Dynamics of Jackson networks: perturbation theory

Details Dynamics of Jackson networks: perturbation theory Dynamics of Jackson networks: perturbation theory

2007-08-13

arxiv.org/abs/0708.1718v1

Mathematics

Probability

15 pages, 1 figure

Scientific paper

We introduce a new formalism for dealing with networks of queues. The
formalism is based on the Doi-Peliti second quantization method for reaction
diffusion systems. As a demonstration of the method's utility we compute
perturbatively the different time busy-busy correlations between two servers in
a Jackson network.

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