Disjoint sum forms in reliability theory

Disjoint sum forms in reliability theory

The structure function f of a binary monotone system is assumed to be known and given in a disjunctive normal form, i.e. as the logical union of products of the indicator variables of the states of its subsystems. Based on this representation of f, an improved Abraham algorithm is proposed for gener...

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Main Authors: B. Anrig, F. Beichelt
Format: Article
Language:English
Published: Operations Research Society of South Africa (ORSSA) 2014-01-01
Series:ORiON
Online Access:http://orion.journals.ac.za/pub/article/view/413
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spelling doaj-1035e825a2434b1fab46bccb7e0d2d632020-11-24T23:43:38ZengOperations Research Society of South Africa (ORSSA)ORiON2224-00042014-01-0116110.5784/16-1-413377Disjoint sum forms in reliability theoryB. AnrigF. BeicheltThe structure function f of a binary monotone system is assumed to be known and given in a disjunctive normal form, i.e. as the logical union of products of the indicator variables of the states of its subsystems. Based on this representation of f, an improved Abraham algorithm is proposed for generating the disjoint sum form of f. This form is the base for subsequent numerical reliability calculations. The approach is generalized to multivalued systems. Examples are discussed.http://orion.journals.ac.za/pub/article/view/413
collection DOAJ
language English
format Article
sources DOAJ
author B. Anrig
F. Beichelt
spellingShingle B. Anrig
F. Beichelt
Disjoint sum forms in reliability theory
ORiON
author_facet B. Anrig
F. Beichelt
author_sort B. Anrig
title Disjoint sum forms in reliability theory
title_short Disjoint sum forms in reliability theory
title_full Disjoint sum forms in reliability theory
title_fullStr Disjoint sum forms in reliability theory
title_full_unstemmed Disjoint sum forms in reliability theory
title_sort disjoint sum forms in reliability theory
publisher Operations Research Society of South Africa (ORSSA)
series ORiON
issn 2224-0004
publishDate 2014-01-01
description The structure function f of a binary monotone system is assumed to be known and given in a disjunctive normal form, i.e. as the logical union of products of the indicator variables of the states of its subsystems. Based on this representation of f, an improved Abraham algorithm is proposed for generating the disjoint sum form of f. This form is the base for subsequent numerical reliability calculations. The approach is generalized to multivalued systems. Examples are discussed.
url http://orion.journals.ac.za/pub/article/view/413
work_keys_str_mv AT banrig disjointsumformsinreliabilitytheory
AT fbeichelt disjointsumformsinreliabilitytheory
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