Allocating active redundancies to k-out-of-n reliability systems with permutation monotone component lifetimes

作者：You, Yinping; Fang, Rui; Li, Xiaohu^*

来源：Applied Stochastic Models in Business and Industry, 2016, 32(5): 607-620.

DOI：10.1002/asmb.2180

• Archimedean copula
• lower tail permutation decreasing
• reversed hazard rate order
• stochastic arrangement increasing
• usual stochastic order

This paper studies k-out-of-n redundant systems with component lifetimes having lower tail permutation decreasing probability density. For matched redundancies with stochastic arrangement increasing lifetimes, the allocation of a more reliable component to a weaker component is proved to enhance system reliability. For redundancies with independent and identically distributed lifetimes, more allocations to a weaker component are shown to stochastically increase the system lifetime. In addition, using a real data set, we illustrate the statistical aspects of developing lifetimes with lower tail permutation decreasing density.

• 出版日期2016-10
• 单位汕头大学; 华侨大学