Abstract

In the present work, we study combined m-consecutive-k-out-of-n and consecutive kc-out-of-n reliability systems under imperfect cold standby redundancy. The proposed framework extends the ordinary perfect standby assumption by allowing the activation of the spare system to be successful with a given coverage probability. The system-level redundancy policy is considered, while the classical perfect cold standby model is obtained as a special case. Exact reliability representations for the resulting structures are discussed through signature-based arguments. In particular, expressions for the reliability function, the Mean Time to Failure and the Mean Residual Lifetime are provided. Special emphasis is also placed on statistical inference under right-censored lifetime data. A numerical study is carried out to illustrate the effect of imperfect coverage, censoring, and design parameters on the performance of the proposed reliability schemes.

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