Abstract
A problem of maximum reliability of parallel-series systems with both “open” and “shorted” failure modes is studied. In this paper we try to extend the results obtained for systems of nesting depth two to systems with a more complicated configuration. In particular, necessary conditions of optimality of systems containing subsystems with nesting depth two are proposed. Then these optimality conditions are specified for separate subproblems of the problem, and methods applicable for finding of optimal solutions are discussed. A possibility of designing of an optimal system configuration composed of not a maximum number of available components is considered.
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© 2000 Springer Science+Business Media Dordrecht
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Kirilyuk, V. (2000). On Maximum Reliability Problem in Parallel-Series Systems with Two Failure Modes. In: Uryasev, S.P. (eds) Probabilistic Constrained Optimization. Nonconvex Optimization and Its Applications, vol 49. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3150-7_7
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DOI: https://doi.org/10.1007/978-1-4757-3150-7_7
Publisher Name: Springer, Boston, MA
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Online ISBN: 978-1-4757-3150-7
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