一个机器服务模型的可靠性分析  

Reliability Analysis of A Machine Service Model

作　　者：练肇通[1] 邓永录[1] 

机构地区：[1]广州师范学院,中山大学

出　　处：《应用数学》1996年第3期278-282,共5页Mathematica Applicata

摘　　要：本文讨论了由Ｎ个同型部件和一个服务设备组成的机器服务模型，在服务设备绝对可靠，或服务设备具有指数寿命，修理工对其修理的时间为ＰＨ分布，这两种情况下求得了系统的平稳概率分布，从而求得机器系统和服务设备的稳态可靠性指标，并证明了它们的首次失效时间均服从ＰＨ分布，服务设备和修理工的忙期亦服从ＰＨ分布．This paper discusses a machine service model in which there are N identical units and one server. Each unit has exponential lifetime distribution,and the serviced time of each unit has PH distribition. On the conditions that 1)The server is absolute reliable; 2)The server has exponential lifetime distribution. We obtain the stationary probability distribution, and get some reliability indexes. Respectively weprove that the reliability distributions follow PH distribution and busy Period distributions of the server and repairman follow PH distritions too.

关 键 词：机器服务模型 可靠性分析 平稳概率分布 

分 类 号：O213.2[理学—概率论与数理统计]