Optimization, Springer, vol. 63(3), pages 583-596, November.
    8. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:annopr:v:222:y:2014:i:1:p:89-105:10.1007/s10479-013-1347-y. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.