IDEAS home Printed from https://ideas.repec.org/a/inm/ortrsc/v50y2016i1p263-274.html
   My bibliography  Save this article

Exact and Approximate Solving of the Aircraft Collision Resolution Problem via Turn Changes

Author

Listed:
  • Antonio Alonso-Ayuso

    (Área de Estadística e Investigación Operativa, Universidad Rey Juan Carlos, 28933 Madrid, Spain)

  • Laureano F. Escudero

    (Área de Estadística e Investigación Operativa, Universidad Rey Juan Carlos, 28933 Madrid, Spain)

  • F. Javier Martín-Campo

    (Departamento de Estadística e Investigación Operativa II (Métodos de decisión), Universidad Complutense de Madrid, 28223 Madrid, Spain)

Abstract

The aircraft conflict detection and resolution problem in air traffic management consists of deciding the best strategy for an arbitrary aircraft configuration such that all conflicts in the airspace are avoided. A conflict situation occurs if two or more aircraft do not maintain the minimum safety distance during their flight plans. A two-step approach is presented. The first step consists of a nonconvex mixed integer nonlinear optimization (MINLO) model based on geometric constructions. The objective is to minimize the weighted aircraft angle variations to obtain the new flight configuration. The second step consists of a set of unconstrained quadratic optimization models where aircraft are forced to return to their original flight plan as soon as possible once there is no aircraft in conflict with any other. The main results of extensive computation are reported by comparing the performance of state-of-the-art nonconvex MINLO solvers and an approximation by discretizing the possible angles of motion for solving a sequence of integer linear optimization (SILO) models in an iterative way. Minotaur, one of the nonconvex MINLO solvers experimented with, gives better solutions but requires more computation time than the SILO approach, which requires only a short time to obtain a good, feasible solution. Its value in the objective function has a reasonable goodness gap compared with the Minotaur solution. Given the need to solve the problem in almost real time, the approximate SILO approach is favored because of its short computation time and solution quality for the testbeds used in the experiment, which include both small- and real-sized instances. However, Minotaur is useful in this particular case for simulation purposes and for calibrating the SILO approach.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ortrsc:v:50:y:2016:i:1:p:263-274
    DOI: 10.1287/trsc.2014.0557
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/trsc.2014.0557
    Download Restriction: no
    File URL: https://libkey.io/10.1287/trsc.2014.0557?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
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Peyronne, Clément & Conn, Andrew R. & Mongeau, Marcel & Delahaye, Daniel, 2015. "Solving air traffic conflict problems via local continuous optimization," European Journal of Operational Research, Elsevier, vol. 241(2), pages 502-512.
    4. A. Alonso-Ayuso & L. Escudero & P. Olaso & C. Pizarro, 2013. "Conflict avoidance: 0-1 linear models for conflict detection & resolution," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(3), pages 485-504, October.
    5. Sonia Cafieri & Nicolas Durand, 2014. "Aircraft deconfliction with speed regulation: new models from mixed-integer optimization," Journal of Global Optimization, Springer, vol. 58(4), pages 613-629, April.
    6. 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.
    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. Martina Cerulli & Claudia D’Ambrosio & Leo Liberti & Mercedes Pelegrín, 2021. "Detecting and solving aircraft conflicts using bilevel programming," Journal of Global Optimization, Springer, vol. 81(2), pages 529-557, October.
    2. Cafieri, Sonia & Omheni, Riadh, 2017. "Mixed-integer nonlinear programming for aircraft conflict avoidance by sequentially applying velocity and heading angle changes," European Journal of Operational Research, Elsevier, vol. 260(1), pages 283-290.
    3. Cafieri, Sonia & Conn, Andrew R. & Mongeau, Marcel, 2023. "Mixed-integer nonlinear and continuous optimization formulations for aircraft conflict avoidance via heading and speed deviations," European Journal of Operational Research, Elsevier, vol. 310(2), pages 670-679.

    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. Cafieri, Sonia & Conn, Andrew R. & Mongeau, Marcel, 2023. "Mixed-integer nonlinear and continuous optimization formulations for aircraft conflict avoidance via heading and speed deviations," European Journal of Operational Research, Elsevier, vol. 310(2), pages 670-679.
    2. Cafieri, Sonia & Omheni, Riadh, 2017. "Mixed-integer nonlinear programming for aircraft conflict avoidance by sequentially applying velocity and heading angle changes," European Journal of Operational Research, Elsevier, vol. 260(1), pages 283-290.
    3. 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.
    4. 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.
    5. Sonia Cafieri & Claudia D’Ambrosio, 2018. "Feasibility pump for aircraft deconfliction with speed regulation," Journal of Global Optimization, Springer, vol. 71(3), pages 501-515, July.
    6. Bhadra, Dispasis, 2007. "Air Traffic Performance by Market Segments," Journal of the Transportation Research Forum, Transportation Research Forum, vol. 46(2).
    7. 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.
    8. 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.
    9. Mercedes Pelegrín & Martina Cerulli, 2023. "Aircraft Conflict Resolution: A Benchmark Generator," INFORMS Journal on Computing, INFORMS, vol. 35(2), pages 274-285, March.
    10. Boukouvala, Fani & Misener, Ruth & Floudas, Christodoulos A., 2016. "Global optimization advances in Mixed-Integer Nonlinear Programming, MINLP, and Constrained Derivative-Free Optimization, CDFO," European Journal of Operational Research, Elsevier, vol. 252(3), pages 701-727.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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).
    16. 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.
    17. 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.
    18. Martina Cerulli & Claudia D’Ambrosio & Leo Liberti & Mercedes Pelegrín, 2021. "Detecting and solving aircraft conflicts using bilevel programming," Journal of Global Optimization, Springer, vol. 81(2), pages 529-557, October.
    19. Yong Tian & Lili Wan & Bojia Ye & Dawei Xing, 2019. "Cruise Flight Performance Optimization for Minimizing Green Direct Operating Cost," Sustainability, MDPI, vol. 11(14), pages 1-15, July.
    20. 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.

    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:inm:ortrsc:v:50:y:2016:i:1:p:263-274. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.