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.
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Utkin, L.V., Kozine, I.O. Computing System Reliability Given Interval-Valued Characteristics of the Components. Reliable Comput 11, 19–34 (2005). https://doi.org/10.1007/s11155-005-5940-x
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DOI: https://doi.org/10.1007/s11155-005-5940-x