Busy period analysis for the GI/M/1 queue with phase-type vacations

被引：2
|
作者：
Kim, Kilhwan [2 ]
Yang, Won Seok [1 ]
机构：
[1] Hannam Univ, Dept Business Adm, Taejon 306791, South Korea
[2] Elect & Telecommun Res Inst, Taejon 305700, South Korea
来源：
JOURNAL OF THE KOREAN STATISTICAL SOCIETY | 2011年 / 40卷 / 01期
关键词：
Queueing; Busy period; Multiple vacations; GI/M/1; queues; Phase-type distributions; GENERAL INPUT QUEUE; N-POLICY; EXPONENTIAL VACATIONS;
D O I：
10.1016/j.jkss.2010.04.006
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We consider the busy period in the GI/M/1 queue with multiple phase-type vacations. We derive the transform of the joint distribution of the length of a busy period, the number of customers served during the busy period, and the residual interarrival time at the instant the busy period ends. (C) 2010 The Korean Statistical Society. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：55 / 62
页数：8
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