带启动时间单重休假的M/G/1排队  

The M/G/1 Queue with Single Vacation and Set-Up Times

作　　者：王铁英[1] 韦才敏[2] 

机构地区：[1]大连民族学院应用数理系,辽宁大连116600 [2]大连理工大学应用数学系,辽宁大连116024

出　　处：《上海第二工业大学学报》2004年第1期14-18,共5页Journal of Shanghai Polytechnic University

摘　　要：研究了带有启动时间的单重休假连续时间的到达服从Poisson分布、顾客服务服从一般分布的单个服务台排队,导出了稳态队长的分布和母函数、等待时间的分布和其LST及其随机分解结果和稳态系统忙期。验证了所得到的结果。A continuous time queueing model with single vacation and set-up time, in which the arrival process of customer is Poisson distribution and the service time of customer obeys general distribution with a server, are considered. The generating function and the mean of the steady state queue length are derived. The LST and the mean of waiting time, and busy period distributions and their stochastic decompositions are given. The results obtained are verified.

关 键 词：运筹学 排队 连续时间 随机分解 启动时间 单重休假 嵌入Markov链 

分 类 号：O226[理学—运筹学与控制论]