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An Introduction to Queueing Theory - and Matrix-Analytic Methods (Paperback, Softcover reprint of hardcover 1st ed. 2005)
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An Introduction to Queueing Theory - and Matrix-Analytic Methods (Paperback, Softcover reprint of hardcover 1st ed. 2005)
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The present textbook contains the recordsof a two-semester course
on que- ing theory, including an introduction to matrix-analytic
methods. This course comprises four hours oflectures and two hours
of exercises per week andhas been taughtattheUniversity of Trier,
Germany, for about ten years in - quence. The course is directed to
last year undergraduate and?rst year gr- uate students of applied
probability and computer science, who have already completed an
introduction to probability theory. Its purpose is to present -
terial that is close enough to concrete queueing models and their
applications, while providing a sound mathematical foundation for
the analysis of these. Thus the goal of the present book is
two-fold. On the one hand, students who are mainly interested in
applications easily feel bored by elaborate mathematical questions
in the theory of stochastic processes. The presentation of the
mathematical foundations in our courses is chosen to cover only the
necessary results, which are needed for a solid foundation of the
methods of queueing analysis. Further, students oriented - wards
applications expect to have a justi?cation for their mathematical
efforts in terms of immediate use in queueing analysis. This is the
main reason why we have decided to introduce new mathematical
concepts only when they will be used in the immediate sequel. On
the other hand, students of applied probability do not want any
heur- tic derivations just for the sake of yielding fast results
for the model at hand.
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