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

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Page 60

Even if the number of system components is small (five, six), dimensions of

transition rate matrices of concern require the use of numerical

these the eigenvalue-eigenvector schema is the major candidate to exploit the

special ...

Even if the number of system components is small (five, six), dimensions of

transition rate matrices of concern require the use of numerical

**methods**. Amongthese the eigenvalue-eigenvector schema is the major candidate to exploit the

special ...

Page 62

The following iteration formula is then assumed for denning the numerical

approximation to y: (3.8) un+1 = u„ — Xhctxun — AfcaaMB+1 , aa + a, = 1, a#>0,

» = 1, 2, which entails (3-9) w" = lrT^)y°- It can be easily seen that the

The following iteration formula is then assumed for denning the numerical

approximation to y: (3.8) un+1 = u„ — Xhctxun — AfcaaMB+1 , aa + a, = 1, a#>0,

» = 1, 2, which entails (3-9) w" = lrT^)y°- It can be easily seen that the

**method**is ...Page 65

i) Keeping under control stiffness by means of an implicit

the linear algebraic system the implicit

common to all noteworthy

i) Keeping under control stiffness by means of an implicit

**method**. ii) Triangulatingthe linear algebraic system the implicit

**method**leads to. Actions i) and ii) arecommon to all noteworthy

**methods**for numerically handling Markov equations, ...### What people are saying - Write a review

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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