Universal moment generating function and stochastic Petri nets to redundancy optimization for multi-state systems under repair policies

To solve the redundancy optimization problem for multi-state systems under repair policies, we combine universal moment generating function technique with stochastic Petri nets. The elements of the system are characterized by their cost, performance and availability, and are chosen from a list of products available on the market. The number of repair teams is less than the number of reparable elements, and a repair policy specifies the maintenance priorities between the system elements. A heuristic is proposed to determine the minimal cost system configuration under availability constraints.