Fault Tree Reliability Analysis via Squarefree Polynomials

Milan Lopuhaä-Zwakenberg

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Paper

Fault Tree Reliability Analysis via Squarefree Polynomials

Topics: Model Quality Assessment; Reasoning about Models

In Proceedings of the 12th International Conference on Model-Based Software and Systems Engineering MODELSWARD - Volume 1, 39-49, 2024 , Rome, Italy

Author: Milan Lopuhaä-Zwakenberg

Affiliation: University of Twente, Enschede, The Netherlands

Keyword(s): Fault Trees, Reliability Analysis, Polynomial Algebra.

Abstract: Fault tree (FT) analysis is a prominent risk assessment method in industrial systems. Unreliability is one of the key safety metrics in quantitative FT analysis. Existing algorithms for unreliability analysis are based on binary decision diagrams, for which it is hard to give time complexity guarantees beyond a worst-case exponential bound. In this paper, we present a novel method to calculate FT unreliability based on algebras of squarefree polynomials and prove its validity. We furthermore prove that time complexity is low when the number of multiparent nodes is limited. Experiments show that our method is competitive with the state-of-the-art and outperforms it for FTs with few multiparent nodes.

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Paper citation in several formats:

Lopuhaä-Zwakenberg, M. (2024). Fault Tree Reliability Analysis via Squarefree Polynomials. In Proceedings of the 12th International Conference on Model-Based Software and Systems Engineering - MODELSWARD; ISBN 978-989-758-682-8; ISSN 2184-4348, SciTePress, pages 39-49. DOI: 10.5220/0012334000003645

@conference{modelsward24,
author={Milan Lopuhaä{-}Zwakenberg.},
title={Fault Tree Reliability Analysis via Squarefree Polynomials},
booktitle={Proceedings of the 12th International Conference on Model-Based Software and Systems Engineering - MODELSWARD},
year={2024},
pages={39-49},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0012334000003645},
isbn={978-989-758-682-8},
issn={2184-4348},
}

TY - CONF

JO - Proceedings of the 12th International Conference on Model-Based Software and Systems Engineering - MODELSWARD
TI - Fault Tree Reliability Analysis via Squarefree Polynomials
SN - 978-989-758-682-8
IS - 2184-4348
AU - Lopuhaä-Zwakenberg, M.
PY - 2024
SP - 39
EP - 49
DO - 10.5220/0012334000003645
PB - SciTePress