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How to Gather Asynchronous Oblivious Robots on Anonymous Rings

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Distributed Computing (DISC 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7611))

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Abstract

A set of robots arbitrarily placed on different nodes of an anonymous ring have to meet at one common node and remain in there. This problem is known in the literature as the gathering. Anonymous and oblivious robots operate in Look-Compute-Move cycles; in one cycle, a robot takes a snapshot of the current configuration (Look), decides whether to stay idle or to move to one of its neighbors (Compute), and in the latter case makes the computed move instantaneously (Move). Cycles are asynchronous among robots. Moreover, each robot is empowered by the so called multiplicity detection capability, that is, it is able to detect during its Look operation whether a node is empty, or occupied by one robot, or occupied by an undefined number of robots greater than one.

The described problem has been extensively studied during the last years. However, the known solutions work only for specific initial configurations and leave some open cases. In this paper, we provide an algorithm which solves the general problem, and is able to detect all the ungatherable configurations. It is worth noting that our new algorithm makes use of a unified and general strategy for any initial configuration, even those left open by previous works.

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Author information

Authors and Affiliations

  1. MASCOTTE Project, INRIA/I3S(CNRS/UNSA), France

    Gianlorenzo D’Angelo

  2. Dipartimento di Ingegneria e Sceinze dell’Informazione e Matematica, Università degli Studi dell’Aquila, Italy

    Gabriele Di Stefano

  3. Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Italy

    Alfredo Navarra

Authors
  1. Gianlorenzo D’Angelo
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  2. Gabriele Di Stefano
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  3. Alfredo Navarra
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Editor information

Editors and Affiliations

  1. Microsoft Corporation, Building SVC6, 1065 La Avenida, 94043, Mountain View, CA, USA

    Marcos K. Aguilera

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© 2012 Springer-Verlag Berlin Heidelberg

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D’Angelo, G., Di Stefano, G., Navarra, A. (2012). How to Gather Asynchronous Oblivious Robots on Anonymous Rings. In: Aguilera, M.K. (eds) Distributed Computing. DISC 2012. Lecture Notes in Computer Science, vol 7611. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33651-5_23

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  • DOI: https://doi.org/10.1007/978-3-642-33651-5_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33650-8

  • Online ISBN: 978-3-642-33651-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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