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Simple Mutual Exclusion Algorithms Based on Bounded Tickets on the Asynchronous Shared Memory Model
Masataka TAKAMURA Yoshihide IGARASHI
Publication
IEICE TRANSACTIONS on Information and Systems
Vol.E86D
No.2
pp.246254 Publication Date: 2003/02/01 Online ISSN:
DOI: Print ISSN: 09168532 Type of Manuscript: Special Section PAPER (Special Issue on Selected Papers from LA Symposium) Category: Parallel/Distributed Algorithms Keyword: asynchronous shared memory model, Bakery algorithm, concurrent computation, distributed algorithms, mutual exclusion,
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Summary:
We propose two simple algorithms based on bounded tickets for the mutual exclusion problem on the asynchronous singlewriter/multireader shared memory model. These algorithms are modifications of the Bakery algorithm. An unattractive property of the Bakery algorithm is that the size of its shared memory is unbounded. Initially we design a provisional algorithm based on bounded tickets. It guarantees mutual exclusion in the case where a certain condition is satisfied. To remove the condition, we use an additional process that does not correspond to any user. The algorithm with the additional process is a lockoutfree mutual exclusion algorithm on the asynchronous singlewriter/multireader shared memory model. We then modify this algorithm to reduce the shared memory size with the cost of using another additional process. The maximum waiting time using each of the algorithms proposed in this paper is bounded by (n1)c+O(nl), where n is the number of users, l is an upper bound on the time between two successive atomic steps, and c is an upper bound on the time that any user spends using the resource. The shared memory size needed by the first algorithm and the second algorithm are (n+1)(1+log (4n)) bits and n(1+log (4n4))+2 bits, respectively.

