Reference : Algorithms and formulas for conversion between system signatures and reliability functions
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Engineering, computing & technology : Civil engineering
Security, Reliability and Trust
http://hdl.handle.net/10993/16749
Algorithms and formulas for conversion between system signatures and reliability functions
English
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Jun-2015
Journal of Applied Probability
Applied Probability Trust School of Mathematics & Statistics
52
2
490-507
Yes (verified by ORBilu)
International
0021-9002
[en] Semicoherent system ; system signature ; reliability function ; domination vector
[en] The concept of signature is a useful tool in the analysis of semicoherent systems with continuous and i.i.d. component lifetimes, especially for the comparison of different system designs and the computation of the system reliability. For such systems, we provide conversion formulas between the signature and the reliability function through the corresponding vector of dominations and we derive efficient algorithms for the computation of any of these concepts from the other. We also show how the signature can be easily computed from the reliability function via basic manipulations such as differentiation, coefficient extraction, and integration.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/16749
http://arxiv.org/abs/1312.7456

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