On the exact asymptotics of the busy period in GI/G/1 queues

被引：9
|
作者：
Palmowski, Zbigniew
Rolski, Tomasz
机构：
[1] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland
[2] Univ Utrecht, NL-3508 TC Utrecht, Netherlands
来源：
ADVANCES IN APPLIED PROBABILITY | 2006年 / 38卷 / 03期
关键词：
GI/G/1; queue; busy period; workload process conditioned to stay positive; exponential change of measure; quasistationary distribution; exact asymptotics;
D O I：
10.1239/aap/1158685002
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：
In this paper we study the busy period in GI/G/1 work-conserving queues. We give the exact asymptotics of the tail distribution of the busy period under the light tail assumptions. We also study the workload process in the M/G/1 system conditioned to stay positive.
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页码：792 / 803
页数：12
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