June 2015 Algorithms and formulae for conversion between system signatures and reliability functions
Jean-Luc Marichal
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J. Appl. Probab. 52(2): 490-507 (June 2015). DOI: 10.1239/jap/1437658611

Abstract

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.

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Jean-Luc Marichal. "Algorithms and formulae for conversion between system signatures and reliability functions." J. Appl. Probab. 52 (2) 490 - 507, June 2015. https://doi.org/10.1239/jap/1437658611

Information

Published: June 2015
First available in Project Euclid: 23 July 2015

zbMATH: 1327.62498
MathSciNet: MR3372088
Digital Object Identifier: 10.1239/jap/1437658611

Subjects:
Primary: 62N05 , 90B25
Secondary: 94C10

Keywords: domination vector , reliability function , Semicoherent system , system signature

Rights: Copyright © 2015 Applied Probability Trust

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Vol.52 • No. 2 • June 2015
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