n中取n-k+1系统在多监控下休止时间的随机比较

Stochastic Comparisons between Inactivity Durations of(n-k+1)-out-of-n Systems under Multi-Monitors

n中取n-k+1系统在可靠性理论和实际应用中扮演着非常重要的角色。考虑由两组独立元件分别构成的两个n取n-k+1系统在多个监控下休止时间的随机比较问题。结果表明,n中取n-k+1系统在双监控下休止时间的一些随机性质在3个监控下同样成立,并进一步得出分别由两组独立同分布元件组成的两个系统在多个监控下休止时间关于似然比序的随机比较。

In the study of the theoretical reliability and practical application,( n- k + 1)- out-of- nplays a very important role. This paper pays attention to stochastic comparisons problem based on inactivity of( n- k + 1)- out-of- nsystems under multi monitor between two systems with sets of independent components. The results show that the random nature of the inactivity time for these systems takes place under both double and three monitors,and the likelihood ratio rate order stochastic comparisons under multi monitor have also carried out in two different systems consisting of two separate sets of independent and evenly distributed components.