Flow level convergence and insensitivity for multi-class queueing networks

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

2011-02-15

arxiv.org/abs/1102.3144v1

Mathematics

Probability

29 pages

Scientific paper

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 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.

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