On the Use of Stochastic Processes in Modeling Reliability Problems

  • Alessandro Birolini

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 252)

Table of contents

  1. Front Matter
    Pages I-VI
  2. Alessandro Birolini
    Pages 1-3
  3. Alessandro Birolini
    Pages 4-16
  4. Alessandro Birolini
    Pages 41-49
  5. Back Matter
    Pages 89-108

About this book


Stochastic processes are powerful tools for the investigation of reliability and availability of repairable equipment and systems. Because of the involved models, and in order to be mathematically tractable, these processes are generally confined to the class of regenerative stochastic processes with a finite state space, to which belong: renewal processes, Markov processes, semi-Markov processes, and more general regenerative processes with only one (or a few) regeneration staters). The object of this monograph is to review these processes and to use them in solving some reliability problems encountered in practical applications. Emphasis is given to a comprehensive exposition of the analytical procedures, to the limitations in­ volved, and to the unification and extension of. the models known in the literature. The models investigated here assume. that systems have only one repair crew and that no further failure can occur at system down. Repair and failure rates are general­ ized step-by-step, up to the case in which the involved process is regenerative with only one (or a few) regeneration state(s). Investigations deal with different kinds of reliabilities and availabilities for series/parallel structures. Preventive main­ tenance and imperfect switching are considered in some examples.


Markov model Markov process Poisson process Reliability modeling regenerative process stochastic processes

Authors and affiliations

  • Alessandro Birolini
    • 1
  1. 1.ETH-ZentrumEidgenössische Technische Hochschule (ETH)ZürichSwitzerland

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1985
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-15699-4
  • Online ISBN 978-3-642-46553-6
  • Series Print ISSN 0075-8442
  • Buy this book on publisher's site
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