Nothing Special   »   [go: up one dir, main page]

skip to main content
article

Impossibility of gathering by a set of autonomous mobile robots

Published: 01 October 2007 Publication History

Abstract

Given a set of n autonomous mobile robots that can freely move on a two dimensional plane, they are required to gather in a position on the plane not fixed in advance (Gathering Problem). The main research question we address in this paper is: Under which conditions can this task be accomplished by the robots? The studied robots are quite simple: they are anonymous, totally asynchronous, they do not have any memory of past computations, they cannot explicitly communicate between each other. We show that this simple task cannot be in general accomplished by the considered system of robots.

References

[1]
N. Agmon, D. Peleg, Fault tolerant gathering algorithms for autonomous mobile robots, in: Proc. 15th Symposium on Discrete Algorithms, SODA 2004, 2004 pp. 1063-1071
[2]
Ando, H., Oasa, Y., Suzuki, I. and Yamashita, M., A distributed memoryless point convergence algorithm for mobile robots with limited visibility. IEEE Transactions on Robotics and Automation. v15 i5. 818-828.
[3]
Cieliebak, M., Gathering non-oblivious mobile robots. In: LNCS, vol. 2976. pp. 577-588.
[4]
M. Cieliebak, P. Flocchini, G. Prencipe, N. Santoro, Solving the gathering problem, in: Proc. 30th International Colloquium on Automata, Languages and Programming, ICALP -03, 2003, pp. 1181-1196
[5]
R. Cohen, D. Peleg, Convergence properties of the gravitational algorithm in asynchronous robot systems, in: Proc. 12th Annual European Symposium on Algorithms, ESA -04, 2004, pp. 228-239
[6]
R. Cohen, D. Peleg, Robot convergence via center-of-gravity algorithms, in: Proc. 11th International Colloquium On Structural Information And Communication Complexity, SIROCCO 11, 2004, pp. 79-88
[7]
R. Cohen, D. Peleg, Convergence of autonomous mobile robots with inaccurate sensors and movements, in: Proc. 23rd Annual Symposium on Theoretical Aspects of Computer Science, STACS -06, 2006, pp. 549-560
[8]
Flocchini, P., Prencipe, G., Santoro, N. and Widmayer, P., Hard tasks for weak robots: The role of common knowledge in pattern formation by autonomous mobile robots. In: LNCS, vol. 1741. pp. 93-102.
[9]
Flocchini, P., Prencipe, G., Santoro, N. and Widmayer, P., Gathering of autonomous mobile robots with limited visibility. In: LNCS, vol. 2010. pp. 247-258.
[10]
Prencipe, G., The effect of synchronicity on the behavior of autonomous mobile robots. Theory of Computing Systems. v38. 539-558.
[11]
Suzuki, I. and Yamashita, M., Distributed anonymous mobile robots: Formation of geometric patterns. SIAM Journal of Computing. v28 i4. 1347-1363.

Cited By

View all
  • (2024)On the power of bounded asynchrony: convergence by autonomous robots with limited visibilityDistributed Computing10.1007/s00446-024-00463-737:3(279-308)Online publication date: 9-Apr-2024
  • (2023)Unifying Gathering Protocols for Swarms of Mobile RobotsAlgorithms and Complexity10.1007/978-3-031-30448-4_1(5-16)Online publication date: 13-Jun-2023
  • (2022)Asynchronous Line Formation in Presence of Faulty RobotsProceedings of the 9th International Conference on Networking, Systems and Security10.1145/3569551.3569553(75-82)Online publication date: 20-Dec-2022
  • Show More Cited By

Recommendations

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image Theoretical Computer Science
Theoretical Computer Science  Volume 384, Issue 2-3
October, 2007
150 pages

Publisher

Elsevier Science Publishers Ltd.

United Kingdom

Publication History

Published: 01 October 2007

Author Tags

  1. Computability
  2. Distributed coordination
  3. Distributed models
  4. Gathering
  5. Mobile robots

Qualifiers

  • Article

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)0
  • Downloads (Last 6 weeks)0
Reflects downloads up to 20 Nov 2024

Other Metrics

Citations

Cited By

View all
  • (2024)On the power of bounded asynchrony: convergence by autonomous robots with limited visibilityDistributed Computing10.1007/s00446-024-00463-737:3(279-308)Online publication date: 9-Apr-2024
  • (2023)Unifying Gathering Protocols for Swarms of Mobile RobotsAlgorithms and Complexity10.1007/978-3-031-30448-4_1(5-16)Online publication date: 13-Jun-2023
  • (2022)Asynchronous Line Formation in Presence of Faulty RobotsProceedings of the 9th International Conference on Networking, Systems and Security10.1145/3569551.3569553(75-82)Online publication date: 20-Dec-2022
  • (2021)Min-Max Gathering of Oblivious RobotsProceedings of the 33rd ACM Symposium on Parallelism in Algorithms and Architectures10.1145/3409964.3461829(420-422)Online publication date: 6-Jul-2021
  • (2021)Asynchronous Gathering Algorithms for Autonomous Mobile Robots with LightsStabilization, Safety, and Security of Distributed Systems10.1007/978-3-030-91081-5_27(410-424)Online publication date: 17-Nov-2021
  • (2021)Stand up Indulgent GatheringAlgorithms for Sensor Systems10.1007/978-3-030-89240-1_2(17-28)Online publication date: 9-Sep-2021
  • (2020)Conic Formation in Presence of Faulty RobotsAlgorithms for Sensor Systems10.1007/978-3-030-62401-9_12(170-185)Online publication date: 9-Sep-2020
  • (2020)Efficient Dispersion on an Anonymous Ring in the Presence of Weak Byzantine RobotsAlgorithms for Sensor Systems10.1007/978-3-030-62401-9_11(154-169)Online publication date: 9-Sep-2020
  • (2019)The topology of look-compute-move robot wait-free algorithms with hard terminationDistributed Computing10.1007/s00446-018-0345-332:3(235-255)Online publication date: 1-Jun-2019
  • (2019)Synchronous Gathering without Multiplicity DetectionTheory of Computing Systems10.1007/s00224-017-9828-z63:2(200-218)Online publication date: 1-Feb-2019
  • Show More Cited By

View Options

View options

Login options

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media