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In the present paper we carry out a reliability study of the constrained (k, d)-out-of-n: F systems with exchangeable components. The signature vector is computed by the aid of the proposed algorithm. In addition, explicit signaturebased expressions for the corresponding mean residual lifetime and the conditional mean residual lifetime of the aforementioned reliability system are also provided. For illustration purposes, a well-known multivariate distribution for modelling the lifetimes of the components of the constrained (k, d)-out-of-n: F structure is considered. KeywordsConstrained (k,d)-out-of-n: F structures, Samaniego’s signature, Monte-Carlo simulation, Mean residual lifetimes, Conditional mean residual lifetimes, Multivariate Pareto model.

On the Lifetime and Signature of Constrained (k, d)-out-of-n: F Reliability Systems