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Generalised proportional intensities models for repairable systems

Percy, D. and Alkali, B. (2006) Generalised proportional intensities models for repairable systems. IMA Journal of Management Mathematics, 17 (2). pp. 171-185. ISSN Online ISSN 1471-6798 - Print ISSN 1471-678X

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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
ID code: 9169
Keywords: complex repairable system, corrective maintenance, preventive maintenance, generalized proportional intensities models, Management. Industrial Management, Management Information Systems, Strategy and Management, Applied Mathematics
Subjects: Social Sciences > Industries. Land use. Labor > Management. Industrial Management
Department: Strathclyde Business School > Management Science
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 25 Nov 2009 16:32
    Last modified: 04 Sep 2014 20:13
    URI: http://strathprints.strath.ac.uk/id/eprint/9169

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