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IMA Journal of Management Mathematics Advance Access published online on July 4, 2005

IMA Journal of Management Mathematics, doi:10.1093/imaman/dpi036
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© The author 2005. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Article

A novel repair model for imperfect maintenance

Shaomin Wu 1* and Derek Clements-Croome 1

1 School of Construction Management and Engineering, The University of Reading, Reading, RG6 6AW, UK

* To whom correspondence should be addressed.
Shaomin Wu, E-mail: shaomin.wu{at}reading.ac.uk


   Abstract

Commonly used repair rate models for repairable systems in the reliability literature are renewal processes, generalised renewal processes or non-homogeneous Poisson processes. In addition to these models, geometric processes (GP) are studied occasionally. The GP, however, can only model systems with monotonously changing (increasing, decreasing or constant) failure intensities. This paper deals with the reliability modelling of failure processes for repairable systems where the failure intensity shows a bathtub-type non-monotonic behaviour. A new stochastic process, i.e. an extended Poisson process, is introduced in this paper. Reliability indices are presented, and the parameters of the new process are estimated. Experimental results on a data set demonstrate the validity of the new process.

Keywords: renewal process; geometric process; corrective maintenance; preventive maintenance; maintenance policy.
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