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2018 | OriginalPaper | Chapter

FSSP Algorithms for 2D Rectangular Arrays. Recent Developments

Author : Hiroshi Umeo

Published in: Reversibility and Universality

Publisher: Springer International Publishing

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Abstract

Synchronization of large-scale networks is an important and fundamental computing primitive in parallel and distributed systems. The synchronization in cellular automata, known as the Firing Squad Synchronization Problem (FSSP), has been studied extensively for more than fifty years, and a rich variety of synchronization algorithms has been proposed. In this article, we give a survey on a class of minimum-time FSSP algorithms for two-dimensional (2D) rectangular arrays. The algorithms discussed here are all based on an L-shaped mapping, where the synchronized configurations on 1D arrays are mapped efficiently onto a 2D array in an L-shaped form, yielding a 2D minimum-time FSSP algorithm.

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Metadata
Title
FSSP Algorithms for 2D Rectangular Arrays. Recent Developments
Author
Hiroshi Umeo
Copyright Year
2018
DOI
https://doi.org/10.1007/978-3-319-73216-9_2

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