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On dependence and reliability computations
Author(s) -
Egeland Thore,
Huseby Arne Bang
Publication year - 1991
Publication title -
networks
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.977
H-Index - 64
eISSN - 1097-0037
pISSN - 0028-3045
DOI - 10.1002/net.3230210504
Subject(s) - converse , reliability (semiconductor) , monotone polygon , computation , component (thermodynamics) , independence (probability theory) , computer science , series (stratigraphy) , mathematics , mathematical optimization , algorithm , statistics , paleontology , power (physics) , physics , geometry , quantum mechanics , biology , thermodynamics
When computing the reliability of a system consisting of several components, it is usually assumed that the components are statistically independent of each other. In case the components are associated, it is known that this leads to underestimation if the system is a series, whereas the converse holds for parallel systems. In this paper, we consider general monotone systems and study the error resulting from the independence assumption when the component states are, in fact, distributed according to certain dependence models. We also consider some applications of the results to network systems.