## Mathematical Theory of ReliabilityThis 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. 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 re-publication. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

CL17_ch1 | 1 |

CL17_ch2 | 9 |

CL17_ch3 | 46 |

CL17_ch4 | 84 |

CL17_ch5 | 119 |

CL17_ch6 | 162 |

CL17_ch7 | 198 |

CL17_appendixa | 229 |

CL17_appendixb | 234 |

CL17_appendixc | 238 |

CL17_backmatter | 243 |

### Other editions - View all

### Common terms and phrases

age replacement policy assume assumption Barlow block replacement Chapter component failure compute concave decreasing degenerate distribution denote the number distribution F edited by Arrow Equation Esary example expected cost expected number exponential distribution F is IFR failure distribution family of undominated finite given Hence IFR DFR IFR distribution increasing failure rate inequality infinite time span integer k-out-of-n structures Karlin Laplace-Stieltjes transform LEMMA log R(n Markov chain Markov process Math mathematical matrix mean minimax minimizes monotonic structure normal distribution number of failures obtain operating parameter planned replacement Poisson process Probability and Management procedure Proof Proschan random variable relays reliability function reliability theory renewal process renewal theory repair Repairman problems replacement interval result scheduled Section semi-Markov process solution Statist stochastic stochastic processes strictly increasing subsystem system reliability Theorem Theorem 2.1 totally positive undominated allocations undominated redundancy allocations unit unreliability Weibull