服务台可修的N-策略单重休假M/G/1排队系统的可靠性分析  

Reliability Analysis of Repairable M/G/1 Queueing System with N-policy and Single Vacation

作　　者：母鑫芳[1] 唐应辉[1,2] 

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066 [2]四川师范大学基础教学学院,四川成都610066

出　　处：《应用数学》2010年第2期299-306,共8页Mathematica Applicata

基　　金：国家自然科学基金资助项目(70871084);教育部高校博士点专项基金资助项目(200806360001)

摘　　要：本文研究服务台可修的N-策略单重休假M/G/1排队系统,假定服务台的寿命有负指数分布和修理时间有任意分布,通过使用全概率分解技术和拉普拉斯变换,讨论了服务台的首次失效时间分布、不可用度和故障频度等可靠性指标,获得了服务台的一系列可靠性结果.This paper studies the repairable M/G/1 queueing system with N-policy and single vacation.Suppose that the life length of the service station has an exponential distribution and the repair time length of the broken service station has general distribution,some the reliability indexes of the service station,such as the probability distribution of the first failure time,the unavailability and the failure frequency are studied by using the total probability decomposition technique and Laplace transform.Some important reliability results are obtained.

关 键 词：N-策略 单重休假 可修 不可用度 故障频度 

分 类 号：O213.2[理学—概率论与数理统计] O226[理学—数学]