arXiv:0708.1718 Abstract | arXiv Analytics

arXiv:0708.1718 [math.PR]Abstract References Reviews Resources

Dynamics of Jackson networks: perturbation theory

Published 2007-08-13Version 1

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.

Comments: 15 pages, 1 figure

Categories: math.PR

Keywords: jackson network, perturbation theory, doi-peliti second quantization method, time busy-busy correlations, reaction diffusion systems

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