Plane formation by synchronous mobile robots without chirality

Yusaku Tomita, Yukiko Yamauchi, Shuji Kijima, Masafumi Yamashita

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

4 被引用数 (Scopus)

抄録

We consider a distributed system consisting of autonomous mobile computing entities called robots moving in the three-dimensional space (3D-space). The robots are anonymous, oblivious, fully-synchronous and have neither any access to the global coordinate system nor any explicit communication medium. Each robot cooperates with other robots by observing the positions of other robots in its local coordinate system. One of the most fundamental agreement problems in 3D-space is the plane formation problem that requires the robots to land on a common plane, that is not predefined. This problem is not always solvable because of the impossibility of symmetry breaking. While existing results assume that the robots agree on the handedness of their local coordinate systems, we remove the assumption and consider the robots without chirality. The robots without chirality can never break the symmetry consisting of rotation symmetry and reflection symmetry. Such symmetry in 3D-space is fully described by 17 symmetry types each of which forms a group. We extend the notion of symmetricity [Suzuki and Yamashita, SIAM J. Compt. 1999] [Yamauchi et al., PODC 2016] to cover these 17 symmetry groups. Then we give a characterization of initial configurations from which the fully-synchronous robots without chirality can form a plane in terms of symmetricity.

本文言語英語
ホスト出版物のタイトル21st International Conference on Principles of Distributed Systems, OPODIS 2017
編集者James Aspnes, Joao Leitao, Alysson Bessani, Pascal Felber
出版社Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
ISBN(電子版)9783959770613
DOI
出版ステータス出版済み - 3 1 2018
イベント21st International Conference on Principles of Distributed Systems, OPODIS 2017 - Lisboa, ポルトガル
継続期間: 12 18 201712 20 2017

出版物シリーズ

名前Leibniz International Proceedings in Informatics, LIPIcs
95
ISSN(印刷版)1868-8969

その他

その他21st International Conference on Principles of Distributed Systems, OPODIS 2017
国/地域ポルトガル
CityLisboa
Period12/18/1712/20/17

All Science Journal Classification (ASJC) codes

  • ソフトウェア

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