Applied probability and queues. 2nd revised and extended ed. (English) Zbl 1029.60001

Applications of Mathematics 51. New York, NY: Springer (ISBN 0-387-00211-1/hbk; 978-1-4419-1809-3/pbk). xii, 438 p. (2003).
This book gives an introduction into the mathematics of queueing theory and some related fields like renewal theory on a graduate level. The first edition (Zbl 0624.60098) has been published in 1987. This second edition incorporates additional material including an extended treatment of queueing networks, and matrix-analytic methods as well as a number of additional topics, in particular Poisson’s equation, rare events and extreme values for regenerative processes, Skorokhod problems, and Lévy processes. The book is highly recommendable to graduate students having a thorough background in probability theory.


60-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to probability theory
60K25 Queueing theory (aspects of probability theory)
60Kxx Special processes
60K10 Applications of renewal theory (reliability, demand theory, etc.)


Zbl 0624.60098
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