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Conflict avoidance: 0-1 linear models for conflict detection & resolution

Author

Listed:
  • A. Alonso-Ayuso
  • L. Escudero
  • P. Olaso
  • C. Pizarro

Abstract

The Conflict Detection and Resolution Problem for Air Traffic Flow Management consists of deciding the best strategy for airborne aircraft so that there is guarantee that no conflict takes place, i.e., all aircraft maintain the minimum safety distance at every time instant. Two integer linear optimization models for conflict avoidance between any number of aircraft in the airspace are proposed, the first being a pure 0-1 linear which avoids conflicts by means of altitude changes, and the second a mixed 0-1 linear whose strategy is based on altitude and speed changes. Several objective functions are established. Due to the small elapsed time that is required for solving both problems, the approach can be used in real time by using state-of-the-art mixed integer linear optimization software. Copyright Sociedad de Estadística e Investigación Operativa 2013

Suggested Citation

  • 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.
    • Handle: RePEc:spr:topjnl:v:21:y:2013:i:3:p:485-504
    DOI: 10.1007/s11750-011-0224-6
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    Citations

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    Cited by:

    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. 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.
    3. Prot, D. & Rapine, C. & Constans, S. & Fondacci, R., 2014. "A 4D-sequencing approach for air traffic management," European Journal of Operational Research, Elsevier, vol. 237(2), pages 411-425.

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