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A decomposition for multistate monotone systems

Published online by Cambridge University Press:  14 July 2016

Henry W. Block and
Thomas H. Savits
Henry W. Block*
Affiliation:
University of Pittsburgh
Thomas H. Savits*
Affiliation:
University of Pittsburgh
*
∗ Research supported by ONR Contract N00014-76-C-0839.
∗∗ Research supported by ONR Contract N00014-76-C-0839 and NSF Grant MCS77-01458.
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Abstract

A decomposition theorem for multistate structure functions is proven. This result is applied to obtain bounds for the system performance function. Another application is made to interpret the multistate structures of Barlow and Wu. Various concepts of multistate importance and coherence are also discussed.

Keywords

MULTISTATE STRUCTURE FUNCTIONBOUNDSSYSTEM PERFORMANCE FUNCTIONCOHERENCERELEVANCEIMPORTANCEASSOCIATED COMPONENTS

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 19 , Issue 2 , June 1982, pp. 391 - 402
Copyright
Copyright © Applied Probability Trust 1982 

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Footnotes

Postal address for both authors: Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh PA 15260, U.S.A.

References

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