Skip Navigation



IMA Journal of Management Mathematics Advance Access published online on November 17, 2008
IMA Journal of Management Mathematics, doi:10.1093/imaman/dpn039
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Percy, D. F.
Right arrow Articles by Kobbacy, K. A. H.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The authors 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Hybrid intensity models for repairable systems

David F. Percy{dagger}, J. Rhys Kearney and Khairy A. H. Kobbacy

Centre for Operational Research and Applied Statistics, University of Salford, Greater Manchester M5 4WT, UK

{dagger} Email: d.f.percy{at}salford.ac.uk

Received on 12 September 2007. Accepted on 8 April 2008.

In recent years, several authors have proposed mathematical models for complex repairable systems, extending the common assumptions of minimal repairs and renewals. These models all have weaknesses but we believe that modifications of existing models offer flexible analyses with realistic physical interpretations, enabling us to model the effects of replacements, repairs, preventive maintenance and inspections. These modifications correspond with specific types of superposed renewal processes and bear some resemblance to proportional intensities models, both described by Cox in 1962 and 1972, respectively. We discuss the properties and interpretations of these variants, explaining why we consider them particularly suited to modelling the effects of typical maintenance interventions. Finally, we illustrate an application of these models to repairable systems of five oil pumps, for which maintenance data were recently published, and demonstrate comparable performance with improved robustness.

Keywords: intensity function; replacement; repair; preventive maintenance; inspection; oil pumps


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.