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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: (DLC) 96013952 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Richard E Barlow; Frank Proschan; Larry C Hunter; Society for Industrial and Applied Mathematics. |

ISBN: | 9781611971194 1611971195 |

OCLC Number: | 722473093 |

Notes: | Title from title screen, viewed 04/05/2011. |

Description: | 1 electronic text (xv, 258 pages) : digital file. |

Contents: | Preface to the Classics edition -- Preface -- Chapter 1. Introduction. historical background of the mathematical theory of reliability -- Chapter 2. Failure distributions -- Chapter 3. Operating characteristics of maintenance policies -- Chapter 4. Optimum maintenance policies -- Chapter 5. Stochastic models for complex systems -- Chapter 6. Redundancy optimization -- Chapter 7. Qualitative relationships for multicomponent structures -- Appendix 1. Total positivity -- Appendix 2. Test for increasing failure rate -- Appendix 3. Tables giving bounds on distributions with monotone failure rate -- References -- Index. |

Series Title: | Classics in applied mathematics, 17. |

Responsibility: | Richard E. Barlow, Frank Proschan with contributions by Larry C. Hunter. |

More information: |

### Abstract:

This monograph presents a survey of mathematical models useful in solving reliability problems. It includes a detailed discussion of life distributions corresponding to wearout and their use in determining maintenance policies, and covers important topics such as the theory of increasing (decreasing) failure rate distributions, optimum maintenance policies, and the theory of coherent systems. The emphasis throughout the book is on making minimal assumptions--and only those based on plausible physical considerations--so that the resulting mathematical deductions may be safely made about a large variety of commonly occurring reliability situations. The first part of the book is concerned with component reliability, while the second part covers system reliability, including problems that are as important today as they were in the 1960s. Mathematical reliability refers to a body of ideas, mathematical models, and methods directed toward the solution of problems in predicting, estimating, or optimizing the probability of survival, mean life, or, more generally, life distribution of components and systems. The enduring relevance of the subject of reliability and the continuing demand for a graduate-level book on this topic are the driving forces behind its republication. Unavailable since its original publication in 1965, Mathematical Theory of Reliability now joins a growing list of volumes in SIAM's Classics series. Although contemporary reliability books are now available, few provide as mathematically rigorous a treatment of the required probability background as this one.

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