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arXiv · 1807.05674

An asynchronous message-passing distributed algorithm for the global critical section problem

Sayaka Kamei·Hirotsugu Kakugawa
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Abstract

This paper considers the global $(l,k)$-CS problem which is the problem of controlling the system in such a way that, at least $l$ and at most $k$ processes must be in the CS at a time in the network. In this paper, a distributed solution is proposed in the asynchronous message-passing model. Our solution is a versatile composition method of algorithms for $l$-mutual inclusion and $k$-mutual exclusion. Its message complexity is $O(|Q|)$, where $|Q|$ is the maximum size for the quorum of a coterie used by the algorithm, which is typically $|Q| = \sqrt{n}$.

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Sayaka Kamei, Hirotsugu Kakugawa. 2018-07-16. An asynchronous message-passing distributed algorithm for the global critical section problem. https://arxiv.org/abs/1807.05674

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