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.2015.16
URN: urn:nbn:de:0030-drops-50870
URL: https://drops.dagstuhl.de/opus/volltexte/2015/5087/
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Becker, Aaron T. ; Demaine, Erik D. ; Fekete, Sándor P. ; Shad, Hamed Mohtasham ; Morris-Wright, Rose

Tilt: The Video - Designing Worlds to Control Robot Swarms with Only Global Signals

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Abstract

We present fundamental progress on the computational universality of swarms of micro- or nano-scale robots in complex environments, controlled not by individual navigation, but by a uniform global, external force. More specifically, we consider a 2D grid world, in which all obstacles and robots are unit squares, and for each actuation, robots move maximally until they collide with an obstacle or another robot. The objective is to control robot motion within obstacles, design obstacles in order to achieve desired permutation of robots, and establish controlled interaction that is complex enough to allow arbitrary computations. In this video, we illustrate progress on all these challenges: we demonstrate NP-hardness of parallel navigation, we describe how to construct obstacles that allow arbitrary permutations, and we establish the necessary logic gates for performing arbitrary in-system computations.

BibTeX - Entry

@InProceedings{becker_et_al:LIPIcs:2015:5087,
  author =	{Aaron T. Becker and Erik D. Demaine and S{\'a}ndor P. Fekete and Hamed Mohtasham Shad and Rose Morris-Wright},
  title =	{{Tilt: The Video - Designing Worlds to Control Robot Swarms with Only Global Signals}},
  booktitle =	{31st International Symposium on Computational Geometry (SoCG 2015)},
  pages =	{16--18},
  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/2015/5087},
  URN =		{urn:nbn:de:0030-drops-50870},
  doi =		{10.4230/LIPIcs.SOCG.2015.16},
  annote =	{Keywords: Particle swarms, global control, complexity, geometric computation}
}

Keywords: Particle swarms, global control, complexity, geometric computation
Collection: 31st International Symposium on Computational Geometry (SoCG 2015)
Issue Date: 2015
Date of publication: 12.06.2015


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