Condition-Based Maintenance for a Two-Component Load-Sharing System Based on Wiener Process

Load-sharing systems have been extensively employed in engineering, where all consisting components share the system load and if any component fails, its load will be redistributed to the remaining components, thus accelerating their degradation rates. The stochastic dependence between the components makes it challenging to develop a reliability model and condition-based maintenance strategy for load-sharing systems, especially when the components are subject to non-monotonic and continuous degradation process modelled by the Wiener process. Confronted with this problem, this paper derives the lifetime distribution for a two-component load-sharing system, and proposes the optimal condition-based maintenance strategy by investigating the long-run average cost rate based on semi-regenerative process. Numerical experiments and sensitivity analysis are conducted to illustrate the effectiveness of the proposed policy.