Download PDF Probability, Stochastic Processes, and Queueing Theory: The Mathematics of Computer Performance Modeling, by Randolph Nelson
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Probability, Stochastic Processes, and Queueing Theory: The Mathematics of Computer Performance Modeling, by Randolph Nelson
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We will occasionally footnote a portion of text with a "**,, to indicate Notes on the that this portion can be initially bypassed. The reasons for bypassing a Text portion of the text include: the subject is a special topic that will not be referenced later, the material can be skipped on first reading, or the level of mathematics is higher than the rest of the text. In cases where a topic is self-contained, we opt to collect the material into an appendix that can be read by students at their leisure. The material in the text cannot be fully assimilated until one makes it Notes on "their own" by applying the material to specific problems. Self-discovery Problems is the best teacher and although they are no substitute for an inquiring mind, problems that explore the subject from different viewpoints can often help the student to think about the material in a uniquely per sonal way. With this in mind, we have made problems an integral part of this work and have attempted to make them interesting as well as informative.
- Sales Rank: #8221548 in Books
- Published on: 2013-10-04
- Released on: 2013-10-04
- Original language: English
- Number of items: 1
- Dimensions: 10.00" h x 1.38" w x 7.01" l, 2.31 pounds
- Binding: Paperback
- 584 pages
From the Back Cover
This textbook provides a comprehensive introduction to probability and stochastic processes, and shows how these subjects may be applied in computer performance modeling. The author's aim is to derive probability theory in a way that highlights the complementary nature of its formal, intuitive, and applicative aspects while illustrating how the theory is applied in a variety of settings. Readers are assumed to be familiar with elementary linear algebra and calculus, including being conversant with limits, but otherwise, this book provides a self-contained approach suitable for graduate or advanced undergraduate students. The first half of the book covers the basic concepts of probability, including combinatorics, expectation, random variables, and fundamental theorems. In the second half of the book, the reader is introduced to stochastic processes. Subjects covered include renewal processes, queueing theory, Markov processes, matrix geometric techniques, reversibility, and networks of queues. Examples and applications are drawn from problems in computer performance modeling. Throughout, large numbers of exercises of varying degrees of difficulty will help to secure a reader's understanding of these important and fascinating subjects.
Most helpful customer reviews
9 of 10 people found the following review helpful.
Comprehensive and systematic.
By A Customer
This book is suitable for my graduate studies on computer performance. The author directs us from combinatorics, distribution theory, queue theory to queueing networks in a systematic way. I have read the book at ease for its stepwise elaboration of concepts. However, I have also read with hardship as it requires the readers to possess a good command of mathematics, both pure and applied, in order to go through the book.
For a mathematics graduate studying computer networks, I recommend this book. A novice or a mediocrity should pay more patience to read if not yet at a loss.
This book has aroused my interest and eagerness to know more about computer performance from the viewpoint of queueing and networking. In a word, I enjoy reading this book.
3 of 3 people found the following review helpful.
Excellent Book
By Said Zaghloul
This book provides an excellent introduction to Discrete Distributions and their relationships in a sense that goes beyond the classical presenation in other text books. It has excellent introductory chapters on Markov Processes and Matrix Geormetric Systems. I think this book is a great book that can help in courses in Queuing and probability theory.
4 of 5 people found the following review helpful.
Great reference for probability and related studies.
By Patrick Lam
I have not really read this book chapter by chapter, but I always found in this book the information I needed. I initially borrowed this book from library, only to find that I simply need this book to be on my shelf for convenient reference whenever I need to understand a concept or analysis I come across somewhere else!
I only use this book as a reference, but it is a good one. I do not give it 5 stars simply because I am not sure whether all the chapters in the book are equally well written. But for the chapters (or pages) I have read, it is a great one.
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