Stochastic Models in Reliability and Maintenance

  • Shunji Osaki

Table of contents

  1. Front Matter
    Pages I-XII
  2. Tadashi Dohi, Naoto Kaio, Shunji Osaki
    Pages 1-30
  3. Masamitsu Ohnishi
    Pages 31-63
  4. Naoto Kaio, Tadashi Dohi, Shunji Osaki
    Pages 65-87
  5. Toshio Nakagawa
    Pages 125-143
  6. Toshio Nakagawa
    Pages 165-191
  7. Hajime Kawai, Junji Koyanagi, Masamitsu Ohnishi
    Pages 193-218
  8. Shigeru Yamada
    Pages 253-280
  9. Kazumi Yasui, Toshio Nakagawa, Hiroaki Sandoh
    Pages 281-306
  10. C. Papadopoulos, N. Limnios
    Pages 307-333
  11. Back Matter
    Pages 335-338

About this book


Our daily lives can be maintained by the high-technology systems. Computer systems are typical examples of such systems. We can enjoy our modern lives by using many computer systems. Much more importantly, we have to maintain such systems without failure, but cannot predict when such systems will fail and how to fix such systems without delay. A stochastic process is a set of outcomes of a random experiment indexed by time, and is one of the key tools needed to analyze the future behavior quantitatively. Reliability and maintainability technologies are of great interest and importance to the maintenance of such systems. Many mathematical models have been and will be proposed to describe reliability and maintainability systems by using the stochastic processes. The theme of this book is "Stochastic Models in Reliability and Main­ tainability. " This book consists of 12 chapters on the theme above from the different viewpoints of stochastic modeling. Chapter 1 is devoted to "Renewal Processes," under which classical renewal theory is surveyed and computa­ tional methods are described. Chapter 2 discusses "Stochastic Orders," and in it some definitions and concepts on stochastic orders are described and ag­ ing properties can be characterized by stochastic orders. Chapter 3 is devoted to "Classical Maintenance Models," under which the so-called age, block and other replacement models are surveyed. Chapter 4 discusses "Modeling Plant Maintenance," describing how maintenance practice can be carried out for plant maintenance.


Markov Markov process Simulation Stochastic models calculus communication maintenance model modeling numerical methods optimization reliability renewal theory statistical method stochastic systems

Editors and affiliations

  • Shunji Osaki
    • 1
  1. 1.Department of Information & Telecommunication Engineering, Faculty of Mathematical Sciences and Information EngineeringNanzan UniversitySeto-Shi, AichiJapan

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-07725-8
  • Online ISBN 978-3-540-24808-8