ABSTRACT
A periodically tested two-component system is considered, with two possible structures: series and parallel. The accumulating deterioration of both components is modelled with a bivariate non decreasing Lévy process, which takes into account the dependence between the two components. Each component is considered as failed as soon as its univariate deterioration level is beyond a specific threshold. Between inspections, failures remain unrevealed. At inspection times, failed components are instantaneously replaced by new ones (corrective replacements), whereas still working components are left as they are. The repair may hence be imperfect at the system level. To shorten the system downtime, preventive thresholds are next introduced, with a similar replacement policy as for the corrective one otherwise. The system is assessed through cost functions on a finite and infinite horizon times, which are studied with the help of Markov renewal theory. The influence of different parameters (such as the dependence between the two marginal wear indicators) on the cost functions is studied.
