连续n中取k系统中冗余元件的分配问题

The Problem of Redundancy Allocation in Consecutive k-out-of-n System

配备冗余元件是提高系统可靠性的常用手段,本文从热储备和冷储备2个角度研究了连续n中取k系统中冗余元件的分配问题.结果表明:在普通随机序意义下,当2k≥n时,将随机较大的冗余元件配备在离中心近的位置上可以产生更高的可靠性.最后,通过反例说明该结论不能加强为失效率序关系.

Redundancy allocation is a commonly used method to increase reliability of the system.In this paper,we discussed the problems of redundancy allocation in consecutive k-out-of-n system in the cases of active and standby redundancy.The results show that,when 2k≥n,allocating the stronger redundancy to the position that is closer to the center,the reliability of system can be enhanced more than allocating it to the position that is far from the center in the sense of usual stochastic order.Finally,we have shown that the results cannot be strengthened from usual stochastic order to hazard rate order by a counterexample.