Non-minimal sums of disjoint products

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Abstract
  • We refine a conjecture of M.O. Locks and J.M. Wilson [Reliab Eng Syst Saf 1994;46:283-286] regarding disjoint forms of the Abraham reliability problem. We also present other examples of reliability problems with the interesting property that their minimal disjoint forms do not arise from the familiar tautology M-1 +center dot center dot center dot+ M-n = M-1 + (M-2(M) over bar (1)) + (M-3(M) over bar (2))(M) over bar (1)) + center dot center dot center dot+(M-n(M) over bar (n-1)center dot center dot center dot(M) over bar (1)).
TitleNon-minimal sums of disjoint products
CreatorTraldi, Lorenzo
PublisherReliability Engineering and Safety Systems
Academic DepartmentMathematics
DivisionNatural Sciences
OrganizationLafayette College
Date IssuedMay 2006
Date Available2015-04-20T16:55:07Z
TypeArticle
LanguageEnglish
Keywordminimal disjoint form
sum of disjoint products
Bibliographic CitationTraldi, L. (2006 May) "Non-minimal sums of disjoint products." Reliability Engineering and Safety Systems 91 (5): 533-8.
Standard IdentifierHandle 10385/1818
DOI 10.1016/j.ress.2005.03.016
Permalinkhttp://hdl.handle.net/10385/1818
Rights Statement In Copyright In Copyright
Rights HoldersElsevier Ltd.
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