具有两类失效模式和修理工休假的重试系统可靠性分析  

Reliability Analysis of a Retrial System with Two FailureModes and Vacation

作　　者：刘思佳 胡林敏[1] 刘朝彩 LIU Sijia;HU Linmin;LIU Zhaocai(School of Science,Yanshan University,Qinhuangdao 066004,China)

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《应用数学》2020年第3期643-651,共9页Mathematica Applicata

基　　金：河北省自然科学基金(A2018203088);河北省教育厅高等学校科技计划重点项目资助课题(ZD2017079)。

摘　　要：本文考虑具有两类失效模式和Bernoulli休假的可修表决重试系统,系统中每个部件或者正常工作,或者以概率p类型a失效,或者以概率1−p类型b失效.修理工修理完一个部件后,可能以概率h进行休假,也可能以概率1−h在系统中空闲.系统中没有等待空间,失效部件如果不能立即得到修理,则进入重试空间,一段时间后再进行重试,直到得到修理.利用马尔可夫过程理论和拉普拉斯变换等方法,得到了系统的稳态可用度、可靠度函数和系统首次故障前平均寿命等可靠性指标.通过数值例子分析了系统参数对可靠性指标的影响.This paper considers a repairable voting retrial system with two failure modes and Bernoulli vacation.Each component has two failure modes,we call them failure mode a and failure mode b.The probabilities of failure modes a and b are p and 1􀀀p,respectively.After the completion of a repair,the repairman either goes for a vacation with probability h,or stays idle in system with probability 1􀀀h.There is no waiting room in the system,if a component fails,it is repaired at once when the repairman is idle,otherwise the failed component enters into an orbit and tries again for the repair.The steady-state availability,the reliability function and the mean time to system first failure are derived by using vector Markov process and Laplace transform theory.Finally,some numerical experiments are conducted to show the effects of system parameters on reliability indexes.

关 键 词：重试 两类失效模式 BERNOULLI休假 可用度 可靠度 

分 类 号：O213.2[理学—概率论与数理统计]