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Aircraft deconfliction with speed regulation: new models from mixed-integer optimization

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  • Sonia Cafieri
  • Nicolas Durand

Abstract

Detecting and solving aircraft conflicts, which occur when aircraft sharing the same airspace are too close to each other according to their predicted trajectories, is a crucial problem in Air Traffic Management. We focus on mixed-integer optimization models based on speed regulation. We first solve the problem to global optimality by means of an exact solver. Since the problem is very difficult to solve, we also propose a heuristic procedure where the problem is decomposed and it is locally exactly solved. Computational results show that the proposed approach provides satisfactory results. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jglopt:v:58:y:2014:i:4:p:613-629
    DOI: 10.1007/s10898-013-0070-1
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    Citations

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    Cited by:

    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. Mercedes Pelegrín & Martina Cerulli, 2023. "Aircraft Conflict Resolution: A Benchmark Generator," INFORMS Journal on Computing, INFORMS, vol. 35(2), pages 274-285, March.
    3. 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.
    4. 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.
    5. Ramazan Kursat Cecen & Tugba Saraç & Cem Cetek, 2021. "Meta-heuristic algorithm for aircraft pre-tactical conflict resolution with altitude and heading angle change maneuvers," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(3), pages 629-647, October.
    6. 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.
    7. 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.
    8. 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.
    9. 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.

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