随机选择修理工且修理延迟的可修系统的可靠性分析  

Reliability analysis of a repairable system with repairman selected randomly and repair delay

作　　者：梁小林[1] 唐小伟[1] 莫兰英[1] 

机构地区：[1]长沙理工大学数学与计算科学学院,湖南长沙410076

出　　处：《长沙交通学院学报》2008年第3期84-89,共6页Journal of Changsha Communications University

基　　金：国家自然科学基金资助项目(10771021);湖南省教育厅基金资助项目(07c078)

摘　　要：研究了可随机选择修理工且修理延迟的可修系统.假定系统的寿命、延迟修理时间和修理时间均为广义指数分布.通过引进补充变量法并利用广义马尔可夫过程和拉普拉斯变换方法求出了系统的可用度、可靠度、维修频度和系统等待修理的概率等重要可靠性指标.A repairable system is considered in which the repairmen can be selected randomly and the repair can be delayed. Assuming that the working life, the repair delay time and the repair time have all the broad sense exponential distribution, some main reliability index of the system, such as availability, reliability, repairable frequency and the probability of repair delay, are derived by using the supplementary variable technique, the broad sense Markov process and the tool of the Laplace transform.

关 键 词：可靠性指标 补充变量法 修理延迟 广义马尔可夫过程 

分 类 号：TB114.3[理学—概率论与数理统计]