TRANSIENT CHARACTERISTICS OF AN M/M/INFINITY SYSTEM

被引：34

作者：

GUILLEMIN, F ^{[1
]}

SIMONIAN, A ^{[1
]}

机构：

[1] FRANCE TELECOM,CNET PARIS A,F-92131 ISSY MOULINEAUX,FRANCE

来源：

ADVANCES IN APPLIED PROBABILITY | 1995年 / 27卷 / 03期

关键词：

TRANSIENT ANALYSIS; POINT PROCESS THEORY; ANALYTIC FUNCTION THEORY; SPECIAL FUNCTIONS;

D O I：

10.2307/1428137

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：

Convergence results are given for transient characteristics of an M/M/infinity system such as the period of time the occupation process remains above a given state, the area swept by this process above this state and the number of customers arriving during this period. These results are precise in contrast to approximations derived in the framework of the Poisson clumping heuristic introduced by Aldous.

引用

页码：862 / 888

页数：27