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Title: Reliability of 2-out-of-N:G systems with NHPP failure flows and fixed repair times
Authors: Dwyer, Vincent M.
Goodall, Roger M.
Dixon, Roger
Keywords: 2-out-of-N:G
NHPP
TMR
Minimal repair
Issue Date: 2012
Publisher: © World Scientific Publishing Company
Citation: DWYER, V.M., GOODALL, R.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 (1), 22pp.
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.
Description: This article was published in the International Journal of Reliability, Quality and Safety Engineering [© World Scientific Publishing Company] and the definitive version is available at: http://dx.doi.org/10.1142/S0218539312500039
Version: Accepted for publication
DOI: 10.1142/S0218539312500039
URI: https://dspace.lboro.ac.uk/2134/10940
Publisher Link: http://dx/doi.org/10.1142/S0218539312500039
ISSN: 0218-5393
Appears in Collections:Published Articles (Electronic, Electrical and Systems Engineering)

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