New repairable system model with two types repair based on extended geometric process  

作　　者：WANG Junyuan YE Jimin XIE Pengfei 

机构地区：[1]School of Mathematics and Statistics,Xidian University

出　　处：《Journal of Systems Engineering and Electronics》2019年第3期613-623,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：A simple repairable system with one repairman is considered. As the system working age is up to a specified time T, the repairman will repair the component preventively, and it will go back to work as soon as the repair finished. When the system failure, the repairman repair it immediately. The time interval of the preventive repair and the failure correction is described with the extended geometric process. Different from the available replacement policy which is usually based on the failure number or the working age of the system, the bivariate policy (T,N) is considered. The explicit expression of the long-run average cost rate function C(T,N) of the system is derived. Through alternatively minimize the cost rate function C(T,N), the optimal replacement policy (T?,N?) is obtained, and it proves that the optimal policy is unique. Numerical cases illustrate the conclusion, and the sensitivity analysis of the parameters is carried out.A simple repairable system with one repairman is considered. As the system working age is up to a specified time T,the repairman will repair the component preventively, and it will go back to work as soon as the repair finished. When the system failure, the repairman repair it immediately. The time interval of the preventive repair and the failure correction is described with the extended geometric process. Different from the available replacement policy which is usually based on the failure number or the working age of the system, the bivariate policy(T, N) is considered. The explicit expression of the long-run average cost rate function C(T, N) of the system is derived. Through alternatively minimize the cost rate function C(T, N), the optimal replacement policy(T *, N *) is obtained, and it proves that the optimal policy is unique. Numerical cases illustrate the conclusion, and the sensitivity analysis of the parameters is carried out.

关 键 词：EXTENDED geometric process average cost rate REPLACEMENT policy RENEWAL REWARD THEOREM 

分 类 号：N[自然科学总论]