Failure, repair and replacement analysis of a navy subsystem: case study of a pump

An age‐replacement policy may be used to minimize the cost of replacement and repair of a system whose rate of repairable failures increases with age. In this paper we model the failure times before replacement of one such system—a pump used on a submarine—by a non‐homogeneous Poisson process having...

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Bibliographic Details
Published in:Applied stochastic models and data analysis 1997-09, Vol.13 (3-4), p.369-376
Main Authors: Gaver, Donald P., Jacobs, Patricia A., Dudenhoeffer, Donald D.
Format: Article
Language:English
Subjects:
age-replacement policy
minimal repair
non-homogeneous Poisson process
reliability
Online Access:Get full text
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Summary:An age‐replacement policy may be used to minimize the cost of replacement and repair of a system whose rate of repairable failures increases with age. In this paper we model the failure times before replacement of one such system—a pump used on a submarine—by a non‐homogeneous Poisson process having log‐linear hazard rate which is a function of age. Maximum likelihood is used to estimate model parameters. A renewal–reward process is used to obtain estimates of log‐run average costs of age‐replacement policies. It should be noted that the policy obtained does not recognize possible between‐submarine differences but does acknowledge that noise from a submarine pump is not to be tolerated. © 1998 John Wiley & Sons Ltd.
ISSN:8755-0024
1099-0747
DOI:10.1002/(SICI)1099-0747(199709/12)13:3/4<369::AID-ASM330>3.0.CO;2-6