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A stochastic alternating renewal process model for unavailability analysis of standby safety equipment

J.A.M. van der Weide and Mahesh D. Pandey

Reliability Engineering and System Safety, 2015, vol. 139, issue C, 97-104

Abstract: The paper presents a stochastic approach to analyze instantaneous unavailability of standby safety equipment caused by latent failures. The problem of unavailability analysis is formulated as a stochastic alternating renewal process without any restrictions on the form of the probability distribution assigned to time to failure and repair duration. An integral equation for point unavailability is derived and numerically solved for a given maintenance policy. The paper also incorporates an age-based preventive maintenance policy with random repair time. In case of aging equipment, the asymptotic limit or average unavailability should be used with a caution, because it cannot model an increasing trend in unavailability as a result of increasing hazard rate (i.e. aging) of the time to failure distribution.

Keywords: Stochastic process; Alternating renewal process; Unavailability; Inspection; Failure rate; Age-based replacement; Safety systems; Nuclear plants (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:139:y:2015:i:c:p:97-104

DOI: 10.1016/j.ress.2015.03.005

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