TY - JOUR
T1 - Some aging properties of the residual life of k-out-of-n systems
AU - Li, Xiaohu
AU - Zhao, Peng
PY - 2006/9
Y1 - 2006/9
N2 - The k-out-of-n structure is a very popular type of redundancy in fault-tolerant systems. It has been applied in industrial, and military systems. In this paper, we investigate the general residual life (GRL) of a (n-k+1)-out-of-n system with i.i.d. components, given that the total number of the failures of components is less than l - 1(1 ≤ l < k ≤ n) at time t ≥ 0. It is shown that the GRL is decreasing in I in terms of the likelihood ratio order; Behavior of IFR, and NBU of life distributions arc discussed in terms of the monotonicity of GRL. Finally, comparison of the GRL of two (n - k + 1)-out-of-n systems are conducted given that the lifetime of their components arc assumed to be ordered in the hazard rate order.
AB - The k-out-of-n structure is a very popular type of redundancy in fault-tolerant systems. It has been applied in industrial, and military systems. In this paper, we investigate the general residual life (GRL) of a (n-k+1)-out-of-n system with i.i.d. components, given that the total number of the failures of components is less than l - 1(1 ≤ l < k ≤ n) at time t ≥ 0. It is shown that the GRL is decreasing in I in terms of the likelihood ratio order; Behavior of IFR, and NBU of life distributions arc discussed in terms of the monotonicity of GRL. Finally, comparison of the GRL of two (n - k + 1)-out-of-n systems are conducted given that the lifetime of their components arc assumed to be ordered in the hazard rate order.
KW - Hazard rate order
KW - Increasing failure rate
KW - Likelihood ratio order
KW - New better than used
KW - Stochastic order
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U2 - 10.1109/TR.2006.879652
DO - 10.1109/TR.2006.879652
M3 - Article
AN - SCOPUS:34047271086
SN - 0018-9529
VL - 55
SP - 535
EP - 541
JO - IEEE Transactions on Reliability
JF - IEEE Transactions on Reliability
IS - 3
ER -