## Proceedings of the International School of Physics "Enrico Fermi". |

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Page 55

The Markov Approach to Calculating

. 0. A. Clarotti ENEA TIB-ISP OBE Oasacda - 8.P. Anguillarese 301, 00100 Roma,

Italia 1. - Introduction. The so-called Markov approach to calculating system ...

The Markov Approach to Calculating

**System Reliability**: Computational Problems. 0. A. Clarotti ENEA TIB-ISP OBE Oasacda - 8.P. Anguillarese 301, 00100 Roma,

Italia 1. - Introduction. The so-called Markov approach to calculating system ...

Page 67

these include communication networks, electrical power systems, water

transmission systems, nuclear-power reactors and transportation systems. We

will illustrate ...

**System Reliability**Analysis: Foundations. E. E. Barlow Operations ... Some ofthese include communication networks, electrical power systems, water

transmission systems, nuclear-power reactors and transportation systems. We

will illustrate ...

Page 77

when components are statistically independent and h(p) is the

From the pivotal decomposition in (2.2), it is clear that (2.9) Bh^ = MJt,p)-MOt,P).

This is also valid for general logic trees where h(p) is the probability of the top ...

when components are statistically independent and h(p) is the

**system reliability**.From the pivotal decomposition in (2.2), it is clear that (2.9) Bh^ = MJt,p)-MOt,P).

This is also valid for general logic trees where h(p) is the probability of the top ...

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### Contents

System Eeliabujty | 3 |

Statistical Theory of Eeliablitt | 8 |

Definitions and characterizations | 12 |

Copyright | |

39 other sections not shown

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### Common terms and phrases

algorithm approach associated assume assumption Bayesian boundary points chain coherent system complex conjugate prior consider correctness defined denote detected discussed edited equations equivalence class ergodic errors example exponential distribution failure rate Fault Tree Analysis function gamma given human reliability IEEE Trans IFEA implementation increasing independent input domain integration interval likelihood Markov Markov chain matrix mean method modules monotone month2 N. D. Singpurwalla number of failures number of system NUMITEMS observed obtained operational output parameters phase Poisson Poisson process possible predictive prior distribution probability problem procedure Proschan R. E. Barlow random variables reliability growth models reliability theory renewal theory repair requirements sample sect sequence Software Eng software reliability software reliability models specification Stat statistical stochastic stochastic process subsection system failure system reliability techniques theorem tion tt tt values vector zero