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Quasi-self-stabilization of a distributed system assuming read/write atomicity
Self-stabilizing systems of the Dolev type were first introduced by Dolev et al. in their famous paper in 1993. In contrast to self-stabilizing systems of the Dijkstra type, such self-stabilizing systems assume the read/write atomicity model instead of the composite atomicity model. In this paper, w...
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Published in: | Computers & mathematics with applications (1987) 2009, Vol.57 (2), p.184-194 |
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Main Authors: | , , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | Self-stabilizing systems of the Dolev type were first introduced by Dolev et al. in their famous paper in 1993. In contrast to self-stabilizing systems of the Dijkstra type, such self-stabilizing systems assume the read/write atomicity model instead of the composite atomicity model. In this paper, we introduce the notion of quasi-self-stabilizing systems of the Dolev type. A naturally-adapted version from Dijkstra’s
K
-state mutual exclusion algorithm is employed to illustrate the new notion. The adapted algorithm is shown to be self-stabilizing if
K
is greater than or equal to
2
n
−
1
, quasi-self-stabilizing but not self-stabilizing if
K
is less than
2
n
−
1
but greater than or equal to
n
, and not quasi-self-stabilizing if
K
is less than
n
. |
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ISSN: | 0898-1221 1873-7668 |
DOI: | 10.1016/j.camwa.2008.02.052 |