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N策略带启动时间的Geom/Geom/1工作休假排队
引用本文:朱翼隽,潘小春,胡彬.N策略带启动时间的Geom/Geom/1工作休假排队[J].应用数学与计算数学学报,2010,24(1):25-34.
作者姓名:朱翼隽  潘小春  胡彬
作者单位:江苏大学理学院,镇江,212013
基金项目:国家自然科学基金资助项目 
摘    要:考虑N策略带启动时间的Geom/Geom/1工作休假排队,服务员在休假期间并未完全停止工作而是以较低的速率为顾客服务.运用拟生灭链和矩阵几何解方法,给出了该模型的稳态队长的分布和等待时间的概率母函数,并证明了队长和等待时间的条件随机分解结构.

关 键 词:工作休假  启动时间  N策略  拟生灭链  矩阵几何解  条件随机分解
收稿时间:2010-01-15

Geom/Geom/1 Queue with Working Vacations and N-policy and Set-up Time
Zhu Yijun,Pan Xiaochun,Hu Bin.Geom/Geom/1 Queue with Working Vacations and N-policy and Set-up Time[J].Communication on Applied Mathematics and Computation,2010,24(1):25-34.
Authors:Zhu Yijun  Pan Xiaochun  Hu Bin
Institution:Zhu Yijun Pan Xiaochun Hu Bin Faculty of Science,Jiangsu University,Zhenjiang 212013,China
Abstract:This paper deals with an Geom/Geom/1 queue with working vacations and N-policy and set-up time. The server works at a lower rate during the working vacations rather than stops working. Using quasi-birth-death chain and matrix-geometric solution method, the steady-state distributions for queue size and the probability generating function for wating time are obtained. Additionally, the structure of conditional stochastic decomposition of the queue size and the wating time are proved.
Keywords:working vacations  set-up time  N-policy  quasi birth and death chain  matrix-geometric solution  conditional stochastic decomposition
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