Optimal designs of (k,n-k+1)-out-of-n:F systems (subject to 2 failure modes)

The problem of achieving optimal system size (n) for (k,n-k+1)-out-of-n systems, assuming that failure may take either of two forms, is studied. It is assumed that components are independently identically distributed (i.i.d.) and that the two kinds of system failures can have different costs. The op...

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Bibliographic Details
Published inIEEE transactions on reliability Vol. 40; no. 5; pp. 559 - 562
Main Authors Pham, H., Pham, M.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.12.1991
Institute of Electrical and Electronics Engineers
Subjects
Applied sciences
Circuits
Costs
Design engineering
Design optimization
Diodes
Exact sciences and technology
Failure analysis
Laboratories
Operational research and scientific management
Operational research. Management science
Reliability engineering
Reliability theory
Reliability theory. Replacement problems
Resistors
K out of n system
Breakdown
Profit
System reliability
Reliability
Optimal design
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ISSN0018-9529
DOI10.1109/24.106777

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Summary:The problem of achieving optimal system size (n) for (k,n-k+1)-out-of-n systems, assuming that failure may take either of two forms, is studied. It is assumed that components are independently identically distributed (i.i.d.) and that the two kinds of system failures can have different costs. The optimal k or n that maximizes mean system-profit is determined, and the effect of system parameters on the optimal k or n is studied. It is shown that there does not exist a pair (k,n) maximizing the mean system-profit.< >
ISSN:0018-9529
DOI:10.1109/24.106777