推广的M^x/G(M/G)/1(M/G)可修排队系统(Ⅱ)—— 一些可靠性指标  

The Generalized M ~x/G(M/G)/1(M/G) Repairable Queueing System (Ⅱ)——Some Reliability Indices

作　　者：唐应辉[1] 唐小我[2] 

机构地区：[1]电子科技大学应用数学系,四川成都610054 [2]电子科技大学管理学院,四川成都610054

出　　处：《系统工程理论与实践》2000年第2期84-91,共8页Systems Engineering-Theory & Practice

基　　金：国家杰出青年科学基金!( 7972 5 0 0 2 )

摘　　要：进一步研究推广的MxG(MG)1(MG)可修排队系统,讨论了服务台如下的可靠性问题:1)在时刻t失效的概率,即不可用度;2)在“服务员忙期”内的失效次数;3)在(0,t]内的平均失效次数及其渐近展开;4)在“服务员忙期”内的失效时间;5)在(0,t]内的平均失效时间及其渐近展开,得到一系列结果,并给出了便于计算(0。In this paper we further study the generalized M \%x\%/G(M/G)/1(M/G) repairable queueing system and discuss the following reliability problems of the service station: 1) The probability that it fails at time \$t\$; 2)The failure number during the 'server busy period'; 3)The expected failure number and its asymptotic expansion during \$(0,t]\$; 4) The downtime during 'the server busy period'; 5) The expected downtime and its asymptotic expansion during \$(0,t]\$, and obtain a series of results, while simultaneously give out some asymptotic formulas for calculating the expected failure number and expected downtime during \$(0,t]\$.

关 键 词：不可用度 可修排队系统 可靠性指标 

分 类 号：O213.2[理学—概率论与数理统计] O226[理学—数学]