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Reliability of 2-out-of-N:G systems with NHPP failure flows and fixed repair times

Dwyer, Vincent M., Goodall, Roger M. and Dixon, R. (2012) Reliability of 2-out-of-N:G systems with NHPP failure flows and fixed repair times. International Journal of Reliability, Quality and Safety Engineering, 19 (01). p. 1250003. ISSN 0218-5393

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Abstract

It is commonplace to replicate critical components in order to increase system lifetimes and reduce failure rates. The case of a general N-plexed system, whose failures are modeled as N identical, independent nonhomogeneous Poisson process (NHPP) flows, each with rocof (rate of occurrence of failure) equal to λ(t), is considered here. Such situations may arise if either there is a time-dependent factor accelerating failures or if minimal repair maintenance is appropriate. We further assume that system logic for the redundant block is 2-out-of-N:G. Reliability measures are obtained as functions of τ which represents a fixed time after which Maintenance Teams must have replaced any failed component. Such measures are determined for small λ(t)τ, which is the parameter range of most interest. The triplex version, which often occurs in practice, is treated in some detail where the system reliability is determined from the solution of a first order differential-delay equation (DDE). This is solved exactly in the case of constant λ(t), but must be solved numerically in general. A general means of numerical solution for the triplex system is given, and an example case is solved for a rocof resembling a bathtub curve.

Item Type: Article
Subjects: T Technology > TF Railroad engineering and operation
Schools: School of Computing and Engineering
Depositing User: Cherry Edmunds
Date Deposited: 03 Jun 2013 09:28
Last Modified: 03 Jun 2013 09:28
URI: http://eprints.hud.ac.uk/id/eprint/17684

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