Large Deviations for Gaussian Queues (PDF)

In recent years the significance of Gaussian processes to
communication networks has grown considerably. The inherent
flexibility of the Gaussian traffic model enables the analysis, in
a single mathematical framework, of systems with both long-range
and short-range dependent input streams.

Large Deviations for Gaussian Queues demonstrates how the
Gaussian traffic model arises naturally, and how the analysis of
the corresponding queuing model can be performed. The text provides
a general introduction to Gaussian queues, and surveys recent
research into the modelling of communications networks. Coverage
includes:

* Discussion of the theoretical concepts and practical aspects
related to Gaussian traffic models.

* Analysis of recent research asymptotic results for Gaussian
queues, both in the large-buffer and many-sources regime.

* An emphasis on rare-event analysis, relying on a variety of
asymptotic techniques.

* Examination of single-node FIFO queuing systems, as well as
queues operating under more complex scheduling disciplines, and
queuing networks.

* A set of illustrative examples that directly relate to
important practical problems in communication networking.

* A large collection of instructive exercises and accompanying
solutions.

Large Deviations for Gaussian Queues assumes minimal
prior knowledge. It is ideally suited for postgraduate students in
applied probability, operations research, computer science and
electrical engineering. The book's self-contained style makes
it perfect for practitioners in the communications networking
industry and for researchers in related areas.