The transient solution for M/G/1 queue with server vacations

被引：5

作者：

Tang, YH ^{[1
]}

机构：

[1] UNIV ELECT SCI & TECHNOL CHINA,DEPT MATH APPL,CHENGDU 610054,PEOPLES R CHINA

来源：

ACTA MATHEMATICA SCIENTIA | 1997年 / 17卷 / 03期

关键词：

server-vacation; queue length; transient solution; stochastic decomposition;

D O I：

10.1016/S0252-9602(17)30846-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the transient solutions for M/G/1 queues with single server vacation and multiple server vacations are firstly studied, and the recursion expressions of their Laplace transform are given. Further the distribution and stochastic decomposition result of the queue length at a random point in equilibrium are directly obtained from the transient solution. As will be seen this paper provides a intuitive and elegant method for studying transient solutions for M/G/1 queues with single server.

引用

页码：276 / 282

页数：7

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