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This paper deals with the assessment of the performance of a system under afinite planning horizon. The system is subject to two dependent causes offailure: internal degradation and sudden shocks. We assume that internaldegradation follows a gamma process. When the deterioration level of thedegradation process exceeds a predetermined value, a degradation failureoccurs. Sudden shocks arrive at the system following a doubly stochasticPoisson process (DSPP). A sudden shock provokes the total breakdown of thesystem. A condition-based maintenance (CBM) with periodic inspection times isdeveloped. To evaluate the maintenance cost, recursive methods combiningnumerical integration and Monte Carlo simulation are developed to evalute theexpected cost rate and its standard deviation. Also, recursive methods tocalculate some transient measures of the system are given. Numerical examplesare provided to illustrate the analytical results.

Assessment of the maintenance cost and analysis of availability measures in a finite life cycle for a system subject to competing failures