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Journal Articles Journal of Global Optimization Year : 2021

Detecting and solving aircraft conflicts using bilevel programming

Abstract

We present two bilevel programming formulations for the aircraft deconfliction problem: one based on speed regulation in k dimensions, the other on heading angle changes in 2 dimensions. We propose three reformulations of each problem based on KKT conditions and on two different duals of the lower-level subproblems. We also propose a cut generation algorithm to solve the bilevel formulations. Finally, we present computational results on a variety of instances.
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Dates and versions

hal-02869699 , version 1 (16-06-2020)
hal-02869699 , version 2 (13-10-2020)
hal-02869699 , version 3 (09-12-2020)

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Cite

Martina Cerulli, Claudia d'Ambrosio, Leo Liberti, Mercedes Pelegrín. Detecting and solving aircraft conflicts using bilevel programming. Journal of Global Optimization, 2021, ⟨10.1007/s10898-021-00997-1⟩. ⟨hal-02869699v3⟩
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