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Virtual series-system models of imperfect repair

Nafisah, Ibrahim, Shrahili, Mansour, Alotaibi, Naif and Scarf, Phil 2019. Virtual series-system models of imperfect repair. Reliability Engineering and System Safety 188 , pp. 604-613. 10.1016/j.ress.2019.03.046

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Abstract

Novel models of imperfect repair are fitted to classic reliability datasets. The models suppose that a virtual system comprises a component and a remainder in series. On failure of the component, the component is renewed, and on failure of the remainder, the component is renewed and the remainder is minimally repaired. It follows that the repair process is a counting process that is the superposition of a renewal process and a Poisson process. The repair effect, that is, the extent to the system is repaired by renewal of the component, depends on the relative intensities of the superposed processes. The repair effect may be negative, when the intensity of the part that is a renewal process is a decreasing function. Other special cases of the model exist (renewal process, Poisson process, superposed renewal process and homogeneous Poisson process). Model fit is important because the nature of the model and corresponding parameter values determine the effectiveness of maintenance, which we also consider. A cost-minimising repair policy may be determined provided the cost of preventive-repair is less than the cost of corrective-repair and the repairable part is ageing. If the remainder is ageing, then policy needs to be adapted as it ages.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Business (Including Economics)
Publisher: Elsevier
ISSN: 0951-8320
Date of First Compliant Deposit: 6 December 2020
Date of Acceptance: 23 March 2019
Last Modified: 20 Jan 2021 00:38
URI: https://orca.cardiff.ac.uk/id/eprint/136822

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