A generalized geometric process based repairable system model with bivariate policy

• 作者: MA Ning YE Jimin WANG Junyuan
• 来源期刊: 系统工程与电子技术（英文版）
• 年，卷（期）: 2021,（3）
• 所属期刊栏目: SYSTEMS ENGINEERING
• 页码范围: 631-641
• 页数: 11页
• 语种: 英文
• DOI: 10.23919/JSEE.2021.000054

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 re-paired immediately,which is failure repair(FR).Between the(n-1)th and the nth FR,the system is supposed to be prevent-ively repaired(PR)as the consecutive working time of the sys-tem reaches λn-1T,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 Ⅰfailure or the occurrence of the first type Ⅱ failure,whichever oc-curs first.In practice,the system will degrade with the increas-ing 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 intro-duced 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.