N个不同部件串联而成的M/G/1可修排队系统  

M/G/1 Repairable Queueing System with N Units Series Structure

作　　者：魏瑛源[1] 唐应辉[2] 

机构地区：[1]河西学院数学系,甘肃张掖734000 [2]电子科技大学应用数学学院,四川成都610054

出　　处：《系统工程理论与实践》2004年第11期106-110,共5页Systems Engineering-Theory & Practice

基　　金：四川省学术带头人培养基金([2001]16);电子科技大学青年科学基金(YF021102)

摘　　要：　考虑服务台由N个不同部件串联而成的M/G/1可修排队系统,其中服务台正常当且仅当N个部件都正常.在假定每个部件的寿命服从指数分布,而故障部件的修理时间服从一般分布下,通过引入服务台的"广义忙期",提出了分析服务台有关可靠性指标的一种新方法,用该方法更加简洁的讨论了服务台的许多感性趣的可靠性指标,得到了一些重要的可靠性结果,推广了已有的结论.We consider the M/G/1 repairable queueing system with N units series structure, in which it operates if and only if all of the N units operate. Assume that each unit has exponential distribution and its repair time has arbitrary distribution. By introducing 'the generalized busy period' of the service station, a new approach to analysis the reliability quantities of the service station is presented. Some reliability results are obtained.

关 键 词：串联 可修排队系统 可靠性指标 失效次数 失效时间 

分 类 号：O213.2[理学—概率论与数理统计] O226[理学—数学]