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Several Results on the Dependent 2-Unit System with Single Repair Facility

Fumio OHI, Masanori KODAMA, Toshio NISHIDA

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Summary :

In this paper we derive several results on the dependent 2-unit system with single repair facility. The dependency means that it is allowed for the two units to fail at the same time. First, for the dependent 2-unit warm standby system, we obtain the following results: Laplace transform of the system reliability by using the conditional transform, limit theorems for the system reliability and mean time to the system failure (MTSF), distribution of the number of repairs completed during (0, t] and Laplace transform of the system reliability and MTSF in the case that the repair facility is capable of only n repairs. Second we discuss on the effects of repair policies to the availability of the dependent 2-unit hot standby system.

Publication
IEICE TRANSACTIONS on transactions Vol.E61-E No.9 pp.710-716
Publication Date
1978/09/25
Publicized
Online ISSN
DOI
Type of Manuscript
PAPER
Category
Mathematics

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