Two coupled Levy queues with independent input
Probability
2013-06-11 v1
Abstract
We consider a pair of coupled queues driven by independent spectrally-positive Levy processes. With respect to the bi-variate workload process this framework includes both the coupled processor model and the two-server fluid network with independent Levy inputs. We identify the joint transform of the stationary workload distribution in terms of Wiener-Hopf factors corresponding to two auxiliary Levy processes with explicit Laplace exponents. We reinterpret and extend the ideas of Cohen and Boxma (1983) to provide a general and uniform result with a neat transform expression.
Keywords
Cite
@article{arxiv.1306.2229,
title = {Two coupled Levy queues with independent input},
author = {Onno Boxma and Jevgenijs Ivanovs},
journal= {arXiv preprint arXiv:1306.2229},
year = {2013}
}