Newton’s Method for Global Free Flight Trajectory Optimization

Ralf Borndörfer (), Fabian Danecker () and Martin Weiser ()
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Ralf Borndörfer: Zuse Institute Berlin
Fabian Danecker: Zuse Institute Berlin
Martin Weiser: Zuse Institute Berlin

SN Operations Research Forum, 2023, vol. 4, issue 3, 1-41

Abstract: Abstract Globally optimal free flight trajectory optimization can be achieved with a combination of discrete and continuous optimization. A key requirement is that Newton’s method for continuous optimization converges in a sufficiently large neighborhood around a minimizer. We show in this paper that, under certain assumptions, this is the case.

Keywords: Shortest path; Flight planning; Free flight; Optimal control; Discrete optimization; Global optimization; Newton’s method; 49M15; 49M37; 65L10; 65L70; 90C26 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s43069-023-00238-z

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