Balancing burn-in and mission times in environments with catastrophic and repairable failures

Mark Bebbington, Chin-Diew Lai and RiÄ ardas Zitikis

Reliability Engineering and System Safety, 2009, vol. 94, issue 8, 1314-1321

Abstract: In a system subject to both repairable and catastrophic (i.e., nonrepairable) failures, ‘mission success’ can be defined as operating for a specified time without a catastrophic failure. We examine the effect of a burn-in process of duration τ on the mission time x, and also on the probability of mission success, by introducing several functions and surfaces on the (τ,x)-plane whose extrema represent suitable choices for the best burn-in time, and the best burn-in time for a desired mission time. The corresponding curvature functions and surfaces provide information about probabilities and expectations related to these burn-in and mission times. Theoretical considerations are illustrated with both parametric and, separating the failures by failure mode, nonparametric analyses of a data set, and graphical visualization of results.

Keywords: Burn-in; Repairs; Curvature; Reliability (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:94:y:2009:i:8:p:1314-1321

DOI: 10.1016/j.ress.2009.02.015

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