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Generalization of the proportional hazards model for maintenance modelling and optimization

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  • Estelle Deloux
  • Yann Dijoux
  • Mitra Fouladirad

Abstract

A non-observable monotonically deteriorating system is considered. The observed data are the maintenance times and the kinds of maintenance performed. The aim of this paper is to propose a model of the dependency between all kinds of maintenance by considering imperfect maintenance efficiency. Furthermore, we present an additional planned preventive maintenance policy that reduces a finite horizon average total maintenance cost. To deal with such a problem a competing risks model is considered. A general class of models, denoted generalized proportional hazards, is presented and a particular model is derived. An estimation method is detailed for the proposed model. Finally, by numerical implementation, a maintenance policy that leads to the lowest finite horizon average total maintenance cost is proposed.

Suggested Citation

  • Estelle Deloux & Yann Dijoux & Mitra Fouladirad, 2012. "Generalization of the proportional hazards model for maintenance modelling and optimization," Journal of Risk and Reliability, , vol. 226(5), pages 439-447, October.
    • Handle: RePEc:sae:risrel:v:226:y:2012:i:5:p:439-447
    DOI: 10.1177/1748006X12448149
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    References listed on IDEAS

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    1. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
    2. van Noortwijk, J.M., 2009. "A survey of the application of gamma processes in maintenance," Reliability Engineering and System Safety, Elsevier, vol. 94(1), pages 2-21.
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