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Availability of k-Coterie
May 1993 (vol. 42 no. 5)
pp. 553-558

The distributed k-mutual-exclusion problem (k-mutex problem) is the problem of guaranteeing that at most k processes at a time can enter a critical section at a time in a distribution system. A method proposed for the solution of the distributed mutual exclusion problem (i.e., 1-mutex problem) by D. Barbara and H. Garcia-Molina (1987) is an extension of majority consensus and uses coteries. The goodness of coterie-based 1-mutex algorithm strongly depends on the availability of coterie, and it has been shown that majority coterie is optimal in this sense, provided that: the network topology is a complete graph, the links never fail, and p, the reliability of the process, is at least 1/2. The concept of a k-coterie, an extension of a coterie, is introduced for solving the k-mutex problem, and lower and upper bounds are derived on the reliability p for k-majority coterie, a natural extension of majority coterie, to be optimal, under conditions (1)-(3). For example, when k=3, p must be greater than 0.994 for k-majority coterie to be optimal.

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Index Terms:
distributed k-mutual-exclusion problem; k-mutex problem; critical section; distribution system; network topology; complete graph; concurrency control; distributed processing; graph theory.
Citation:
H. Kakugawa, S. Fujita, M. Yamashita, T. Ae, "Availability of k-Coterie," IEEE Transactions on Computers, vol. 42, no. 5, pp. 553-558, May 1993, doi:10.1109/12.223674
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