On the transient departure process of Mx/G/1 queueing system with single server vacation

被引：8

作者：

Tang, Yinghui ^{[1
]}

机构：

[1] Sichuan Normal Univ, Sch Math & Software Sci, Chengdu 610066, Peoples R China

来源：

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2007年 / 20卷 / 04期

关键词：

asymptotic expansion; expected number; group arrival; server vacation;

D O I：

10.1007/s11424-007-9054-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the transient departure process of M-x/G/1 queueing system with single server vacation. We present a simple probability decomposition method to derive the expected number of departures occurring in finite time interval from any initial state and the asymptotic expansion of the expected number. Especially, we derive some more practical results for some special cases.

引用

页码：562 / 571

页数：10

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