License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.SOCG.2015.329
URN: urn:nbn:de:0030-drops-51241
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2015/5124/
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Cohen-Addad, Vincent ; Mathieu, Claire

Effectiveness of Local Search for Geometric Optimization

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Abstract

What is the effectiveness of local search algorithms for geometric problems in the plane? We prove that local search with neighborhoods of magnitude 1/epsilon^c is an approximation scheme for the following problems in the Euclidean plane: TSP with random inputs, Steiner tree with random inputs, uniform facility location (with worst case inputs), and bicriteria k-median (also with worst case inputs). The randomness assumption is necessary for TSP.

BibTeX - Entry

@InProceedings{cohenaddad_et_al:LIPIcs:2015:5124,
  author =	{Vincent Cohen-Addad and Claire Mathieu},
  title =	{{Effectiveness of Local Search for Geometric Optimization}},
  booktitle =	{31st International Symposium on Computational Geometry (SoCG 2015)},
  pages =	{329--343},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-83-5},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{34},
  editor =	{Lars Arge and J{\'a}nos Pach},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/5124},
  URN =		{urn:nbn:de:0030-drops-51241},
  doi =		{10.4230/LIPIcs.SOCG.2015.329},
  annote =	{Keywords: Local Search, PTAS, Facility Location, k-Median, TSP, Steiner Tree}
}

Keywords: Local Search, PTAS, Facility Location, k-Median, TSP, Steiner Tree
Collection: 31st International Symposium on Computational Geometry (SoCG 2015)
Issue Date: 2015
Date of publication: 12.06.2015

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