Stochastic Redundant Replacement Maintenance Models

Abstract

Many serious accidents have happened as systems have become large scale and complex, and moreover, advanced nations have almost finished infrastructures and rushed into a maintenance period. Maintenance would be more important than production and construction for environment consideration and the protection of natural resources. A variety of maintenance policies have been established to prevent failures for objective systems in reliability theory. It has been well-known that high system reliability can be achieved through redundancy. Alternatively, several maintenance policies are planned simultaneously, such as bivariate, trivariate, and multivariate policies with multiple maintenance plans. This chapter takes up age and periodic replacements that are the most standard maintenance policy, shows their optimal policies, and proposes redundant replacement policies with time T and n kinds of replacements. The results obtained in this chapter would be applied to maintenances for redundant systems, imperfect repair, and several failure nodes.