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 of the plane not fixed in advance (Gathering Problem). The main research question we address in this paper is: under which conditions this task can 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 among each other. We show that this simple task cannot be in general accomplished by the considered system of robots.
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References
Agmon, N., Peleg, D.: Fault Tolerant Gathering Algorithms for Autonomous Mobile Robots. In: Proc. 15th Symposium on Discrete Algorithms (SODA 2004), pp. 1063–1071 (2004)
Ando, H., Oasa, Y., Suzuki, I., Yamashita, M.: A Distributed Memoryless Point Convergence Algorithm for Mobile Robots with Limited Visibility. IEEE Transactions on Robotics and Automation 15(5), 818–828 (1999)
Cieliebak, M.: Gathering non-oblivious mobile robots. In: Farach-Colton, M. (ed.) LATIN 2004. LNCS, vol. 2976, pp. 577–588. Springer, Heidelberg (2004)
Cieliebak, M., Flocchini, P., Prencipe, G., Santoro, N.: Solving The Gathering Problem. In: Baeten, J.C.M., Lenstra, J.K., Parrow, J., Woeginger, G.J. (eds.) ICALP 2003. LNCS, vol. 2719, pp. 1181–1196. Springer, Heidelberg (2003)
Cieliebak, M., Prencipe, G.: Gathering Autonomous Mobile Robots. In: Proc. of 9th International Colloquium on Structural Information And Communication Complexity (SIROCCO 9), June 2002, pp. 57–72 (2002)
Cohen, R., Peleg, D.: Robot Convergence via Center-of-gravity Algorithms. In: Proc. 11th International Colloquium On Structural Information And Communication Complexity (SIROCCO 11), pp. 79–88 (2004)
Flocchini, P., Prencipe, G., Santoro, N., Widmayer, P.: Hard Tasks for Weak Robots: The Role of Common Knowledge in Pattern Formation by Autonomous Mobile Robots. In: Aggarwal, A.K., Pandu Rangan, C. (eds.) ISAAC 1999. LNCS, vol. 1741, pp. 93–102. Springer, Heidelberg (1999)
Flocchini, P., Prencipe, G., Santoro, N., Widmayer, P.: Gathering of Autonomous Mobile Robots With Limited Visibility. In: Ferreira, A., Reichel, H. (eds.) STACS 2001. LNCS, vol. 2010, pp. 247–258. Springer, Heidelberg (2001)
Prencipe, G.: The Effect of Synchronicity on the Behavior of Autonomous Mobile Robots. In: Theory of Computing Systems (2004) (accepted for publication)
Suzuki, I., Yamashita, M.: Distributed Anonymous Mobile Robots: Formation of Geometric Patterns. SIAM Journal of Computing 28(4), 1347–1363 (1999)
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Prencipe, G. (2005). On the Feasibility of Gathering by Autonomous Mobile Robots. In: Pelc, A., Raynal, M. (eds) Structural Information and Communication Complexity. SIROCCO 2005. Lecture Notes in Computer Science, vol 3499. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11429647_20
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DOI: https://doi.org/10.1007/11429647_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26052-3
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