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Stochastic Model for Maintenance in Continuously Deteriorating Systems

Citation

Samuelson, A and Haigh, A and O'Reilly, MM and Bean, NG, Stochastic Model for Maintenance in Continuously Deteriorating Systems, European Journal of Operational Research pp. 1-31. ISSN 0377-2217 (In Press) [Refereed Article]


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DOI: doi:10.1016/j.ejor.2016.11.032

Abstract

We construct a Stochastic Model for Maintenance suitable for the analysis of real-life systems which deteriorate over time before they eventually fail and are replaced. The model uses a continuous deterio- ration level, where the rate of change depends on the current operating mode as well as the current level of deterioration. We demonstrate how to construct a model in which the uncertainty about the state of deterioration, when the system is not continuously observed, is accu- rately represented. This feature addresses some drawbacks of previous work that is known to cause modelling errors. The key performance measures for this model can be evaluated eciently using existing algorithms. The theory is illustrated using numerical examples, in which we discuss how this model can be used in a practical evaluation of di erent maintenance strategies.

Item Details

Item Type:Refereed Article
Keywords:stochastic processes, Stochastic Model for Maintenance, Markov driven fluid process, deterioration, Matrix-analytic methods
Research Division:Mathematical Sciences
Research Group:Statistics
Research Field:Stochastic Analysis and Modelling
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Samuelson, A (Ms Aviva Samuelson)
Author:O'Reilly, MM (Dr Malgorzata O'Reilly)
ID Code:113076
Year Published:In Press
Funding Support:Australian Research Council (LP140100152)
Deposited By:Mathematics and Physics
Deposited On:2016-12-10
Last Modified:2016-12-12
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