Abstract
We study a Rendezvous problem for 2 autonomous mobile robots in asynchronous settings with persistent memory called light. It is well known that Rendezvous is impossible when robots have no lights in basic common models, even if the system is semi-synchronous. On the other hand, Rendezvous is possible if robots have lights with a constant number of colors in several types of lights [4, 10]. In asynchronous settings, Rendezvous can be solved by robots with 3 colors of lights in non-rigid movement and with 2 colors of lights in rigid movement, respectively [10], if robots can use not only own light but also other robot’s light (full-light), where non-rigid movement means robots may be stopped before reaching the computed destination but can move a minimum distance \(\delta >0\) and rigid movement means robots always reach the computed destination. In semi-synchronous settings, Rendezvous can be solved with 2 colors of full-lights in non-rigid movement.
In this paper, we show that in asynchronous settings, Rendezvous can be solved with 2 colors of full-lights in non-rigid movement if robots know the value of the minimum distance \(\delta \). We also show that Rendezvous can be solved with 2 colors of full-lights in non-rigid movement if we consider some reasonable restricted class of asynchronous settings.
References
Agmon, N., Peleg, D.: Fault-tolerant gathering algorithms for autonomous mobile robots. SIAM J. Comput. 36, 56–82 (2006)
Défago, X., Gradinariu Potop-Butucaru, M., Clément, J., Messika, S., Raipin Parvédy, P.: Fault and byzantine tolerant self-stabilizing mobile robots gathering - feasibility study -. CoRRabs/1602.05546 (2016)
Flocchini, P., Prencipe, G., Santoro, N.: Distributed computing by oblivious mobile robots. Synth. Lect. Distrib. Comput. Theor. 10, 1–171 (2012). Morgan & Claypool
Flocchini, P., Santoro, N., Viglietta, G., Yamashita, M.: Rendezvous with constant memory. Theoret. Comput. Sci. 621, 57–72 (2016)
Heriban, A., Défago, X., Tixeuil, S.: Optimally gathering two robots. Research report, HAL Id: hal-01575451, UPMC Sorbonne Universités, August 2017
Izumi, T., Souissi, S., Katayama, Y., Inuzuka, N., Défago, X., Wada, K., Yamashita, M.: The gathering problem for two oblivious robots with unreliable compasses. SIAM J. Comput. 41(1), 26–46 (2012)
Okumura, T., Wada, K., Katayama, Y.: Optimal asynchronous rendezvous for mobile robots with lights. Technical report, arXiv:1707.04449v1, July 2017
Prencipe, G.: Impossibility of gathering by a set of autonomous mobile robots. Theoret. Comput. Sci. 384(2–3), 222–231 (2007)
Suzuki, I., Yamashita, M.: Distributed anonymous mobile robots: formation of geometric patterns. SIAM J. Comput. 28, 1347–1363 (1999)
Viglietta, G.: Rendezvous of two robots with visible bits. Technical report, arXiv:1211.6039 (2012)
Acknowledgment
This work is supported in part by KAKENHI no. 17K00019 and 15K00011.
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Okumura, T., Wada, K., Katayama, Y. (2017). Brief Announcement: Optimal Asynchronous Rendezvous for Mobile Robots with Lights. In: Spirakis, P., Tsigas, P. (eds) Stabilization, Safety, and Security of Distributed Systems. SSS 2017. Lecture Notes in Computer Science(), vol 10616. Springer, Cham. https://doi.org/10.1007/978-3-319-69084-1_36
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DOI: https://doi.org/10.1007/978-3-319-69084-1_36
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