Maximum Number of Line Faults in a P2P Network System Based on the Addition-Min Fuzzy Relation Inequalities

The addition-min fuzzy relation inequalities could be applied to characterize the peer-to-peer (P2P) network system. This article focuses on the problem that how many arbitrary (or specific) line faults a P2P network system is able to bear at most. In order to find the maximum number of tolerant lin...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems Vol. 30; no. 7; pp. 2241 - 2253
Main Authors: Yang, Xiao-Peng, Zheng, Gengzhong
Format: Journal Article
Language:English
Published: New York IEEE 01.07.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Addition-min composition
Algorithms
Bandwidth
Data communication
Fault tolerance
Faults
fuzzy relation inequality
Indexes
Inequalities
Linear programming
Optimization
Peer to peer computing
peer-to-peer (P2P) network system
Programming
reordered-vector-based (RVB) algorithm
Social networks
tolerant line faults
ISSN:1063-6706, 1941-0034
Online Access:Get full text
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Summary:The addition-min fuzzy relation inequalities could be applied to characterize the peer-to-peer (P2P) network system. This article focuses on the problem that how many arbitrary (or specific) line faults a P2P network system is able to bear at most. In order to find the maximum number of tolerant line faults, we first study the consistency checking of the P2P network system with a given number of arbitrary line faults. Corresponding properties and illustrative example are also presented. Furthermore, the so-called reordered-vector-based (RVB) algorithms I and II are proposed for searching the maximum number of arbitrary and specific line faults in a given P2P network system, respectively. The validness of our proposed RVB algorithms is verified by formally proving and some numerical examples.
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ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2021.3078529