Self-stabilizing localization of the middle point of a line segment by an oblivious robot with limited visibility

Akihiro Monde, Yukiko Yamauchi, Shuji Kijima, Masafumi Yamashita

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper poses a question about a simple localization problem, which is arisen from self-stabilizing location problems by oblivious mobile autonomous robots with limited visibility. The question is if an oblivious mobile robot on a line-segment can localize the middle point of the line-segment in finite steps observing the direction (i.e., Left or Right) and distance to the nearest end point. This problem is also akin to (a continuous version of) binary search, and could be closely related to computable real functions. Contrary to appearances, it is far from trivial if this simple problem is solvable or not, and unsettled yet. This paper is concerned with three variants of the original problem, minimally relaxing, and presents self-stabilizing algorithms for them. We also show an easy impossibility theorem for bilaterally symmetric algorithms.

Original languageEnglish
Title of host publicationStabilization, Safety, and Security of Distributed Systems - 19th International Symposium, SSS 2017, Proceedings
EditorsPhilippas Tsigas, Paul Spirakis
PublisherSpringer Verlag
Pages172-186
Number of pages15
ISBN (Print)9783319690834
DOIs
Publication statusPublished - Jan 1 2017
Event19th International Symposium on Stabilization, Safety, and Security of Distributed Systems, SSS 2017 - Boston, United States
Duration: Nov 5 2017Nov 8 2017

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10616 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other19th International Symposium on Stabilization, Safety, and Security of Distributed Systems, SSS 2017
CountryUnited States
CityBoston
Period11/5/1711/8/17

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All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Monde, A., Yamauchi, Y., Kijima, S., & Yamashita, M. (2017). Self-stabilizing localization of the middle point of a line segment by an oblivious robot with limited visibility. In P. Tsigas, & P. Spirakis (Eds.), Stabilization, Safety, and Security of Distributed Systems - 19th International Symposium, SSS 2017, Proceedings (pp. 172-186). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10616 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-319-69084-1_12