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Optimal non-periodic inspection for a multivariate degradation model

Author

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  • Barker, C.T.
  • Newby, M.J.

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.

Suggested Citation

  • Barker, C.T. & Newby, M.J., 2009. "Optimal non-periodic inspection for a multivariate degradation model," Reliability Engineering and System Safety, Elsevier, vol. 94(1), pages 33-43.
    • Handle: RePEc:eee:reensy:v:94:y:2009:i:1:p:33-43
    DOI: 10.1016/j.ress.2007.03.015
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