Abstract
Inspection and Maintenance policies are important in detecting system failures and restoring the system. Most existing researches assume that inspections are perfect. A more realistic situation is that inspections influenced by the environment or technical conditions are imperfect. In this paper, we consider a system subject to continuous degradation with both imperfect and perfect inspections. The system is modeled by a renewal process and expected cost and length of a renewal cycle is derived. A numerical example is presented in the end, which derives the optimal number of imperfect inspection within a cycle by minimizing the long-run cost rate.
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