April 2021
Intermediate to advanced
336 pages
8h 15m
English
Content preview from Queueing Theory 2
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Preface
Vladimir ANISIMOV1 and Nikolaos LIMNIOS2
1Amgen Inc., London, United Kingdom
2University of Technology of Compiègne, France
Queueing theory is a huge and very rapidly developing branch of science belonging to probability theory and stochastic modelling that originated a long time ago from the pioneering works by Erlang (1909) on the analysis of the models for telephone communication using Poisson processes. Later on, these results were extended further in different directions in the works of such famous mathematicians as Pollaczek, Khinchin, Kendall, Kleinrock and many others.
Nowadays, queueing theory is rapidly growing in various areas including a theoretical analysis of queueing models and networks of rather complicated structure using rather sophisticated mathematical models and various types of stochastic processes. It also includes very wide areas of modern applications: computing and telecommunication networks, traffic engineering, mobile telecommunications, etc.
The aim of this second volume, together with Volume 1, is to reflect the current cutting-edge thinking and established practices in the analysis and applications of queueing models.
This volume includes 8 chapters written by experts well-known in their areas.
Two chapters, Chapters 1 and 7, are devoted to investigating a stability analysis of some types of multiserver regenerative queueing systems with heterogeneous servers and a regenerative input flow using synchronization of the input and majorizing ...
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