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The group mutual exclusion problem is a generalization of mutual exclusion problem such that a set of processes in the same group can enter critical section simultaneously. In this paper, we propose a distributed algorithm for the group mutual exclusion problem in asynchronous message passing distributed systems. Our algorithm is based on tokens, and a process that obtains a token can enter critical section. For reducing message complexity, it uses coterie as a communication structure when a process sends a request messages. Informally, coterie is a set of quorums, each of which is a subset of the process set, and any two quorums share at least one process. The message complexity of our algorithm is $O(|Q|)$ in the worst case, where $|Q|$ is a quorum size that the algorithm adopts. Performance of the proposed algorithm is presented by analysis and discrete event simulation. Especially, the proposed algorithm achieves high concurrency, which is a performance measure for the number of processes that can be in critical section simultaneously.
Distributed systems, Distributed data structures, Mutual exclusion, Synchronization
Toshimitsu Masuzawa, Hirotsugu Kakugawa, Sayaka Kamei, "A Token-Based Distributed Group Mutual Exclusion Algorithm with Quorums", IEEE Transactions on Parallel & Distributed Systems, vol. 19, no. , pp. 1153-1166, September 2008, doi:10.1109/TPDS.2008.22
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