• Denys Vasyliev Ukrainian State Air Traffic Services Enterprise (UkSATSE), Airport, , Boryspil



aircraft, air traffic control, conflict resolution, dynamic programming, flight safety, multi-aircraft conflict, multi-objective optimization


Purpose: The risk of critical proximities of several aircraft and appearance of multi-aircraft conflicts increases under current conditions of high dynamics and density of air traffic. The actual problem is a development of methods for optimal multi-aircraft conflicts resolution that should provide the synthesis of conflict-free trajectories in three-dimensional space. Methods: The method for optimal resolution of multi-aircraft conflicts using heading, speed and altitude change maneuvers has been developed. Optimality criteria are flight regularity, flight economy and the complexity of maneuvering. Method provides the sequential synthesis of the Pareto-optimal set of combinations of conflict-free flight trajectories using multi-objective dynamic programming and selection of optimal combination using the convolution of optimality criteria. Within described method the following are defined: the procedure for determination of combinations of aircraft conflict-free states that define the combinations of Pareto-optimal trajectories; the limitations on discretization of conflict resolution process for ensuring the absence of unobservable separation violations. Results: The analysis of the proposed method is performed using computer simulation which results show that synthesized combination of conflict-free trajectories ensures the multi-aircraft conflict avoidance and complies with defined optimality criteria. Discussion: Proposed method can be used for development of new automated air traffic control systems, airborne collision avoidance systems, intelligent air traffic control simulators and for research activities.

Author Biography

Denys Vasyliev, Ukrainian State Air Traffic Services Enterprise (UkSATSE), Airport, , Boryspil

PhD in Engineering.

Instructor of Training and Certification Centre of Ukrainian State Air Traffic Services Enterprise (UkSATSE), Boryspil, Ukraine

Associate Professor of Air Navigation Systems Department of National Aviation University, Kyiv, Ukraine.

PhD in Engineering on specialty “Navigation and Traffic Control” (2014)

Education: National Aviation University, Kyiv, Ukraine (2010).

Research area: situation analysis and decision-making in air traffic management.


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How to Cite

Vasyliev, D. (2017). METHOD FOR OPTIMAL RESOLUTION OF MULTI-AIRCRAFT CONFLICTS IN THREE-DIMENSIONAL SPACE. Proceedings of National Aviation University, 70(1), 36–47.