Patterns of buffer overflow in a class of queues with long memory in the input stream
type: Item
instance of: scholarly article
title: Patterns of buffer overflow in a class of queues with long memory in the input stream
zbMATH Open document ID: 0905.60070
author: David Heath
author: Sidney I. Resnick
author: Gennady Samorodnitsky
published in: The Annals of Applied Probability
publication date: 1999-01-19T00:00:00Z
review text: The authors consider a G/G/1/\(L\) queue with finite buffer capacity \(L\) and determine time to buffer overflow. The arrival process is produced by an on/off source with heavy tailed on-distribution. The mean time to overflow increases polynomially fast with increasing capacity \(L\), contrary to the classical case with light tales for the on-distribution. Pooling of resources in case of superposition of several such arrival processes is investigated.
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B15
zbMATH DE Number: 1121391
zbMATH Keywords: long range dependence
zbMATH Keywords: heavy tails
zbMATH Keywords: G/G/1
zbMATH Keywords: level crossing
reviewed by: Hans Daduna
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aoap/1043862423
OpenAlex ID: W2073715420
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DOI: 10.1214/AOAP/1043862423
description: scientific article; zbMATH DE number 1121391