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A Matrix Representation of System Structure with Application to Computational Reliability Assessments

Summary: [This abstract is based on the authors' abstract.] In this article the author presents a flexible and compact matrix representation for the structure of a complex system composed of many components. This representation is particularly useful for performing computational reliability assessments because it allows the user to create general code that can be used in analyzing a variety of systems with few required modifications. The representation is flexible enough to handle systems that are fully series, fully parallel, and combinations of series and parallel nodes. After describing the representation and an algorithm for using it to automate system reliability calculations, the author performs Bayesian system reliability analyses for three very different systems with no modifications to the base Markov chain Monte Carlo (MCMC) code. The supporting R code is available in the Appendix and is also available electronically upon request.

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  • Topics: Statistics
  • Keywords: Bayesian methods, Reliability, Systems analysis, Markov chains, Monte Carlo methods, Statistics, Computation
  • Author: Chapman, Jessica L.;
  • Journal: Quality Engineering