Some elementary ideas concerning the complexity of system structure |
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| Authors: | Shuang Li James Lynch |
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| Institution: | 1. Cancer Prevention Program, Fred Hutchinson Cancer Research Center, Washington 98109;2. Department of Statistics, University of South Carolina, Columbia, South Carolina 29208 |
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| Abstract: | A system of iid Bernoulli components is the starting point in the statistical theory of reliability. This simplification allows for the development of a rich, though elementary, theory for the structure of the system. Two representations play a prominent role in the study of structural reliability. One is the minimal path set representation and the other is the signature representation. By combining the two representations with the Gibbs measure for the state of components, one obtains terms that can be interpreted as the complexity of the system structure. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010 |
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| Keywords: | system reliability structural reliability system signature system structure complexity Gibbs measure energy |
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