A generalized geometric process based repairable system model with bivariate policy  

作　　者：MA Ning YE Jimin WANG Junyuan 

机构地区：[1]College of Mathematics and Statistics,Xidian University,Xi’an 710071,China [2]College of Sciences,China Jiliang University,Hangzhou 310018,China

出　　处：《Journal of Systems Engineering and Electronics》2021年第3期631-641,共11页系统工程与电子技术（英文版）

基　　金：supported by the National Natural Science Foundation of China(61573014);the Fundamental Research Funds for the Central Universities(JB180702).

摘　　要：The maintenance model of simple repairable system is studied.We assume that there are two types of failure,namely type Ⅰ failure(repairable failure)and type Ⅱ failure(irrepairable failure).As long as the type Ⅰ failure occurs,the system will be repaired immediately,which is failure repair(FR).Between the(n-1)th and the nth FR,the system is supposed to be preventively repaired(PR)as the consecutive working time of the system reaches λ^(n-1) T,where λ and T are specified values.Further,we assume that the system will go on working when the repair is finished and will be replaced at the occurrence of the Nth type Ⅰ failure or the occurrence of the first type Ⅱ failure,whichever occurs first.In practice,the system will degrade with the increasing number of repairs.That is,the consecutive working time of the system forms a decreasing generalized geometric process(GGP)whereas the successive repair time forms an increasing GGP.A simple bivariate policy(T,N)repairable model is introduced based on GGP.The alternative searching method is used to minimize the cost rate function C(N,T),and the optimal(T,N)^(*) is obtained.Finally,numerical cases are applied to demonstrate the reasonability of this model.

关 键 词：renewal reward theorem generalized geometric process(GGP) average cost rate optimal policy replacement 

分 类 号：TP277[自动化与计算机技术—检测技术与自动化装置]