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带启动-关闭期的多重休假M/G/1排队
引用本文:王建军,杨德礼. 带启动-关闭期的多重休假M/G/1排队[J]. 燕山大学学报, 2005, 29(1): 8-12
作者姓名:王建军  杨德礼
作者单位:大连理工大学,管理学院,辽宁,大连,116024
基金项目:国家自然科学重点基金(No.70031020)
摘    要:研究多重休假带启动一关闭期的M/G/1排队。给出稳态队长和等待时间分布的母函数及其随机分解结果,并给出附加队长和附加延迟时间的PH的封闭性,推导出忙期、全假期和在线期母函数和均值。

关 键 词:M/G/1排队  多重休假  关闭期  母函数  忙期  随机分解  稳态队长  启动  在线  等待时间
文章编号:1007-791X(2005)01-0008-05
修稿时间:2004-10-22

M/G/1 multiple vacation queueing with set-up and close periods
WANG Jian-jun,YANG De-li. M/G/1 multiple vacation queueing with set-up and close periods[J]. Journal of Yanshan University, 2005, 29(1): 8-12
Authors:WANG Jian-jun  YANG De-li
Affiliation:WANG Jian-jun1,YANG De-li1
Abstract:In this paper, a continuing time multiple vacation of M/G/1 queueing with set-up and close period is considered. The generating function and the stochastic decomposition of the steady state queue length and waiting time distributions are derived, and thePHexpressions ofadditional length and delayedwaitingtime are given.The generating function and expection of the busying period, whole vacation period and on-line period are calculated.
Keywords:continuing-time queues  stochastic decomposition  multiple vacation  set-up period  close period  whole vacation period  on-line period
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