License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/OASIcs.ATMOS.2023.3
URN: urn:nbn:de:0030-drops-187642
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2023/18764/
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Borndörfer, Ralf ; Danecker, Fabian ; Weiser, Martin

Convergence Properties of Newton’s Method for Globally Optimal Free Flight Trajectory Optimization (Short Paper)

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OASIcs-ATMOS-2023-3.pdf (0.7 MB)

Abstract

The algorithmic efficiency of Newton-based methods for Free Flight Trajectory Optimization is heavily influenced by the size of the domain of convergence. We provide numerical evidence that the convergence radius is much larger in practice than what the theoretical worst case bounds suggest. The algorithm can be further improved by a convergence-enhancing domain decomposition.

BibTeX - Entry

@InProceedings{borndorfer_et_al:OASIcs.ATMOS.2023.3,
  author =	{Bornd\"{o}rfer, Ralf and Danecker, Fabian and Weiser, Martin},
  title =	{{Convergence Properties of Newton’s Method for Globally Optimal Free Flight Trajectory Optimization}},
  booktitle =	{23rd Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2023)},
  pages =	{3:1--3:6},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-95977-302-7},
  ISSN =	{2190-6807},
  year =	{2023},
  volume =	{115},
  editor =	{Frigioni, Daniele and Schiewe, Philine},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2023/18764},
  URN =		{urn:nbn:de:0030-drops-187642},
  doi =		{10.4230/OASIcs.ATMOS.2023.3},
  annote =	{Keywords: shortest path, flight planning, free flight, optimal control, global optimization, Newton’s method}
}

Keywords: shortest path, flight planning, free flight, optimal control, global optimization, Newton’s method
Collection: 23rd Symposium on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS 2023)
Issue Date: 2023
Date of publication: 31.08.2023

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