This book treats the mathematics of queueing theory and some related areas,
as well as the basic mathematical tools for the study of such models.
It thus aims to serve as an introduction to queueing theory, to provide
a thorough treatment of tools such as Markov processes, renewal theory,
random walks, L´evy processes, matrix–analytic methods and change of
measure, and to treat in some detail basic structures such as the GI/G/1
and GI/G/s queues, Markov–modulated models, queueing networks, and
models within the areas of storage, inventory and insurance risk. Within
this framework the choice of topics is, however, rather traditional. The aim
has been to present what I consider the basic knowledge in the area, not
to advocate special directions in which the area is at present developing.

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