ASYMPTOTIC ANALYSIS OF SINGLE RESOURCE LOSS SYSTEMS IN HEAVY TRAFFIC, WITH APPLICATIONS TO INTEGRATED NETWORKS

被引：34

作者：

BEAN, NG

GIBBENS, RJ

ZACHARY, S

机构：

[1] UNIV CAMBRIDGE,STAT LAB,CAMBRIDGE CB2 1SB,ENGLAND

[2] HERIOT WATT UNIV,DEPT ACTUARIAL MATH & STAT,EDINBURGH EH14 4AS,MIDLOTHIAN,SCOTLAND

来源：

ADVANCES IN APPLIED PROBABILITY | 1995年 / 27卷 / 01期

关键词：

LOSS NETWORKS; TIME-SCALE SEPARATION; TRUNK RESERVATION; BLOCKING PROBABILITIES;

D O I：

10.2307/1428107

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 consider the analysis of call blocking at a single resource with differing capacity requirements as well as differing arrival rates and holding times. We include in our analysis trunk reservation parameters which provide an important mechanism for tuning. the relative call blockings to desired levels. We base our work on an asymptotic regime where the resource is in heavy traffic. We further derive, from our asymptotic analysis, methods for the analysis of finite systems. Empirical results suggest that these methods perform well for a wide class of examples.

引用

页码：273 / 292

页数：20