相依的冗余备件在n中取k系统的随机最优分配  

Optimal Allocation of Randomly Selected Redundancies to k-out-of-n System with Dependent but Nonidentical Compo

作　　者：程美芳 方龙祥 张帅 CHENG Meifang;FANG Longxiang;ZHANG Shuai(School of Mathematics and Statistics,Anhui Normal University,Wuhu,241002,China)

机构地区：[1]安徽师范大学数学与统计学院,芜湖241002

出　　处：《应用概率统计》2025年第1期43-64,共22页Chinese Journal of Applied Probability and Statistics

基　　金：安徽省哲学社会科学规划基金(批准号:AHSKF2021D30)资助.

摘　　要：在本文中,假设组成n中取k系统的每个子系统由随机分配的若干冗余备件和一个不同的元件以并联(串联)的形式组成,且冗余备件和元件的随机寿命是相互独立的,但来自于同一个子种群中冗余备件的随机寿命存在相依关系,这里使用Archimedean copula来刻画.我们利用随机序理论研究了随机挑选冗余备件的概率、冗余备件的随机寿命和冗余备件的分配策略等三种不同因素对n中取k系统的可靠性影响,最后通过一些数值例子说明了结论的正确性.In this paper,we assume that the k-out-of-n system comprised by each subsystem consists of a number of randomly assigned redundancies and a different component in parallel(series),the random lifetimes of redundancies and components are independent of each other,but the random lifetimes of redundancies in the same subpopulation are dependent,where the dependence of redundancies is modeled by the Archimedean copula tool.We use stochastic order theory to establish the main results based on selection probabilities,stochastic lifetime and allocation policies of redundancies.Finally,we present some numerical examples to illustrate the scientific validity of the conclusions.

关 键 词：Archimedean copula 优化序 冗余分配 异质群体 n中取k系统 

分 类 号：O213.2[理学—概率论与数理统计]