Mathematical Methods in Queuing Theory

Vladimir V. Kalashnikov

ISBN 10: 0792325680 / ISBN 13: 9780792325680

Published by Kluwer Academic Publishers, US, 1993

About this Item

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.

Seller Inventory # LU-9780792325680

Bibliographic Details

• Title: Mathematical Methods in Queuing Theory
• Publisher: Kluwer Academic Publishers, US
• Publication Date: 1993
• Language: English
• ISBN 10: 0792325680
• ISBN 13: 9780792325680
• Binding: Hardback
• Edition: 1994 ed.
• Condition: New
• Dimensions: 15.6W x 2.24H x 23.39D centimeters 15.6 centimeters width by 2.24 centimeters height by 23.39 centimeters depth
• Weight: 721 grams

About this title

Synopsis

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.

Synopsis

This volume presents an overview of mathematical methods used in queuing theory and gives various examples of solutions of problems using these methods. Many of the topics considered are not traditional, and include general Markov processes, test functions, coupling methods, probability metrics, continuity of queues, quantitative estimates in continuity, convergence rate to the stationary state and limit theorems for the first occurrence times. Much attention is also devoted to the modern theory of regenerative processes. Each chapter concludes with problems and comments on the literature cited. This work is designed for researchers and graduate students in applied probability, operations research and computer science.