Cover of: Switching processes in queueing models | V. V. Anisimov Read Online
Share

Switching processes in queueing models by V. V. Anisimov

  • 276 Want to read
  • ·
  • 11 Currently reading

Published by John Wiley & Sons in London, UK : ISTE, Hoboken, NJ .
Written in English

Subjects:

  • Telecommunication -- Switching systems -- Mathematical models,
  • Telecommunication -- Traffic -- Mathematical models,
  • Queuing theory

Book details:

Edition Notes

Includes bibliographical references and index.

StatementVladimir V. Anisimov.
Classifications
LC ClassificationsTK5102.985 .A55 2008
The Physical Object
Paginationp. cm.
ID Numbers
Open LibraryOL16638041M
ISBN 109781848210455
LC Control Number2008008995

Download Switching processes in queueing models

PDF EPUB FB2 MOBI RTF

The book is devoted to developing the asymptotic theory for the class of switching queuing models which covers models in a Markov or semi-Markov environment, models under the influence of flows of.   Switching processes, invented by the author in , is the main tool used in the investigation of traffic problems from automotive to telecommunications. The title provides a new approach to low traffic problems based on the analysis of flows of rare events and queuing models. In the case of fast switching, averaging principle and diffusion approximation results are proved and Author: Vladimir Anisimov. Switching Processes in Queueing Models Vladimir Anisimov, GlaxoSmithKline, UK ISBN: Publication Date: May Hardback pp. GPB, EUR, USD Description The book is devoted to developing the asymptotic theory for the class of switching queueing models . The book is devoted to developing the asymptotic theory for the class of switching queueing 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 , are the main tools used in the investigation.

is a platform for academics to share research papers. The paper is devoted to the asymptotic investigation of switching queueing systems and networks. The method of analysis uses the limit theorems of averaging principle and diffusion approximation types for the class of ”Switching Processes” developed by the author. This introductory textbook is designed for a one-semester course on queueing theory that does not require a course in stochastic processes as a prerequisite. By integrating the necessary background on stochastic processes with the analysis of models, the work provides a sound foundational introduction to the modeling and analysis of queueing systems for a broad interdisciplinary audience of students in mathematics, statistics, and applied disciplines such as computer science, operations. processes make the dynamics of service systems very complex. Consequently, it’s impossible to predict levels of congestion or to determine how much capacity is needed to achieve some desired level of performance without the help of a queueing model. Queueing theory was developed by A.K. Erlang in to help determine the capacity requirements.

"The book is devoted to developing the asymptotic theory for the class of switching queueing 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 , are the main tools used in the investigation. Queuing Theory is a collection of mathematical models of various queuing systems. It is used extensively to analyze production and service processes exhibiting random variability in market demand (arrival times) and service times. It also provides the technique . Description. This is a graduate level textbook that covers the fundamental topics in queuing theory. The book has a broad coverage of methods to calculate important probabilities, and gives attention to proving the general theorems. It includes many recent topics, such as server-vacation models, diffusion approximations and optimal operating policies, and more about bulk-arrival and bull-service models than other general texts. Components of a Queueing Model The calling population Finite or infinite (often approx. “very large”) Infinite pool: arrival rate not affected by the number of customers who have left the calling population and joined the queueing system. Finite pool: can affect arrival process The system capacity The arrival process Infinite pool.