Optimal non-periodic inspection for a multivariate degradation model

C.T. Barker and M.J. Newby

Reliability Engineering and System Safety, 2009, vol. 94, issue 1, 33-43

Abstract: We address the problem of determining inspection and maintenance strategy for a system whose state is described by a multivariate stochastic process. We relax and extend the usual approaches. The system state is a multivariate stochastic process, decisions are based on a performance measure defined by the values of a functional on the process, and the replacement decision is based on the crossings of a critical levels. The critical levels are defined for the performance measure itself and also as the probability of never returning to a satisfactory level of performance. The inspection times are determined by a deterministic function of the system state. A non-periodic policy is developed by evaluating the expected lifetime costs and the optimal policy by an optimal choice of inspection function. The model thus gives a guaranteed level of reliability throughout the life of the project. In the particular case studied here, the underlying process is a multivariate Wiener process, the performance measure is the â„“2 norm, and the last exit time from a critical set rather than the first hitting time determines the policy.

Keywords: Wiener process; Regenerative process; Renewal-reward; Dynamic programming; Statistical testing; Health monitoring (search for similar items in EconPapers)
Date: 2009
References: View complete reference list from CitEc
Citations: View citations in EconPapers (31)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:94:y:2009:i:1:p:33-43

DOI: 10.1016/j.ress.2007.03.015

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