Title :
Some Aging Properties of the Residual Life of

-out-of-

Systems
Author :
Li, Xiaohu ; Zhao, Peng
Author_Institution :
Sch. of Math. & Stat., Lanzhou Univ.
Abstract :
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
Keywords :
ageing; consecutive system reliability; failure analysis; fault tolerance; hazards; statistical distributions; stochastic processes; IFR; NBU; aging property; component failures; fault-tolerant system; hazard rate order; industrial system; k-out-of-n system; life distribution; likelihood ratio order; military system; redundancy; residual life; stochastic order; Aging; Defense industry; Fault tolerant systems; Hazards; Probability density function; Random variables; Redundancy; Reliability theory; Resonance light scattering; Stochastic processes; Hazard rate order; increasing failure rate; likelihood ratio order; new better than used; stochastic order;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.2006.879652