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Generalized proportional intensities models for repairable systems.

Percy, DF and Alkali, BM 2006, 'Generalized proportional intensities models for repairable systems.' , IMA Journal of Management Mathematics, 17 (2) , pp. 171-185.

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Abstract

Based upon the non-homogeneous Poisson process as recommended by Ascher & Feingold (1984), we investigate suitable models for describing the inter-failure times of complex repairable systems. Specifically, we modify and develop the proportional intensities model (PIM) introduced by Cox (1972b) for this purpose. We illustrate the suitability of these models on hypothetical data taken from the first of these two books. Having identified potential benefits from this approach, we extend the PIM to introduce a new class of generalized proportional intensities models (GPIM), which allow for the inclusion of preventive maintenance (PM) and predictor variables. We discuss the properties and variations of GPIM and comment on similarities and differences between these and other proposed models for complex repairable systems. We also demonstrate the application of simple GPIM to a published data set that was collected from the petroleum industry, using the programming language Fortran and the mathematical software Mathcad. Finally, we consider how the analysis can be improved and extended for scheduling PM actions in practice.

Item Type: Article
Uncontrolled Keywords: complex repairable system; corrective maintenance; preventive maintenance; generalized proportional intensities models
Themes: Subjects / Themes > Q Science > QA Mathematics > QA275 Mathematical Statistics
Subjects outside of the University Themes
Schools: Colleges and Schools > College of Business & Law > Salford Business School > Management Science and Statistics
Journal or Publication Title: IMA Journal of Management Mathematics
Publisher: Oxford University Press
Refereed: Yes
ISSN: 1471-678X
Depositing User: H Kenna
Date Deposited: 21 Aug 2007 13:47
Last Modified: 20 Aug 2013 16:46
URI: http://usir.salford.ac.uk/id/eprint/269

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