English

Dynamics of Jackson networks: perturbation theory

Probability 2007-08-14 v1

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.

Keywords

Cite

@article{arxiv.0708.1718,
  title  = {Dynamics of Jackson networks: perturbation theory},
  author = {Reuven Zeitak},
  journal= {arXiv preprint arXiv:0708.1718},
  year   = {2007}
}

Comments

15 pages, 1 figure

R2 v1 2026-06-21T09:07:02.904Z