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Paper Abstract and Keywords
Presentation 2020-05-09 16:15
Gathering for mobile agents with a strong team in weakly Byzantine environments
Jion Hirose, Masashi Tsuchida (NAIST), Junya Nakamura (TUT), Fukuhito Ooshita, Michiko Inoue (NAIST) COMP2020-2
Abstract (in Japanese) (See Japanese page) 
(in English) We study the gathering problem requiring a team of mobile agents to gather at a single node in arbitrary networks. The team consists of $k$ agents with unique identifiers (IDs), and $f$ of them are weakly Byzantine agents, which behave arbitrarily except falsifying their identifiers. The agents move in synchronous rounds and cannot leave any information on nodes. If the number of nodes $n$ is given to agents, the existing fastest algorithm tolerates any number of weakly Byzantine agents and achieves gathering with simultaneous termination in $O(n^4cdot|Lambda_{good}|cdot X(n))$ rounds, where $|Lambda_{good}|$ is the length of the maximum ID of non-Byzantine agents and $X(n)$ is the number of rounds required to explore any network composed of $n$ nodes. In this paper, we ask the question of whether we can reduce the time complexity if we have a strong team, i.e., a team with a few Byzantine agents, because not so many agents are subject to faults in practice. We give a positive answer to this question by proposing two algorithms in the case of $4f^2+9f+4leq k$. The first algorithm achieves gathering with non-simultaneous termination in $O((f+|Lambda_{good}|)cdot X(N))$ rounds, where $N$ is the given upper bound of $n$. The second algorithm achieves gathering with simultaneous termination in $O((f+|Lambda_{all}|)cdot X(N))$ rounds, where $|Lambda_{all}|$ is the length of the maximum ID of all agents. This algorithm significantly reduces the time complexity compared to the existing one if $|Lambda_{all}|=O(|Lambda_{good}|)$ holds.
Keyword (in Japanese) (See Japanese page) 
(in English) Mobile agents / Gathering / Byzantine faults / Deterministic algorithm / / / /  
Reference Info. IEICE Tech. Rep., vol. 120, no. 13, COMP2020-2, pp. 9-16, May 2020.
Paper # COMP2020-2 
Date of Issue 2020-05-02 (COMP) 
ISSN Online edition: ISSN 2432-6380
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee COMP IPSJ-AL  
Conference Date 2020-05-09 - 2020-05-09 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2020-05-COMP 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Gathering for mobile agents with a strong team in weakly Byzantine environments 
Sub Title (in English)  
Keyword(1) Mobile agents  
Keyword(2) Gathering  
Keyword(3) Byzantine faults  
Keyword(4) Deterministic algorithm  
1st Author's Name Jion Hirose  
1st Author's Affiliation Nara Institute of Science and Technology (NAIST)
2nd Author's Name Masashi Tsuchida  
2nd Author's Affiliation Nara Institute of Science and Technology (NAIST)
3rd Author's Name Junya Nakamura  
3rd Author's Affiliation Toyohashi University of Technology (TUT)
4th Author's Name Fukuhito Ooshita  
4th Author's Affiliation Nara Institute of Science and Technology (NAIST)
5th Author's Name Michiko Inoue  
5th Author's Affiliation Nara Institute of Science and Technology (NAIST)
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Speaker Author-1 
Date Time 2020-05-09 16:15:00 
Presentation Time 25 minutes 
Registration for COMP 
Paper # COMP2020-2 
Volume (vol) vol.120 
Number (no) no.13 
Page pp.9-16 
Date of Issue 2020-05-02 (COMP) 

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