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Self-stabilizing c-wave algorithms for arbitrary networks

Self-stabilizing c-wave algorithms for arbitrary networks In this paper, we propose the first self-stabilizing c-wave algorithm for broadcasting large size messages from multiple initiator processes such that every process receives at least one of these messages broadcast by the initiators. The proposed algorithm first splits each message into a sequence of message shares and then broadcasts the message shares in a pipelined manner in order. We then present an improved maximally concurrent self-stabilizing c-wave algorithm called dynamic clusteringc-wavealgorithm that constructs dynamic broadcast trees by allowing a process to dynamically change its parent to a neighbouring process with the most message shares to implement a maximally concurrent broadcasting of large size messages. The improved algorithm is maximally concurrent in the sense that a process is allowed to receive a message share from any neighbouring process with a larger sequence of message shares than its current parent from which it receives message shares in the broadcast trees constructed by the initiators when available. We implemented and experimentally evaluated the c-wave algorithm to compare its message propagation delay to those of the m and the k-wave algorithms. Simulation results show that the proposed algorithm significantly reduces the broadcast propagation delays compared to that of the m and the k-wave algorithms. The improvement is more evident over the m-wave algorithm. Solutions to global-snapshots, distributed broadcast and various synchronization problems can be solved efficiently using c-wave algorithms. In addition, the proposed algorithms have applications in blockchain, mobile wireless sensor networks, VANETs and military communication networks. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computing Springer Journals

Self-stabilizing c-wave algorithms for arbitrary networks

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Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
ISSN
0010-485X
eISSN
1436-5057
DOI
10.1007/s00607-022-01110-4
Publisher site
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Abstract

In this paper, we propose the first self-stabilizing c-wave algorithm for broadcasting large size messages from multiple initiator processes such that every process receives at least one of these messages broadcast by the initiators. The proposed algorithm first splits each message into a sequence of message shares and then broadcasts the message shares in a pipelined manner in order. We then present an improved maximally concurrent self-stabilizing c-wave algorithm called dynamic clusteringc-wavealgorithm that constructs dynamic broadcast trees by allowing a process to dynamically change its parent to a neighbouring process with the most message shares to implement a maximally concurrent broadcasting of large size messages. The improved algorithm is maximally concurrent in the sense that a process is allowed to receive a message share from any neighbouring process with a larger sequence of message shares than its current parent from which it receives message shares in the broadcast trees constructed by the initiators when available. We implemented and experimentally evaluated the c-wave algorithm to compare its message propagation delay to those of the m and the k-wave algorithms. Simulation results show that the proposed algorithm significantly reduces the broadcast propagation delays compared to that of the m and the k-wave algorithms. The improvement is more evident over the m-wave algorithm. Solutions to global-snapshots, distributed broadcast and various synchronization problems can be solved efficiently using c-wave algorithms. In addition, the proposed algorithms have applications in blockchain, mobile wireless sensor networks, VANETs and military communication networks.

Journal

Computing – Springer Journals

Published: Jan 1, 2023

Keywords: c-wave; Distributed computing; Multi-node broadcast; m-wave; Self-stabilization; Wave algorithms; 68M12; 68M14; 68W15

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