General Inspection Policies with Renewal Points

Most systems have to be checked at suitable times to detect their failures. By applying an interarrival distribution of a renewal process to fit distributions of an inspection policy, this research investigates three modified inspection policies: inspection first, last and overtime. We obtain their total expected inspection costs and optimal inspection times analytically. Finally, these three types of inspection first, last and overtime policies are compared with periodic inspection policy and are described in a numerical example.