工作休假的M/M/1可修排队的可靠性分析  

Reliability analysis of M/M/1 queuing system with repairable service station and multiple working vacations

作　　者：贾礼君[1] 刘春平[1] 胡连华[1] 侯秀丽[1] 

机构地区：[1]河北联合大学迁安学院基础部,河北唐山064400

出　　处：《山东理工大学学报（自然科学版）》2012年第4期48-52,共5页Journal of Shandong University of Technology:Natural Science Edition

基　　金：国家自然科学基金资助项目(70671088)

摘　　要：分析了多重工作休假的M/M/1可修排队系统的可靠性问题.分别求出忙期和工作休假期服务员广义服务时间的分布函数.采用概率分解的方法,给出了服务台首次失效时间的分布函数的Laplace-Stieltjes变换和服务台瞬时可用度的Lapalce变换.Reliability analysis of M/M/1 queuing system with repairable service station and multiple working vacations is presented in this paper. We derive distribution functions of the generalized service time of the system service station during the busy period and the working vacation period, respectively. The Laplace-Stieltjes transform of the distribution of the first failure time of the service station and the Laplace transform of the instantaneous availability of the service station are obtained by using the probability decomposition method.

关 键 词：排队系统 工作休假 可修服务台 首次失效时间 瞬时可用度. 

分 类 号：O226[理学—运筹学与控制论]