Probability, Stochastic Processes, and Queueing Theory

The Mathematics of Computer Performance Modeling

By: Randolph Nelson

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Hardcover | 18 February 2000

At a Glance

Hardcover
616 Pages

Dimensions(cm)
25.4 x 17.78 x 3.33

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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.

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You Can Find This Book In

Non-Fiction Mathematics Applied Mathematics Stochastics Probability & Statistics Computing & I.T.Computer Science Mathematical Theory of Computation Maths for Computer Scientists Graphical & Digital Media Applications 3D Graphics & Modelling Engineering & Technology

Technology in General Engineering in General Digital Lifestyle & Online World: Consumer & User Guides Portable & Handheld Devices User Guides Systems Analysis & Design Computer Architecture & Logic Design

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Paperback

Published: 29th October 2010

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Preface
Acknowledgements
List of Figures
List of Tables
Introduction
Probability: Randomness and Probability
Combinatorics
Random Variables and Distributions
Expectation and Fundamental Theorems
Stochastic Processes: The Poisson Process and Renewal Theory
The M/G/1 Queue
Markov Processes
Matrix Geometric Solutions
Queueing Networks
Epilogue and Special Topics
Types of Randomness
Combinatorial Equalities and Inequalities
Tables of Laplace Transforms and Generating Functions
Limits and Order Relationships
List of Common Summations
Bibliography
References
Index of Notation
Index
Table of Contents provided by Publisher. All Rights Reserved.

Probability, Stochastic Processes, and Queueing Theory

The Mathematics of Computer Performance Modeling

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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