The discrete-time Geom/G/1 queue with multiple adaptive vacations and server Setup/Closedown times

被引：1
|
作者：
Sun, Wei [1 ]
Zhang, Hongke [2 ]
Tian, Naishuo [3 ]
机构：
[1] Yanshan Univ, Coll Informat Sci & Engn, Qinhuangdao 066004, Peoples R China
[2] Beijing Jiaotong Univ, Sch Elect & Informat Engn, Beijing 100044, Peoples R China
[3] Yanshan Univ, Coll Sci, Qinhuangdao 066004, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE AND ENGINEERING MANAGEMENT | 2007年 / 2卷 / 04期
基金：
中国国家自然科学基金;
关键词：
discrete-time queues; multiple adaptive vacations; embedded Markov chain; stochastic decomposition; setup/closedown times;
D O I：
10.1080/17509653.2007.10671028
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, we discuss the discrete-time Geom/G/1 queue with multiple adaptive vacations and server setup/closedown times. We consider two types of closedown time policies which differ from each other in the completion instant of the closedown times and contrast the effects of them on the queueing system. We derive the probability generating functions (PGFs) and stochastic decomposition results of the steady-state queue length and waiting time distributions through the method of embedded Markov chain in both cases. Many discussed models related to Geom/G/1 queue are special cases of our model.
引用
收藏
页码：289 / 296
页数：8
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