Mathematics and Its Applications

By: Vladimir V. Kalashnikov

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Hardcover | 31 December 1993

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392 Pages

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25.4 x 17.15 x 2.54

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The material of this book is based on several courses which have been delivered for a long time at the Moscow Institute for Physics and Technology. Some parts have formed the subject of lectures given at various universities throughout the world: Freie Universitat of Berlin, Chalmers University of Technology and the University of Goteborg, University of California at Santa Barbara and others. The subject of the book is the theory of queues. This theory, as a mathematical discipline, begins with the work of A. Erlang, who examined a model of a telephone station and obtained the famous formula for the distribution of the number of busy lines which is named after him. Queueing theory has been applied to the study of numerous models: emergency aid, road traffic, computer systems, etc. Besides, it has lead to several related disciplines such as reliability and inventory theories which deal with similar models. Nevertheless, many parts of the theory of queues were developed as a "pure science" with no practical applications. The aim of this book is to give the reader an insight into the mathematical methods which can be used in queueing theory and to present examples of solving problems with the help of these methods. Of course, the choice of the methods is quite subjective. Thus, many prominent results have not even been mentioned.

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Non-Fiction Mathematics Probability & Statistics Business & Management Operational Research Applied Mathematics Stochastics Reference, Information & Interdisciplinary Subjects Research & Information Information theory Cybernetics & Systems Theory

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Paperback

Published: 5th December 2010

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Preface	p. 1
Queueing Theory	p. 5
Necessary Facts from Probability Theory and the Theory of Analytic Functions	p. 16
Random Flows	p. 54
Elementary Methods in Queueing Theory	p. 80
Markov Chains	p. 103
Renewal Processes	p. 163
Regenerative Processes	p. 201
Discrete Time Markov Queueing Models	p. 233
Markov Queueing Models	p. 261
Method of Supplementary Variables	p. 296
First-Occurrence Events	p. 322
References	p. 364
List of Notations and Abbreviations	p. 369
Subject Index	p. 370
Table of Contents provided by Blackwell. All Rights Reserved.

Mathematics and Its Applications

At a Glance

Hardcover

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How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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