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Cafieri , Sonia; Messine , Frédéric; Touhami , Ahmed (2016)
Publisher: HAL CCSD
Languages: English
Types: Conference object
Subjects: Aircraft conflict avoidance, Interval Branch and Bound, [ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC], Affine forms, Convex relaxation
International audience; In this paper, some improvements of spatial Branch and Bound (sBB) algorithms are discussed to solve aircraft conflict avoidance problems formulated as MINLP. We propose a new quadratic convex relaxation technique based on affine arithmetic. Moreover, a branching strategy is also proposedfor the considered problem. Preliminary numerical results validates the proposed approach

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