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Flow-level convergence and insensitivity for multi-class queueing networks

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Author(s): Neil S. Walton

Journal: Stochastic Systems
ISSN 1946-5238

Volume: 2;
Issue: 1;
Start page: 115;
Date: 2012;
Original page

ABSTRACT
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.
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