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Multistate coherent systems

Published online by Cambridge University Press:  14 July 2016

E. El-Neweihi ,
F. Proschan  and
J. Sethuraman
E. El-Neweihi
Affiliation:
University of Kentucky
F. Proschan
Affiliation:
Florida State University
J. Sethuraman
Affiliation:
Florida State University
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Abstract

The vast majority of reliability analyses assume that components and system are in either of two states: functioning or failed. The present paper develops basic theory for the study of systems of components in which any of a finite number of states may occur, representing at one extreme perfect functioning and at the other extreme complete failure. We lay down axioms extending the standard notion of a coherent system to the new notion of a multistate coherent system. For such systems we obtain deterministic and probabilistic properties for system performance which are analogous to well-known results for coherent system reliability.

Keywords

MULTISTATE COHERENT SYSTEMSCOHERENT SYSTEMSRELIABILITYPERFORMANCEIFRANBUREDUNDANCY

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 15 , Issue 4 , December 1978 , pp. 675 - 688
Copyright
Copyright © Applied Probability Trust 1978 

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