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Predictive maintenance of an unreliable two-unit system

Abstract : We consider a system composed of two independent and non-identical units. This system is under periodic inspection. Each unit is characterized by a variable whose value evolves from one inspection to the next one according to an exponential distribution. The parameters of this distribution can be different for the two units. The system breaks down if a least one of the two states exceeds a given value. These limits are referred to as breakdown limits. A preventive maintenance is applied on one unit if its state is less than the breakdown limit but exceeds a given threshold, called maintenance limit. The cost of a maintenance is much less than the cost of a repair. If a repair or a maintenance is applied on one unit, while the state of the second unit is less than the maintenance limit, a maintenance is performed on this second unit. The goal of this study is to adjust the maintenance limits to minimize the long-run average cost per unit of time. We study the probability density for the system to be in a given state. We then give the analytical expression of the cost function according to the maintenance limits. The values of these limits that minimize this function are then calculated using gradient estimation.
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https://hal.inria.fr/inria-00074274
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 2:54:43 PM
Last modification on : Thursday, February 11, 2021 - 2:48:12 PM
Long-term archiving on: : Tuesday, April 12, 2011 - 4:22:06 PM

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  • HAL Id : inria-00074274, version 1

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Chengbin Chu, Jean-Marie Proth, Philippe Wolff. Predictive maintenance of an unreliable two-unit system. [Research Report] RR-2401, INRIA. 1994, pp.18. ⟨inria-00074274⟩

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