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Algorithms and Formulae for Conversion Between System Signatures and Reliability Functions

Part of: Operations research and management science Circuits, networks Survival analysis and censored data

Published online by Cambridge University Press:  30 January 2018

Jean-Luc Marichal
Jean-Luc Marichal*
Affiliation:
University of Luxembourg
*
∗ Postal address: Mathematics Research Unit, FSTC, University of Luxembourg, 6, rue Coudenhove-Kalergi, L-1359 Luxembourg, Luxembourg. Email address: [email protected]
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Abstract

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The concept of a signature is a useful tool in the analysis of semicoherent systems with continuous, and independent and identically distributed component lifetimes, especially for the comparison of different system designs and the computation of the system reliability. For such systems, we provide conversion formulae between the signature and the reliability function through the corresponding vector of dominations and we derive efficient algorithms for the computation of any of these concepts from any other. We also show how the signature can be easily computed from the reliability function via basic manipulations such as differentiation, coefficient extraction, and integration.

Keywords

Semicoherent systemsystem signaturereliability functiondomination vector

MSC classification

Primary: 62N05: Reliability and life testing 90B25: Reliability, availability, maintenance, inspection
Secondary: 94C10: Switching theory, application of Boolean algebra; Boolean functions
Type
Research Article
Information
Journal of Applied Probability , Volume 52 , Issue 2 , June 2015 , pp. 490 - 507
Copyright
© Applied Probability Trust 

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