TY - JOUR
T1 - On k-out-of-n systems with homogeneous components and one independent cold standby redundancy
AU - Li, Chen
AU - Li, Xiaohu
N1 - Publisher Copyright:
© 2023 Elsevier B.V.
PY - 2023/12
Y1 - 2023/12
N2 - In this note, we study a k-out-of-n system with component lifetimes linked by Archimedean (survival) copula and independent of the lifetime of a cold standby redundancy. We derive the survival function and the residual life function of the redundant system. Also, we examine how the redundancy and the system structure impact the system reliability through developing the usual stochastic order on system lifetime. In particular, for parallel systems we investigate the role played by the component lifetime, the generator of Archimedean copula, and the starting time of the redundancy as well. The present framework well relates to the real situation and thus the main results are instructive to reliability engineers.
AB - In this note, we study a k-out-of-n system with component lifetimes linked by Archimedean (survival) copula and independent of the lifetime of a cold standby redundancy. We derive the survival function and the residual life function of the redundant system. Also, we examine how the redundancy and the system structure impact the system reliability through developing the usual stochastic order on system lifetime. In particular, for parallel systems we investigate the role played by the component lifetime, the generator of Archimedean copula, and the starting time of the redundancy as well. The present framework well relates to the real situation and thus the main results are instructive to reliability engineers.
KW - Archimedean copula
KW - Mean residual lifetime
KW - Order statistics
KW - Super-additive
KW - Usual stochastic order
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U2 - 10.1016/j.spl.2023.109918
DO - 10.1016/j.spl.2023.109918
M3 - Article
AN - SCOPUS:85168474071
SN - 0167-7152
VL - 203
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
M1 - 109918
ER -