# Queueing Theory

## A Linear Algebraic Approach

• Lester Lipsky
Book

1. Front Matter
Pages i-xxii
2. Lester Lipsky
Pages 1-32
3. Lester Lipsky
Pages 33-75
4. Lester Lipsky
Pages 77-183
5. Lester Lipsky
Pages 185-286
6. Lester Lipsky
Pages 287-355
7. Mona Singh
Pages 357-420
8. Mona Singh
Pages 421-451
9. Lester Lipsky
Pages 453-504
10. Lester Lipsky
Pages 505-525
11. Back Matter
Pages 527-548

### Introduction

Queueing Theory deals with systems where there is contention for

resources, but the demands are only known probabilistically. This book can

be considered as either a monograph or a textbook on the subject, and thus

is aimed at two audiences. It can be useful for those who already know

queueing theory, but would like to know more about the linear algebraic approach.

It can also be used as a textbook in a first course on queueing theory for

students who feel more comfortable with matrices and algebraic arguments than

with probability theory. The equations are well-suited to easy computation.

The text has much discussion on how various properties can be computed using any

language that has built-in matrix operations (e.g., MATLAB, Mathematica, Maple).

To help with physical insight, there are over 80 figures, numerous examples,

and many exercises distributed throughout the book.

There are over 50 books on queueing theory that are available today and

most practitioners have several of them on their shelves. Because of its

unusual approach, this book would be an excellent addition. It would also

make a good supplement where another book was selected as the primary text

for a course in system performance modelling.

This second edition has been greatly expanded and updated thoughout, including

a new chapter on semi-Markov processes and new material on representations

of distributions. In particular, there is much discussion of power-tailed

distributions and their effects on queues.

Lester Lipsky is a professor in the Department of Computer Science and

Engineering at the University of Connecticut.

### Keywords

M/G/1 queue M/M/1 queue MATLAB Markov process Matrix algebra computer science linear algebra linear optimization queueing theory

#### Authors and affiliations

• Lester Lipsky
• 1
1. 1.Dept. Computer Science & EngineeringUniversity of ConnecticutStorrsU.S.A.

### Bibliographic information

• DOI https://doi.org/10.1007/978-0-387-49706-8
• Copyright Information Springer-Verlag New York 2009
• Publisher Name Springer, New York, NY
• eBook Packages Mathematics and Statistics
• Print ISBN 978-0-387-49704-4
• Online ISBN 978-0-387-49706-8