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Communication Dans Un Congrès Année : 2022

A model for stochastic dependence implied by failures among deteriorating components

Résumé

In this work a reliability model in which the failure of components affect to the degradation of components still alive is studied. It is assumed that the initial degradation of each component is described in terms of a non-decreasing univariate Lévy process modified by means of a time-scaling function, and the failure of each component is produced when its degradation crosses a fixed threshold. At the beginning, the components work independently, but once the failure of a component is produced, the time scaling function of the components still alive is modified, in order to include the (possible) stress suffered because of the failure. Probabilistic properties of this model are studied, as well as the reliability of a k-out of n system (or in general, any coherent system).
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Dates et versions

hal-04090323 , version 1 (05-05-2023)

Identifiants

  • HAL Id : hal-04090323 , version 1

Citer

Carmen Sangüesa, Sophie Mercier. A model for stochastic dependence implied by failures among deteriorating components. Sixteenth International Conference Zaragoza-Pau on Mathematics and its Applications, University of Pau and Pays de l'Adour and University of Zaragoza, Sep 2022, Jaca, Spain. ⟨hal-04090323⟩
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