n中取n-k+1系统在多监控下剩余寿命的随机比较

Stochastic Comparisons Based on Residual Life of n-k+1-out-of-n Systems under Multi Monitor

考虑分别由n个不同元件构成的两个协同系统,协同系统要正常工作,当且仅当这个协同系统中至少有一个元件处于正常工作状态。借助于两个协同系统的可靠度函数,研究了这两个协同系统的剩余寿命关于失效率的一些随机性质,得到n取n-k+1系统在三个及三个以上监控下基于失效率序的一些比较结果,并得出这两个n取n-k+1系统它们的失效率序越大,则在三个及三个以上监控下它们的剩余寿命越长.

This paper pays attention to two coherent systems composed of n different components. The coherent system should work if and only if at least one component of the coherent system is working normally. With the help of the reliability function of two coherent systems, some random properties of the residual life of these two coherent systems on the hazard rate orders are studied. Some comparison results of n-k+1-out-of-n systems under three and more monitor are obtained. The results show that the greater of the n-k+1-out-of-n systems under hazard rate orders, the longer of the residual life of the n-k+1-out-of-n systems under three or more monitor is.