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Brief Announcement: Optimal Asynchronous Rendezvous for Mobile Robots with Lights

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10616)

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.

Notes

Acknowledgment

This work is supported in part by KAKENHI no. 17K00019 and 15K00011.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Takashi Okumura
    • 1
  • Koichi Wada
    • 2
  • Yoshiaki Katayama
    • 3
  1. 1.Graduate School of Science and EngineeringHosei UniversityTokyoJapan
  2. 2.Faculty of Science and EngineeringHosei UniversityTokyoJapan
  3. 3.Graduate School of EngineeringNagoya Institute of TechnologyNagoyaJapan

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