Advertisement

Point Processes for Reliability Analysis

Shocks and Repairable Systems

  • Ji Hwan Cha
  • Maxim Finkelstein

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

Table of contents

  1. Front Matter
    Pages i-xii
  2. Ji Hwan Cha, Maxim Finkelstein
    Pages 1-8
  3. Ji Hwan Cha, Maxim Finkelstein
    Pages 9-35
  4. Ji Hwan Cha, Maxim Finkelstein
    Pages 37-71
  5. Ji Hwan Cha, Maxim Finkelstein
    Pages 73-110
  6. Ji Hwan Cha, Maxim Finkelstein
    Pages 111-168
  7. Ji Hwan Cha, Maxim Finkelstein
    Pages 169-209
  8. Ji Hwan Cha, Maxim Finkelstein
    Pages 211-246
  9. Ji Hwan Cha, Maxim Finkelstein
    Pages 247-278
  10. Ji Hwan Cha, Maxim Finkelstein
    Pages 279-327
  11. Ji Hwan Cha, Maxim Finkelstein
    Pages 329-350
  12. Ji Hwan Cha, Maxim Finkelstein
    Pages 351-390
  13. Ji Hwan Cha, Maxim Finkelstein
    Pages 391-419

About this book

Introduction

Focusing on the theory and applications of point processes, Point Processes for Reliability Analysis naturally combines classical results on the basic and advanced properties of point processes with recent theoretical findings of the authors. It also presents numerous examples that illustrate how general results and approaches are applied to stochastic description of repairable systems and systems operating in a random environment modelled by shock processes.  

The real life objects are operating in a changing, random environment. One of the ways to model an impact of this environment is via the external shocks occurring in accordance with some stochastic point processes. The Poisson (homogeneous and nonhomogeneous) process, the renewal process and their generalizations are considered as models for external shocks affecting an operating system. At the same time these processes model the consecutive failure/repair times of repairable engineering systems. Perfect, minimal and intermediate (imperfect) repairs are discussed in this respect. 

Covering material previously available only in the journal literature, Point Processes for Reliability Analysis provides a survey of recent developments in this area which will be invaluable to researchers and advanced students in reliability engineering and applied mathematics.


Keywords

Stochastic Intensity Repair Process Counting Process Homogeneous Poisson Processes Nonhomogeneous Poisson Processes

Authors and affiliations

  • Ji Hwan Cha
    • 1
  • Maxim Finkelstein
    • 2
  1. 1.Department of StatisticsEwha Womans UniversitySeoulKorea (Republic of)
  2. 2.Department of Mathematical StatisticsUniversity of the Free StateBloemfonteinSouth Africa

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-73540-5
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-73539-9
  • Online ISBN 978-3-319-73540-5
  • Series Print ISSN 1614-7839
  • Series Online ISSN 2196-999X
  • Buy this book on publisher's site