Betti numbers and minimal free resolutions for multi-state system reliability bounds (Q1030263)
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scientific article; zbMATH DE number 5573857
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Betti numbers and minimal free resolutions for multi-state system reliability bounds |
scientific article; zbMATH DE number 5573857 |
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Betti numbers and minimal free resolutions for multi-state system reliability bounds (English)
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1 July 2009
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To every coherent system one may associate a monomial ideal whose multigraded Betti numbers provide reliability bounds for the system. Improved reliability bounds are given based on the computation of the Hilbert series and the resolutions of monomial ideals. Applications to special examples of reliability are analyzed.
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multi-state reability
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coherent systems
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monomial ideals
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Betti numbers
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Hilbert series
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Mayer-Vietoris trees
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