Reference : Reliability of systems with dependent components based on lattice polynomial description
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Reliability of systems with dependent components based on lattice polynomial description
Dukhovny, Alexander mailto [San Francisco State University, San Francisco, California, USA > Department of Mathematics]
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Stochastic Models
Taylor & Francis Ltd
Yes (verified by ORBilu)
[en] Reliability ; semicoherent system ; lattice polynomial function
[en] Reliability of a system is considered where the components' random lifetimes may be dependent. The structure of the system is described by an associated "lattice polynomial" function. Based on that descriptor, general framework formulas are developed and used to obtain direct results for the cases where a) the lifetimes are "Bayes-dependent", that is, their interdependence is due to external factors (in particular, where the factor is the "preliminary phase" duration) and b) where the lifetimes' dependence is implied by upper or lower bounds on lifetimes of components in some subsets of the system. (The bounds may be imposed externally based, say, on the connections environment.) Several special cases are investigated in detail.
University of Luxembourg - UL
F1R-MTH-PUL-12RDO2 > MRDO2 > 01/02/2012 - 31/01/2015 > MARICHAL Jean-Luc
Researchers ; Professionals ; Students

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