Reliability Analysis of Two Dissimilar-Cold Standby Redundant Systems Subject to Inspection with Preventive Maintenance Using Copula

Abstract

The objective of this chapter is to study the system reliability through redundant component and additional preventive maintenance of operative and standby units. The considered system consists of two units in cold-standby, one is main unit and other is standby. The configuration of main unit is of 1-out-of-2: G whereas standby unit is of (n-1)-out-of-n: F and (n-2)-out-of-n: D nature. Main unit of the system has two modes viz. operable and failed and standby unit of the system has three modes viz. operable, degraded and failed. Both units after failure go for inspection where the type of the failure is detected and accordingly repairing action is decided. The failure and repair times follow exponential and general time distributions respectively. The system is studied by using the supplementary variable technique, Laplace transformation and Gumbel-Hougaard family of copula to obtain reliability, availability, downtime, busy period, M.T.T.F. and cost effectiveness of the system. At last some special cases of the system have been discussed.