4.7 Article

A C plus plus class for multi-state algebraic reliability computations

Journal

RELIABILITY ENGINEERING & SYSTEM SAFETY
Volume 213, Issue -, Pages -

Publisher

ELSEVIER SCI LTD
DOI: 10.1016/j.ress.2021.107751

Keywords

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Funding

  1. National Group for Algebraic and Geometric Structures, and Their Applications'' (GNSAGA, INdAM, Italy)
  2. Ministerio de Economia, Industria y Competitividad (Spain) [MTM2017-88804-P]

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The study introduces a C++ class designed using an algebraic approach based on monomial ideals for reliability analysis of multi-state systems. It provides functions to compute system reliability and bounds, and can be applied to general systems with independent components having identical or non-identical probability distributions.
We present the design and implementation of a C++ class for reliability analysis of multi-state systems using an algebraic approach based on monomial ideals. The class is implemented within the open-source CoCoALib library and provides functions to compute system reliability and bounds. The algorithms we present may be applied to general systems with independent components having identical or non-identical probability distributions.

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