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

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journal contribution
posted on 15.11.2012 by Vincent Dwyer, Roger Goodall, Roger Dixon
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.

History

School

  • Mechanical, Electrical and Manufacturing Engineering

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.

Publisher

© World Scientific Publishing Company

Version

AM (Accepted Manuscript)

Publication date

2012

Notes

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

ISSN

0218-5393

Language

en

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