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Mixed-integer nonlinear programming for aircraft conflict avoidance by sequentially applying velocity and heading angle changes. (English) Zbl 1402.90094
Summary: We consider the problem of aircraft conflict avoidance in air traffic management systems. Given an initial configuration of a number of aircraft sharing the same airspace, the main goal of conflict avoidance is to guarantee that a minimum safety distance between each pair of aircraft is always respected during their flights. We consider aircraft separation achieved by heading angle deviations, and propose a mixed 0-1 nonlinear optimization model, that is then combined with another one which is based on aircraft speed regulation. A two-step solution approach is proposed, where the two models are sequentially solved using a state-of-the-art mixed-integer nonlinear programming solver. Numerical results validate the proposed approach and clearly show the benefit of combining the two considered separation maneuvers.

90C11 Mixed integer programming
90C30 Nonlinear programming
90C90 Applications of mathematical programming
90C26 Nonconvex programming, global optimization
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