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Fault-Tolerant Gathering of Asynchronous Oblivious Mobile Robots under One-Axis Agreement

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WALCOM: Algorithms and Computation (WALCOM 2015)

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Abstract

In this paper, we have studied one of the fundamental coordination problems for multi robot system, namely gathering, for n ≥ 2 asynchronous, oblivious mobile robots in the presence of f < n faulty robots. Earlier works have reported that, in general, to solve gathering problem for asynchronous robots, many assumptions are required, like multiplicity detection or total agreement in coordinate axis or constant amount of memory bits. However, in this paper we have proved that gathering of asynchronous robots is possible with less number of such assumptions and even in the presence of any number of faulty robots. In our case, the robots only agree on the direction and orientation of any one axis.

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References

  1. Agmon, N., Peleg, D.: Fault-tolerant gathering algorithms for autonomous mobile robots. In: Proceedings of the Fifteenth Annual ACM-SIAM Symposium on Discrete Algorithms, SODA, pp. 1070–1078. Society for Industrial and Applied Mathematics, Philadelphia (2004)

    Google Scholar 

  2. Bouzid, Z., Das, S., Tixeuil, S.: Wait-free gathering of mobile robots. CoRR, abs/1207.0226 (2012)

    Google Scholar 

  3. Bouzid, Z., Das, S., Tixeuil, S.: Gathering of mobile robots tolerating multiple crash faults. In: 2013 IEEE 33rd International Conference on Distributed Computing Systems (ICDCS), pp. 337–346 (July 2013)

    Google Scholar 

  4. Cieliebak, M., Flocchini, P., Prencipe, G., Santoro, N.: Solving the robots 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)

    Chapter  Google Scholar 

  5. Cieliebak, M., Flocchini, P., Prencipe, G., Santoro, N.: Distributed computing by mobile robots: Gathering. SIAM Journal on Computing 41(4), 829–879 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  6. Cieliebak, M., Prencipe, G.: Gathering autonomous mobile robots. In: In Proc. SIROCCO, pp. 57–72 (2002)

    Google Scholar 

  7. Cohen, R., Peleg, D.: Convergence properties of the gravitational algorithm in asynchronous robot systems. SIAM Journal on Computing 34(6), 1516–1528 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  8. Défago, X., Gradinariu, M., Messika, S., Raipin-Parvédy, P.: Fault-tolerant and self-stabilizing mobile robots gathering. In: Dolev, S. (ed.) DISC 2006. LNCS, vol. 4167, pp. 46–60. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  9. Degener, B., Kempkes, B., Langner, T., Meyer auf der Heide, F., Pietrzyk, P., Wattenhofer, R.: A tight runtime bound for synchronous gathering of autonomous robots with limited visibility. In: Proceedings of the 23rd ACM Symposium on Parallelism in Algorithms and Architectures, SPAA 2011, pp. 139–148. ACM Press, New York (2011)

    Google Scholar 

  10. Dieudonné, Y., Petit, F.: Self-stabilizing gathering with strong multiplicity detection. Theoretical Computer Science 428(0), 47–57 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  11. Flocchini, P., Prencipe, G., Santoro, N.: Distributed Computing by Oblivious Mobile Robots. Synthesis Lectures on Distributed Computing Theory. Morgan & Claypool Publishers (2012)

    Google Scholar 

  12. Flocchini, P., Prencipe, G., Santoro, N., Widmayer, P.: Gathering of asynchronous robots with limited visibility. Theoretical Computer Science 337(1-3), 147–168 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  13. Flocchini, P., Prencipe, G., Santoro, N., Widmayer, P.: Arbitrary pattern formation by asynchronous, anonymous, oblivious robots. Theor. Comput. Sci. 407(1-3), 412–447 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  14. Flocchini, P., Santoro, N., Viglietta, G., Yamashita, M.: Rendezvous of two robots with constant memory. In: Moscibroda, T., Rescigno, A.A. (eds.) SIROCCO 2013. LNCS, vol. 8179, pp. 189–200. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  15. Gordon, N., Elor, Y., Bruckstein, A.: Gathering multiple robotic agents with crude distance sensing capabilities. In: Dorigo, M., Birattari, M., Blum, C., Clerc, M., Stützle, T., Winfield, A.F.T. (eds.) ANTS 2008. LNCS, vol. 5217, pp. 72–83. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  16. Izumi, T., Katayama, Y., Inuzuka, N., Wada, K.: Gathering autonomous mobile robots with dynamic compasses: An optimal result. In: Pelc, A. (ed.) DISC 2007. LNCS, vol. 4731, pp. 298–312. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  17. Katayama, Y., Tomida, Y., Imazu, H., Inuzuka, N., Wada, K.: Dynamic compass models and gathering algorithms for autonomous mobile robots. In: Prencipe, G., Zaks, S. (eds.) SIROCCO 2007. LNCS, vol. 4474, pp. 274–288. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  18. Prencipe, G.: Instantaneous actions vs. full asynchronicity: Controlling and coordinating a set of autonomous mobile robots. In: Restivo, A., Ronchi Della Rocca, S., Roversi, L. (eds.) ICTCS 2001. LNCS, vol. 2202, pp. 154–171. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  19. Prencipe, G.: Impossibility of gathering by a set of autonomous mobile robots. Theoretical Computer Science 384(2-3), 222–231 (2007); Structural Information and Communication Complexity (SIROCCO 2005)

    Google Scholar 

  20. Suzuki, I., Yamashita, M.: Formation and agreement problems for anonymous mobile robots. In: Proc. 31st Annual Conference on Communication, Control and Computing, pp. 93–102 (1993)

    Google Scholar 

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Bhagat, S., Gan Chaudhuri, S., Mukhopadhyaya, K. (2015). Fault-Tolerant Gathering of Asynchronous Oblivious Mobile Robots under One-Axis Agreement. In: Rahman, M.S., Tomita, E. (eds) WALCOM: Algorithms and Computation. WALCOM 2015. Lecture Notes in Computer Science, vol 8973. Springer, Cham. https://doi.org/10.1007/978-3-319-15612-5_14

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  • DOI: https://doi.org/10.1007/978-3-319-15612-5_14

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-15611-8

  • Online ISBN: 978-3-319-15612-5

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