Stochastic Processes

with Applications to Reliability Theory

  • Toshio Nakagawa

Part of the Springer Series in Reliability Engineering book series (RELIABILITY)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Toshio Nakagawa
    Pages 1-6
  3. Toshio Nakagawa
    Pages 7-46
  4. Toshio Nakagawa
    Pages 47-93
  5. Toshio Nakagawa
    Pages 95-121
  6. Toshio Nakagawa
    Pages 123-148
  7. Toshio Nakagawa
    Pages 149-181
  8. Toshio Nakagawa
    Pages 183-197
  9. Toshio Nakagawa
    Pages 199-217
  10. Back Matter
    Pages 219-251

About this book

Introduction

Reliability theory is of fundamental importance for engineers and managers involved in the manufacture of high-quality products and the design of reliable systems. In order to make sense of the theory, however, and to apply it to real systems, an understanding of the basic stochastic processes is indispensable.

As well as providing readers with useful reliability studies and applications, Stochastic Processes also gives a basic treatment of such stochastic processes as:

  • the Poisson process,
  • the renewal process,
  • the Markov chain,
  • the Markov process, and
  • the Markov renewal process.

Many examples are cited from reliability models to show the reader how to apply stochastic processes. Furthermore, Stochastic Processes gives a simple introduction to other stochastic processes such as the cumulative process, the Wiener process, the Brownian motion and reliability applications.

Stochastic Processes is suitable for use as a reliability textbook by advanced undergraduate and graduate students. It is also of interest to researchers, engineers and managers who study or practise reliability and maintenance. 

Keywords

Maintenance Optimization Probability Reliability Stochastic Process

Authors and affiliations

  • Toshio Nakagawa
    • 1
  1. 1., Dept. of Business administrationAichi Institute of TechnologyToyotaJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-85729-274-2
  • Copyright Information Springer-Verlag London Limited 2011
  • Publisher Name Springer, London
  • eBook Packages Engineering
  • Print ISBN 978-0-85729-273-5
  • Online ISBN 978-0-85729-274-2
  • Series Print ISSN 1614-7839
  • About this book