Ebook: Queueing Theory: A Linear Algebraic Approach
Author: Lester Lipsky (auth.)
- Genre: Mathematics // Algebra
- Tags: Operations Research Management Science, Operation Research/Decision Theory, Information Systems and Communication Service, Probability Theory and Stochastic Processes, Game Theory/Mathematical Methods, Algorithm Analysis and Problem Com
- Year: 2009
- Publisher: Springer-Verlag New York
- Edition: 2
- Language: English
- pdf
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.
This book is an excellent introduction to queueing analysis using matrix analytic techiques. The book is very readable and the author provides numerous examples to illustrate crucial points. Analysis of the M/M/1, M/G/1, GI/M/1, M/G/C, and GI/G/1 queues and variants are performed via a consistent framework. Also, the author presents an introduction to busy period analyses which is interesting. The only comparable books are by Marcel Neuts, however, Neut's treatment is geared towards researchers or graduate students in the field.