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带启动时间及不耐烦等待的多级适应性休假M/G/1排队
引用本文:于艳辉,田乃硕,孙微,高春燕. 带启动时间及不耐烦等待的多级适应性休假M/G/1排队[J]. 运筹与管理, 2006, 15(4): 85-90
作者姓名:于艳辉  田乃硕  孙微  高春燕
作者单位:燕山大学,理学院,河北,秦皇岛,066004
摘    要:本文研究了多级适应性休假的带启动期及不耐烦等待策略的MIG/1连续时间排队,给出了稳态队长的母函数,等待时间的LST及其随机分解结果,并推导出忙期和全假期的均值。

关 键 词:多级适应性休假  启动时间  不耐烦等待  随机分解  连续时间排队
文章编号:1007-3221(2006)04-0085-06
收稿时间:2005-12-02
修稿时间:2005-12-02

M/G/1 Queue with Multiple Adaptive Vacation, Server Set-Up Times and Impatient Waiting
YU Yan-hui,TIAN Nai-shuo,SUN Wei,GAO Chun-yan. M/G/1 Queue with Multiple Adaptive Vacation, Server Set-Up Times and Impatient Waiting[J]. Operations Research and Management Science, 2006, 15(4): 85-90
Authors:YU Yan-hui  TIAN Nai-shuo  SUN Wei  GAO Chun-yan
Affiliation:School of Science, Yanshan University, Qinhuangdao 066004, China
Abstract:In this paper we consider a continuous time queuing model with multiple vacation, set-uptime and impatient waiting. We derive the generating function of the steady state queue length, the LST of the waiting time distribution and the stochastic decomposition. We also get the mean between the busy period and the whole vacation.
Keywords:multiple adaptive vacation   set-up time   impatient waiting   stochastic decomposition   continuous queue
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