DocumentCode
807543
Title
Grobner bases, abstract tubes, and inclusion-exclusion reliability bounds
Author
Giglio, Beatrice ; Naiman, Daniel Q. ; Wyn, Henry P.
Author_Institution
Dept. of Stat., Warwick Univ., Coventry, UK
Volume
51
Issue
3
fYear
2002
fDate
9/1/2002 12:00:00 AM
Firstpage
358
Lastpage
366
Abstract
There is a close mathematical relationship between integer grids of a particular echelon form and coherent systems in reliability in the case of states coded as integer grid points. This paper shows that such an integer representation is the link between abstract tube theory, which gives improved inclusion-exclusion bounds, and an algebraic method, Grobner bases, based on the polynomial ideal of the failure event
Keywords
reliability theory; Grobner bases; abstract tubes; algebraic method; coherent systems; echelon form; failure event; inclusion-exclusion reliability bounds; integer grid points; integer grids; mathematical relationship; polynomial ideal; reliability; reliability theory; Geometry; Mathematics; Polynomials; Reliability theory; Statistics;
fLanguage
English
Journal_Title
Reliability, IEEE Transactions on
Publisher
ieee
ISSN
0018-9529
Type
jour
DOI
10.1109/TR.2002.802890
Filename
1028409
Link To Document