Multi-state system reliability analysis based on PH distribution for periodic maintenance

The reliability of multi-state systems has been investigated extensively in the last decade. In this paper, the reliability analysis of multi-state system considering periodic maintenance based on PH distribution is studied. The transitions of the system between different states are analyzed. An infinitesimal generator matrix is constructed for calculating steady-state availability. Finally, a numerical example is presented to demonstrate the method. The proposed method can provide a basis for determining the optimal number of periodic maintenance for the multi-state repairable system. The model proposed in this paper can be an alternative for practical application.