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Dynamics of Jackson networks: perturbation theory

2007/08/13 by Zeitak, Reuven
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.0708.1718

Abstract

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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