Detecting and solving aircraft conflicts using bilevel programming

Martina Cerulli (), Claudia D’Ambrosio (), Leo Liberti () and Mercedes Pelegrín ()
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Martina Cerulli: École Polytechnique
Claudia D’Ambrosio: École Polytechnique
Leo Liberti: École Polytechnique
Mercedes Pelegrín: École Polytechnique

Journal of Global Optimization, 2021, vol. 81, issue 2, No 10, 529-557

Abstract: 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.

Keywords: Mathematical programming; Deconfliction; Air traffic management; Cutting plane; Bilevel programming (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10898-021-00997-1

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