Computing System Reliability Given Interval-Valued Characteristics of the Components

Computing System Reliability Given Interval-Valued Characteristics of the Components The current paper is concluding in the series of studies devoted to generalising reliability models of non-repairable systems to imprecise previsions. It describes a generic algorithm to find an interval-valued reliability assessment of a system given imprecise reliability information concerning the components. As the tool for obtaining reliability characteristics of interest is a proper posed optimisation problem, the algorithm suggests solving it in a practically affordable way by breaking down the general problem into problems that are much easier to solve. This is made at the cost of finding only approximate solutions and a lesser precision in the previsions of interest. It is also shown that for some particular cases the genuine, exact, solutions can be found through the algorithm developed. The second part of the paper gives an overview of formulas for interval-valued reliability calculations of non-repairable systems inferred by the authors and scattered in different sources. A few examples demonstrate the use of the formulas and the algorithm developed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Reliable Computing Springer Journals

Computing System Reliability Given Interval-Valued Characteristics of the Components

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 2005 by Springer Science + Business Media, Inc.
Subject
Mathematics; Numeric Computing; Approximations and Expansions; Computational Mathematics and Numerical Analysis; Mathematical Modeling and Industrial Mathematics
ISSN
1385-3139
eISSN
1573-1340
D.O.I.
10.1007/s11155-005-5940-x
Publisher site
See Article on Publisher Site

Abstract

The current paper is concluding in the series of studies devoted to generalising reliability models of non-repairable systems to imprecise previsions. It describes a generic algorithm to find an interval-valued reliability assessment of a system given imprecise reliability information concerning the components. As the tool for obtaining reliability characteristics of interest is a proper posed optimisation problem, the algorithm suggests solving it in a practically affordable way by breaking down the general problem into problems that are much easier to solve. This is made at the cost of finding only approximate solutions and a lesser precision in the previsions of interest. It is also shown that for some particular cases the genuine, exact, solutions can be found through the algorithm developed. The second part of the paper gives an overview of formulas for interval-valued reliability calculations of non-repairable systems inferred by the authors and scattered in different sources. A few examples demonstrate the use of the formulas and the algorithm developed.

Journal

Reliable ComputingSpringer Journals

Published: Jan 1, 2005

References

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