@article{ref1,
title="Mixed-integer nonlinear programming for aircraft conflict avoidance by sequentially applying velocity and heading angle changes",
journal="European journal of operational research",
year="2017",
author="Cafieri, Sonia and Omheni, Riadh",
volume="260",
number="1",
pages="283-290",
abstract="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.<p /> <p>Language: en</p>",
language="en",
issn="0377-2217",
doi="10.1016/j.ejor.2016.12.010",
url="http://dx.doi.org/10.1016/j.ejor.2016.12.010"
}