Transience of multiclass queueing networks via fluid limit models
type: Item
instance of: scholarly article
title: Transience of multiclass queueing networks via fluid limit models
zbMATH Open document ID: 0865.60079
published in: The Annals of Applied Probability
publication date: 1997-07-07T00:00:00Z
review text: \textit{J. G. Dai} [ibid. 5, No. 1, 49-77 (1995; Zbl 0822.60083)] and \textit{J. G. Dai} and the author [IEEE Trans. Autom. Control 40, No. 11, 1889-1904 (1995; Zbl 0836.90074)] have demonstrated the stability of the stochastic system via the stability of a fluid approximation. The author establishes a converse result to obtain criteria for transience for stochastic queueing networks based on a fluid limit model. In particular, he shows that if the fluid limit model explodes at a linear rate, then the associated queueing network with independent and identically distributed service times and a renewal arrival process explode faster than any fractional power.
reviewed by: P. R. Parthasarathy
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B25
Mathematics Subject Classification ID: 60K20
Mathematics Subject Classification ID: 90B35
zbMATH DE Number: 898164
zbMATH Keywords: queueing networks
zbMATH Keywords: stability
zbMATH Keywords: stability of a fluid approximation
author: Sean P. Meyn
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aoap/1177004601
OpenAlex ID: W2045168633
DOI: 10.1214/AOAP/1177004601
description: scientific article; zbMATH DE number 898164