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

Abstract

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 signature-based 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.

Keywords

• constrained (k
• d)-out-of-n: f structures
• samaniego’s signature
• monte-carlo simulation
• mean residual lifetimes
• conditional mean residual lifetimes
• multivariate pareto model