Abstract

Maintenance is of great interest in reliability theory. A two-unit parallel redundant system is a typical redundant repairable system and is applied in many practical fields such as computer systems. Many contributions to such systems have been proposed and analyzed extensively. The earlier models have mainly assumed that the lifetimes of two units are independently distributed. However, some papers considered a two-unit parallel redundant system in which the lifetimes of two units are dependent and distributed by a Bivariate Exponential (BVE) distribution. In this paper we discuss a two-unit parallel redundant system with single repair facility in which the lifetimes of two units obey a BVE distribution. Consider the maintenance policy for the operative unit. The time of the beginning of the lightly maintenance measured from the instant that the unit begins to be operative, is assumed to obey a BVE distribution. We derive the limiting availability for the system by applying a unique modification of regeneration point techniques in Markov renewal processes. This paper also gives a numerical example of the limiting availability for the system.

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