A degradation model based on a diffusion process and characterized by the presence of catastrophes and of repairs occurring according to a renewal process is presented. Explicit results are obtained under the assumption that the diffusive component of the degradation is a Wiener process with linear drift, and both catastrophe times and inter-repair times are exponentially distributed.
Some results on degradation processes with repairs and catastrophes
DI CRESCENZO, Antonio;MARTINUCCI, BARBARA
2002-01-01
Abstract
A degradation model based on a diffusion process and characterized by the presence of catastrophes and of repairs occurring according to a renewal process is presented. Explicit results are obtained under the assumption that the diffusive component of the degradation is a Wiener process with linear drift, and both catastrophe times and inter-repair times are exponentially distributed.File in questo prodotto:
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