Abstract
In this work, we address the problem of (n, f)-evacuation on a circle, which involves evacuating n robots, with f of them being faulty, from a hidden exit located on the perimeter of a unit radius circle. The robots commence at the center of the circle and possess a speed of 1.
We introduce an algorithm for the Wireless communication model under any number of Byzantine faults. We analyze the time requirements of our proposed algorithm and we establish an upper bound on its performance.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Note that in fact we represent the circle points in polar coordinates; as the radius is always equal to 1 we give only their angle, for the sake of simplicity.
References
Beck, A.: On the linear search problem. Israel J. Math. 2(4), 221–228 (1964)
Bellman, R.: An optimal search. SIAM Rev. 5(3), 274–274 (1963)
Baeza Yates, R., Culberson, J., Rawlins, G.: Searching in the plane. Inf. Comput. 106(2), 234–252 (1993)
Ahlswede, R., Wegener, I.: Search Problems. Wiley-Interscience (1987)
Alpern, S., Gal, S.: The Theory of Search Games and Rendezvous, vol. 55. Springer, New York (2003). https://doi.org/10.1007/b100809
Stone, L.: Theory of Optimal Search. Academic Press, New York (1975)
Kao, M.-Y., Reif, J.H., Tate, S.R.: Searching in an unknown environment: an optimal randomized algorithm for the cow-path problem. Inf. Comput. 131(1), 63–79 (1996)
Demaine, E.D., Fekete, S.P., Gal, S.: Online searching with turn cost. Theoret. Comput. Sci. 361(2), 342–355 (2006)
Czyzowicz, J., Kranakis, E., Krizanc, D., Narayanan, L., Opatrny, J.: Search on a line with faulty robots. Distrib. Comput. 32(6), 493–504 (2019)
Czyzowicz, J., et al.: Search on a line by byzantine robots. In: ISAAC, pp. 27:1–27:12 (2016)
Czyzowicz, J., Gąsieniec, L., Gorry, T., Kranakis, E., Martin, R., Pajak, D.: Evacuating robots via unknown exit in a disk. In: Kuhn, F. (ed.) DISC 2014. LNCS, vol. 8784, pp. 122–136. Springer, Heidelberg (2014). https://doi.org/10.1007/978-3-662-45174-8_9
Czyzowicz, J., Georgiou, K., Kranakis, E., Narayanan, L., Opatrny, J., Vogtenhuber, B.: Evacuating using face-to-face communication, CoRR abs/1501.04985
Czyzowicz, J., Kranakis, E., Krizanc, D., Narayanan, L., Opatrny, J., Shende, S.: Wireless autonomous robot evacuation from equilateral triangles and squares. In: Papavassiliou, S., Ruehrup, S. (eds.) ADHOC-NOW 2015. LNCS, vol. 9143, pp. 181–194. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-19662-6_13
Georgiou, K., Leizerovich, S., Lucier, J., Kundu, S.: Evacuating from \(l_p\) unit disks in the wireless model. Theor. Comput. Sci. 944, 113675 (2023)
Georgiou, K., Giachoudis, N., Kranakis, E.: Evacuation from a disk for robots with asymmetric communication. In: 33rd International Symposium on Algorithms and Computation (ISAAC 2022). Leibniz International Proceedings in Informatics (LIPIcs), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, Dagstuhl, Germany, vol. 248, pp. 19:1–19:16 (2022)
Czyzowicz, J., Georgiou, K., Kranakis, E.: Group search and evacuation. In: Flocchini, P., Prencipe, G., Santoro, N. (eds.) Distributed Computing by Mobile Entities. LNCS, vol. 11340, pp. 335–370. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-11072-7_14
Georgiou, K., Kranakis, E., Leonardos, N., Pagourtzis, A., Papaioannou, I.: Optimal circle search despite the presence of faulty robots. Inf. Process. Lett. 182, 106391 (2023)
Czyzowicz, J., et al.: Evacuation from a disc in the presence of a faulty robot. In: Das, S., Tixeuil, S. (eds.) SIROCCO 2017. LNCS, vol. 10641, pp. 158–173. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-72050-0_10
Leonardos, N., Pagourtzis, A., Papaioannou, I.: Byzantine fault tolerant symmetric-persistent circle evacuation. Theoret. Comput. Sci. 956, 113839 (2023)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Behrouz, P., Konstantinidis, O., Leonardos, N., Pagourtzis, A., Papaioannou, I., Spyrakou, M. (2023). Byzantine Fault-Tolerant Protocols for (n, f)-Evacuation from a Circle. In: Georgiou, K., Kranakis, E. (eds) Algorithmics of Wireless Networks. ALGOWIN 2023. Lecture Notes in Computer Science, vol 14061. Springer, Cham. https://doi.org/10.1007/978-3-031-48882-5_7
Download citation
DOI: https://doi.org/10.1007/978-3-031-48882-5_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-48881-8
Online ISBN: 978-3-031-48882-5
eBook Packages: Computer ScienceComputer Science (R0)