TRANSIENT ANALYSIS OF THE M/M/1 QUEUE

被引：28

作者：

LEGUESDRON, P ^{[1
]}

PELLAUMAIL, J ^{[1
]}

RUBINO, G ^{[1
]}

SERICOLA, B ^{[1
]}

机构：

[1] INRIA,IRISA,F-35042 RENNES,FRANCE

来源：

ADVANCES IN APPLIED PROBABILITY | 1993年 / 25卷 / 03期

关键词：

UNIFORMIZATION; GENERATING FUNCTION;

D O I：

10.2307/1427531

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：

A new approach is used to obtain the transient probabilities of the M/M/1 queueing system. The first step of this approach deals with the generating function of the transient probabilities of the uniformized Markov chain associated with this queue. The second step consists of the inversion of this generating function. A new analytical expression of the transient probabilities of the M/M/1 queue is then obtained.

引用

页码：702 / 713

页数：12

共 14 条

[1] CALCULATING TIME-DEPENDENT PERFORMANCE-MEASURES FOR THE M/M/1 QUEUE [J].