摘要
对具有两个相依性元件的串联系统的冗余元件分配问题进行研究,假设工作元件寿命和冗余元件寿命相互独立且分别具有相依性,建立不同冗余分配策略下系统寿命在随机占优序下的大小关系.结果表明:分配两个冗余元件中的一个冗余元件时,将寿命较长的冗余元件分配给寿命较短的工作元件可以延长系统的寿命;分配两个冗余元件时,将寿命较长的冗余元件分配给寿命较短的工作元件的分配策略较优.
Research on the redundancies allocation problem in series system with two interdependent components,assuming that the lifetimes of dependent working components and the lifetimes of interdependent redundancies are are independent,we establish the size relationship of system lifetimes under different redundancy allocation policy in the sense of stochastic preference order.The results show that on allocation of one of two redundancies,allocating a redundancy with longer lifetimes to a working components with shorter lifetimes can extend the lifetimes of the system and on allocation of two redundancies,allocating a redundancy with longer lifetimes to a working component with shorter lifetimes makes a better allocation policy.
作者
李晓琴
游银萍
LI Xiaoqin;YOU Yinping(School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China)
出处
《华侨大学学报（自然科学版）》
CAS
2023年第5期636-644,共9页
Journal of Huaqiao University(Natural Science)
基金
国家自然科学基金青年科学基金资助项目(11701194)
福建省自然科学基金资助项目(2020J01074)。
关键词
普通随机序
随机占优序
随机排列递增
左尾弱随机排列递增
usual stochastic order
stochastic preference order
stochastic arrangement increasing
left tail weak stochastic arrangement increasing
作者简介
通信作者:游银萍(1988-),女,副教授,博士,主要从事可靠性、保险精算、经济金融和风险管理等领域分配问题的研究.E-mail:youyinping19881203@163.com.
