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On the Use of Stochastic Processes in Modeling Reliability Problems

  • Book
  • © 1985

Overview

Authors:
  1. Alessandro Birolini

    1. ETH-Zentrum, Eidgenössische Technische Hochschule (ETH), Zürich, Switzerland

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

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-VI
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  2. Introduction and Summary

    • Alessandro Birolini
    Pages 1-3

  3. Basic Concepts of Reliability Analysis

    • Alessandro Birolini
    Pages 4-16

  4. Stochastic Processes Used in Modeling Reliability Problems

    • Alessandro Birolini
    Pages 17-40

  5. Applications to One-Item Repairable Structures

    • Alessandro Birolini
    Pages 41-49

  6. Applications to Series, Parallel, and Series/Parallel Repairable Structures

    • Alessandro Birolini
    Pages 50-79

  7. Applications to Repairable Systems of Complex Structure and to Special Topics

    • Alessandro Birolini
    Pages 80-88

  8. Back Matter

    Pages 89-108
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Keywords

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.

Authors and Affiliations

  • ETH-Zentrum, Eidgenössische Technische Hochschule (ETH), Zürich, Switzerland

    Alessandro Birolini

Bibliographic Information

  • Book Title: On the Use of Stochastic Processes in Modeling Reliability Problems

  • Authors: Alessandro Birolini

  • Series Title: Lecture Notes in Economics and Mathematical Systems

  • DOI: https://doi.org/10.1007/978-3-642-46553-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1985

  • Softcover ISBN: 978-3-540-15699-4Published: 01 September 1985

  • eBook ISBN: 978-3-642-46553-6Published: 06 December 2012

  • Series ISSN: 0075-8442

  • Series E-ISSN: 2196-9957

  • Edition Number: 1

  • Number of Pages: VI, 105

  • Topics: Operations Research/Decision Theory

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