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# Applications of Queueing Theory

• G. F. Newell
Book

Part of the Monographs on Statistics and Applied Probability book series (EMISS, volume 4)

## Table of contents

1. Front Matter
Pages i-xvi
2. G. F. Newell
Pages 1-23
3. G. F. Newell
Pages 25-52
4. G. F. Newell
Pages 53-104
5. G. F. Newell
Pages 105-142
6. G. F. Newell
Pages 143-176
7. G. F. Newell
Pages 177-213
8. G. F. Newell
Pages 215-236
9. G. F. Newell
Pages 237-261
10. G. F. Newell
Pages 263-291
11. Back Matter
Pages 293-303

## About this book

### Introduction

The literature on queueing theory is already very large. It contains more than a dozen books and about a thousand papers devoted exclusively to the subject; plus many other books on probability theory or operations research in which queueing theory is discussed. Despite this tremendous activity, queueing theory, as a tool for analysis of practical problems, remains in a primitive state; perhaps mostly because the theory has been motivated only superficially by its potential applications. People have devoted great efforts to solving the 'wrong problems. ' Queueing theory originated as a very practical subject. Much ofthe early work was motivated by problems concerning telephone traffic. Erlang, in particular, made many important contributions to the subject in the early part of this century. Telephone traffic remained one of the principle applications until about 1950. After World War II, activity in the fields of operations research and probability theory grew rapidly. Queueing theory became very popular, particularly in the late 1950s, but its popularity did not center so much around its applications as around its mathematical aspects. With the refine­ ment of some clever mathematical tricks, it became clear that exact solutions could be found for a large number of mathematical problems associated with models of queueing phenomena. The literature grew from 'solutions looking for a problem' rather than from 'problems looking for a solution.

### Keywords

Erlang Fusion M/M/1 queue Poisson distribution approximation behavior distribution modeling operations research probability queueing theory server storage system types

#### Authors and affiliations

• G. F. Newell
• 1
1. 1.University of CaliforniaBerkeleyUSA

### Bibliographic information

• DOI https://doi.org/10.1007/978-94-009-5970-5
• Copyright Information Springer Science+Business Media B.V. 1982
• Publisher Name Springer, Dordrecht
• eBook Packages
• Print ISBN 978-94-009-5972-9
• Online ISBN 978-94-009-5970-5
• Buy this book on publisher's site