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Some Aging Properties of the Residual Life of k -out-of- n Systems

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2 Author(s)
Xiaohu Li ; Sch. of Math. & Stat., Lanzhou Univ. ; Peng Zhao

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(1lesl<klesn) at time tges0. It is shown that the GRL is decreasing in l in terms of the likelihood ratio order; Behavior of IFR, and NBU of life distributions are 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 are assumed to be ordered in the hazard rate order

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Reliability, IEEE Transactions on  (Volume:55 ,  Issue: 3 )