Availability Analysis of a Repairable Series-Parallel System with Redundant Dependency  

作　　者：HU Linmin YUE Dequan MA Zhanyou 

机构地区：[1]School of Science,Yanshan University,Qinhuangdao 066004,China [2]School of Economics and Management of Science,Yanshan University,Qinhuangdao 066004,China

出　　处：《Journal of Systems Science & Complexity》2020年第2期446-460,共15页系统科学与复杂性学报（英文版）

基　　金：supported in part by the Natural Science Foundation of Hebei Province under Grant No.A2018203088;the National Natural Science Foundation of China under Grant No.11601469;the Science Research Project of Education Department of Hebei Province under Grant No.ZD2017079。

摘　　要：This paper investigates the steady-state availability of a repairable series-parallel system with redundant dependency.The different types of components and repairmen are taken into account,the failure rate of the operating component varies as the number of other failed components and the repair rate of the failed component is constant in each parallel redundant subsystem.To quantify the redundant dependency,a modified failure dependence function is introduced to determine the failure rate of the components in each subsystem.Markov theory and matrix analysis method are used to get the steady-state probability vector of each subsystem and the steady-state availability of the entire system.A numerical example is presented to illustrate the obtained results and to analyze the effect of redundant dependency class on the system availability.

关 键 词：AVAILABILITY PROBABILITY redundant dependency repairable system SERIES-PARALLEL 

分 类 号：N945.1[自然科学总论—系统科学]