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Sample path large deviations for queueing networks with Bernoulli routing

Marc Lelarge
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Abstract

This paper is devoted to the problem of sample path large deviations for multidimensional queueing models with feedback. We derive a new version of the contraction principle where the continuous map is not well-defined on the whole space: we give conditions under which it allows to identify the rate function. We illustrate our technique by deriving a large deviation principle for a class of networks that contains the classical Jackson networks.

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Marc Lelarge. 2006-02-07. Sample path large deviations for queueing networks with Bernoulli routing. https://arxiv.org/abs/math/0602130

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