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1 Safety and Reliability of Systems and Processes

1 2023

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Imperfect maintenance in correlated bivariate Wiener model

Bautista Lucía, Castro Inma T., Bérenguer Christophe, Gaudoin Olivier, Doyen Laurent

Safety and Reliability of Systems and Processes

2023

Summer Safety and Reliability Seminar 2023

7--17

A two-unit system subject to imperfect maintenance is analyzed in this chapter. The deterioration of the system follows a bivariate Wiener degradation process. This process is built from the trivariate reduction method by sharing a common noise that describes the dependence between both units. This dependence is measured through the Pearson’s correlation coefficient between both degradation trajectories of the bivariate Wiener process at time t. A maintenance strategy consisting of periodic inspections in which the accumulated deterioration of the system is reduced by a certain quantity is implemented. Some results on the monotonicity of the Pearson’s correlation coefficient in different scenarios are obtained.