Translator Disclaimer
2012 Flow-level convergence and insensitivity for multi-class queueing networks
Neil Stuart Walton
Stoch. Syst. 2(1): 115-148 (2012). DOI: 10.1214/11-SSY025


We consider a multi-class queueing network as a model of packet transfer in a communication network. We define a second stochastic model as a model of document transfer in a communication network where the documents transferred have a general distribution. We prove the weak convergence of the multi-class queueing process to the document transfer process. Our convergence result allows the comparison of general document size distributions, and consequently, we prove general insensitivity results for the limit queueing process. We discuss how this separation of time-scales method of proving insensitivity may be applied to other insensitive queueing systems.


Download Citation

Neil Stuart Walton. "Flow-level convergence and insensitivity for multi-class queueing networks." Stoch. Syst. 2 (1) 115 - 148, 2012.


Published: 2012
First available in Project Euclid: 24 February 2014

zbMATH: 1298.60094
MathSciNet: MR3352976
Digital Object Identifier: 10.1214/11-SSY025

Primary: 60G17, 60K25
Secondary: 90B18

Rights: Copyright © 2012 INFORMS Applied Probability Society


Vol.2 • No. 1 • 2012
Back to Top