Two limit theorems for queueing systems around the convergence of stochastic integrals with respect to renewal processes
type: Item
instance of: scholarly article
title: Two limit theorems for queueing systems around the convergence of stochastic integrals with respect to renewal processes
zbMATH Open document ID: 0962.60085
DOI: 10.1016/S0304-4149(98)00073-8
author: Keigo Yamada
published in: Stochastic Processes and their Applications
publication date: 2001-01-17T00:00:00Z
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 60H05
zbMATH DE Number: 1554294
zbMATH Keywords: convergence of stochastic integrals
zbMATH Keywords: renewal processes
zbMATH Keywords: queueing systems with vacations
zbMATH Keywords: sticky diffusion limits
zbMATH Keywords: occupation time problems for open queueing networks
MaRDI profile type: Publication
cites work: Q3959169
cites work: Calcul stochastique et problèmes de martingales
cites work: Q3774629
cites work: Q1099492
cites work: Weak limit theorems for stochastic integrals and stochastic differential equations
cites work: Q3995465
cites work: Open Queueing Networks in Heavy Traffic
cites work: A boundary property of semimartingale reflecting Brownian motions
cites work: Q3218851
cites work: Q5731904
cites work: Stability of strong solutions of stochastic differential equations
cites work: A limit theorem for functionals of jumps of birth and death processes under heavy traffic condition
cites work: Reflecting or sticky Markov processes with Lévy generators as the limit of storage processes
description: scientific article; zbMATH DE number 1554294