在第二类故障期间以概率p进入的M/G/1可修排队系统  

M/G/1 Repairable Queueing System with p-Entering Discipline During Second Type Failure Times

作　　者：李才良[1] 唐应辉[2] 牟永聪[2] 余玅妙[3] 

机构地区：[1]成都工业学院信息与计算科学系,成都610031 [2]四川师范大学数学与软件科学学院,成都610066 [3]四川理工学院理学院,四川自贡643000

出　　处：《数学物理学报（A辑）》2012年第6期1149-1157,共9页Acta Mathematica Scientia

基　　金：国家自然科学基金(71171138,70871084);教育部高校博士点专项基金(200806360001)资助

摘　　要：在研究的M/G/1可修系统中,假设服务台在忙期和闲期内都可能发生故障,且具有不同的故障率,并且在闲期的故障状态期间到达顾客以概率p(0≤p≤1)进入系统.使用全概率分解技术和利用拉普拉斯变换、母函数等工具,研究了系统的瞬态队长分布和稳态队长分布,获得一系列结果,并且讨论了p=0和p=1等特殊情况.This paper considers the M/G/l repairable queueing system in which the service station may fail and have different failure rates during its busy and idle periods.While the customers who arrive during second type failure times enter the system with probability p（0≤p≤1）.By using the total probability decomposition,Laplace transform and generating function,both the transient distribution and steady distribution of the queue size are directly studies,and some important results are obtained.At last,some special cases,such as p = 0, p = 1,and so on,are also discussed.

关 键 词：可修排队系统 故障 p-进入规则 队长分布 全概率分解 

分 类 号：O121[理学—数学]