Dynamics of Jackson networks: perturbation theory
Reuven Zeitak
TL;DR
This paper introduces a novel formalism based on the Doi-Peliti method for analyzing Jackson networks, enabling perturbative computation of server correlations.
Contribution
It presents a new formalism for queue networks using reaction diffusion system techniques, specifically applying perturbation theory to Jackson networks.
Findings
Computed time busy-busy correlations perturbatively
Demonstrated the formalism's utility in network analysis
Provided a new analytical approach for queue network dynamics
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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Taxonomy
TopicsAdvanced Queuing Theory Analysis · Opinion Dynamics and Social Influence · Complex Network Analysis Techniques