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This paper considers an extension of the minimal repair model policy to be carried out when testing is needed to detect the failures of a system. It is assumed that the system is subject to both types of failures, unrevealed minor failures or unrevealed catastrophic ones. The inspection policy minimizing the expected cost per unit of time for an infinite time span is discussed. Mathematics Subject Classification: 90B25, 60K10

Minimal repair model for systems under both unrevealed minor failures and unrevealed catastrophic failures