Two coupled Levy queues with independent input

Onno Boxma; Jevgenijs Ivanovs

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arXiv · 1306.2229

Two coupled Levy queues with independent input

Onno Boxma·Jevgenijs Ivanovs

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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.

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BibTeX RIS

Onno Boxma, Jevgenijs Ivanovs. 2013-06-10. Two coupled Levy queues with independent input. https://arxiv.org/abs/1306.2229

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