Stochastic Queues
Vladimir V. Anisimov(Author)
ISTE Ltd (Publisher)
Book
Hardback
352 pages
978-1-905209-67-5 (ISBN)
The article will not be published
Description
The book is devoted to developing of the asymptotic theory for the class of switching queuing models which covers state-dependent models in a Markov or semi-Markov environment, models under the influence of flows of external or internal perturbations, unreliable and hierarchic networks, etc. Switching processes, invented by the author in 1977, is the main tool used in the investigation. Asymptotic results for processes with rare switching provide a new approach to low traffic problems, to the analysis of flows of rare events and asymptotic aggregation of state space in queuing models. In the case of fast switching, averaging principle and diffusion approximation results are proved and applied to the investigation of transient phenomena for wide classes of overloading queuing Markov and semi-Markov networks and hierarchic models in different time scales. The book contains many practical examples and is aimed at researchers, postgraduate students and engineers specializing in mathematics, stochastic modeling and other related applications.
More details
Language
English
Place of publication
London
United Kingdom
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 234 mm
Width: 156 mm
ISBN-13
978-1-905209-67-5 (9781905209675)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Other editions
New editions

Vladimir Anisimov
Switching Processes in Queueing Models
Book
08/2008
1st Edition
Wiley-ISTE
€188.50
Article not available at the moment
Person
Vladimir V. Anisimov is currently Associate Director of the Research Statistics Unit, GlaxoSmithKline, UK. He has authored about 200 papers and 9 books and manuals in this area.
Content
1. Switching Stochastic Models. 2. Average Principle (AP) and Diffusion Approximation (DA) for Switching Processes. 3. Averaging Methods (AP and DA) in Overloaded Queuing Systems and Networks. 4. Limit Theorems for Switching Processes with Rare Switching. 5. Asymptotic Aggregation (Merging) of States of Stochastic Systems. 6. Averaging and Aggregation of Queuing Systems in Low Traffic Conditions. 7. Asymptotic Aggregation of Overloaded Switching Queuing Models. 8. Other Applications of Switching Models.