English

Rare-Event Estimation for Dynamic Fault Trees

Applications 2016-01-28 v1 Computational Engineering, Finance, and Science

Abstract

Article describes the results of the development and using of Rare-Event Monte-Carlo Simulation Algorithms for Dynamic Fault Trees Estimation. For Fault Trees estimation usually analytical methods are used (Minimal Cut sets, Markov Chains, etc.), but for complex models with Dynamic Gates it is necessary to use Monte-Carlo simulation with combination of Importance Sampling method. Proposed article describes approach for this problem solution according for specific features of Dynamic Fault Trees. There are assumed, that failures are non-repairable with general distribution functions of times to failures (there may be Exponential distribution, Weibull, Normal and Log-Normal, etc.). Expessions for Importance Sampling Re-Calculations are proposed and some numerical results are considered

Keywords

Cite

@article{arxiv.1601.07189,
  title  = {Rare-Event Estimation for Dynamic Fault Trees},
  author = {Sergey Porotsky},
  journal= {arXiv preprint arXiv:1601.07189},
  year   = {2016}
}

Comments

10 pages, 1 figure

R2 v1 2026-06-22T12:37:22.990Z