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Probability, Stochastic Processes, and Queueing Theory

The Mathematics of Computer Performance Modeling

  • Textbook
  • © 1995

Overview

Authors:
  1. Randolph Nelson

    1. OTA Limited Partnership, Purchase, USA
      Modeling Methodology, IBM T.J. Watson Research Center, Yorktown Heights, USA

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About this book

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.

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xxviii
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  2. Introduction

    1. Introduction

      • Randolph Nelson
      Pages 1-14

  3. Probability

    1. Front Matter

      Pages 15-15
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    2. Randomness and Probability

      • Randolph Nelson
      Pages 17-44

    3. Combinatorics

      • Randolph Nelson
      Pages 45-99

    4. Random Variables and Distributions

      • Randolph Nelson
      Pages 101-165

    5. Expectation and Fundamental Theorems

      • Randolph Nelson
      Pages 167-231

  4. Stochastic Processes

    1. Front Matter

      Pages 233-233
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    2. The Poisson Process and Renewal Theory

      • Randolph Nelson
      Pages 235-282

    3. The M/G/1 Queue

      • Randolph Nelson
      Pages 283-327

    4. Markov Processes

      • Randolph Nelson
      Pages 329-389

    5. Matrix Geometric Solutions

      • Randolph Nelson
      Pages 391-428

    6. Queueing Networks

      • Randolph Nelson
      Pages 429-501

    7. Epilogue and Special Topics

      • Randolph Nelson
      Pages 503-512

  5. Back Matter

    Pages 513-583
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Authors and Affiliations

  • OTA Limited Partnership, Purchase, USA

    Randolph Nelson

  • Modeling Methodology, IBM T.J. Watson Research Center, Yorktown Heights, USA

    Randolph Nelson

Bibliographic Information

  • Book Title: Probability, Stochastic Processes, and Queueing Theory

  • Book Subtitle: The Mathematics of Computer Performance Modeling

  • Authors: Randolph Nelson

  • DOI: https://doi.org/10.1007/978-1-4757-2426-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1995

  • Hardcover ISBN: 978-0-387-94452-4Published: 13 June 1995

  • Softcover ISBN: 978-1-4419-2846-7Published: 29 October 2010

  • eBook ISBN: 978-1-4757-2426-4Published: 29 June 2013

  • Edition Number: 1

  • Number of Pages: XXVIII, 584

  • Topics: Probability Theory and Stochastic Processes, Statistics, general, Complexity, System Performance and Evaluation

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