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DOI: 10.4230/LIPIcs.SoCG.2026.102

Tracking a Set of Moving Objects with Minimal Peak Power (Media Exposition)

Authors: Sándor P. Fekete, Malte Hoffmann, Chek-Manh Loi, and Michael Perk

Published in: LIPIcs, Volume 367, 42nd International Symposium on Computational Geometry (SoCG 2026)

Abstract

A common sensing problem is to use a set of stationary tracking locations to monitor a collection of moving devices. Given n objects that need to be tracked, each following its own trajectory, and m stationary traffic control stations, each with a sensing region that can be changed over time; how should we adjust the individual sensor ranges in order to optimize energy consumption? We illustrate how to combine geometric insights with mathematical optimization to find optimal solutions for the min max variant of the problem, which aims at minimizing peak power consumption. Instances with 500 moving objects and 25 stations can be solved in the order of seconds for scenarios that take minutes to play out in the real world, demonstrating real-time capability of our methods.

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Sándor P. Fekete, Malte Hoffmann, Chek-Manh Loi, and Michael Perk. Tracking a Set of Moving Objects with Minimal Peak Power (Media Exposition). In 42nd International Symposium on Computational Geometry (SoCG 2026). Leibniz International Proceedings in Informatics (LIPIcs), Volume 367, pp. 102:1-102:7, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2026)

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@InProceedings{fekete_et_al:LIPIcs.SoCG.2026.102,
  author =	{Fekete, S\'{a}ndor P. and Hoffmann, Malte and Loi, Chek-Manh and Perk, Michael},
  title =	{{Tracking a Set of Moving Objects with Minimal Peak Power}},
  booktitle =	{42nd International Symposium on Computational Geometry (SoCG 2026)},
  pages =	{102:1--102:7},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-418-5},
  ISSN =	{1868-8969},
  year =	{2026},
  volume =	{367},
  editor =	{Ahn, Hee-Kap and Hoffmann, Michael and Nayyeri, Amir},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2026.102},
  URN =		{urn:nbn:de:0030-drops-259087},
  doi =		{10.4230/LIPIcs.SoCG.2026.102},
  annote =	{Keywords: Set cover, kinetic problems, geometric optimization, exact optimization}
}

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Tracking a Set of Moving Objects with Minimal Peak Power (Media Exposition)

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