基于几何过程和位相分布休假的两部件并联可修系统的可靠性分析  

Reliability Analysis of two Components Parallel Repairable System Based on Geometric Process and Phase-Type Vacation

作　　者：王怡[1] 岳德权[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《数学的实践与认识》2017年第8期190-199,共10页Mathematics in Practice and Theory

基　　金：河北省自然科学基金项目(G2012203136)

摘　　要：主要以两不同型部件组成的并联可修系统为研究对象.在系统对失效相位存在记忆的基础上,考虑了修理工可单重休假且休假时间服从位相(PH)分布.每个工作部件均有可能因受到两种不同类型的故障而失效,且均"修复非新".在假定部件的工作时间,修理时间分别服从PH分布的几何过程和负指数分布的条件下,利用马尔可夫过程和矩阵分析的方法,对可修系统进行了可靠性分析,并给出了相应可靠性指标的数值算例.This research investigates a two-different component of parallel repairable system about having the remembering of the failure phase when the component is repaired. In this system, repairman＇s single vacation , and where the vacation time IOllOWS pnase-~yp~[r^l] distribution is considered. When the component is operative, it may be subjected to two types of failures, and the component is assumed that it is not ＂as good as new＂. Assume that the working time follows geometric process with PH distribution, and the repair time follows negative exponential distribution. By establishing theMarkov process of the system and using matrix analysis method, we analyze the reliability of this repairable system, and give some numerical examples corresponding reliability index.

关 键 词：并联可修系统 单重休假 PH分布 几何过程 马尔可夫过程 矩阵分析 

分 类 号：O213.2[理学—概率论与数理统计]