关于n中取k系统一类新的休止时间

On a New Inactivity Time of k-out-of-n System

定义了由n个独立同分布元件构成的n中取k系统一个新的休止时间,即在时刻t1恰好有j个元件失效、在时刻t2至少有m(m>k)个元件失效条件下n中取k系统的休止时间和平均休止时间,得到了该休止时间的可靠度函数,并建立了它的几个序性质.此研究结果在可靠性、拍卖和尸体检验中都有着广泛的应用.

A new inactivity time of k-out-of-nsystem with nindependent and identically distributed components are defined,obtaining that the number of failures components at time t1 is exactlyj（j〈k〈m）and at timet2（〉t1）the number of failures components is at least m（〉k）.Under these conditions,the inactivity time and the mean past time of the system are studied.The reliability function of the inactivity time and some ordering properties are established.These results will be widely used in reliability,auction and autopsy etc.