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Availability of Large Scale Repairable Systems with Imperfect Repair

Operational systems consist of components that deteriorate and eventually fail. Upon failure, components are either repaired or replaced. Cheap and critical components are usually replaced, while expensive and non-critical ones are repaired before replacement. In this research work, repairable systems undergoing imperfect repair are examined where upon failure each component is repaired several times before being replaced. The main objective is to assess systems' performance by measuring the asymptotic availability. Closed forms analytical expressions are derived for the availability of some non-complicated systems while simulation is used to asses and analyze the performance of complex systems.