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Communication Dans Un Congrès Année : 2015

On stochastic modelling of maintenance for continuously monitored systems subject to multiple deterioration and external shocks

Résumé

In this paper, we present an optimum preventive maintenance (PM) policy for a multi-component series system subjected to multiple degradation phenomena and external shocks. When the length of a degradation in a component reaches critical size D, the component fails and it has to be replaced by a new one. An external shock is minor with probability 1–p and catastrophic with probability p (0 ≤ p ≤ 1). A minor shock causes a disruption in system operation without resulting in any failure, while a catastrophic shock stops the system and requires a costly replacement. When the length of a degradation in one of the components exceeds a threshold d (0). The problem is to simultaneously determine the optimal control parameters d* and T* such that the average long-run maintenance cost per component per unit time is minimized. The explicit expression of the objective function is derived and under certain conditions, the existence and uniqueness of the optimal solution are shown. The performance of the proposed maintenance model (in terms of reduced lifecycle costs) is evaluated using a Monte-Carlo simulation technique and the results are compared to the conventional strategies of maintenance.
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Dates et versions

hal-01240120 , version 1 (08-12-2015)

Identifiants

  • HAL Id : hal-01240120 , version 1

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Mahmood Shafiee, Maxim Finkelstein, Christophe Bérenguer. On stochastic modelling of maintenance for continuously monitored systems subject to multiple deterioration and external shocks. MMR 2015 - 9th International Conference on Mathematical Methods in Reliability : Theory, Methods, Applications, Jun 2015, Tokyo, Japan. pp.810-817. ⟨hal-01240120⟩
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