Reliability optimization model of n/k(G) phased mission systems

Phased mission systems (PMS) redundancy fault tree model and PMS redundancy binary decision diagram (BDD) model are used to describe phased mission systems' redundancy. The PMS redundancy fault tree model is changed to a PMS redundancy BDD model based on the ideal of the recursive method, thus getting the min cut sets of the whole PMS. After analyzing the reliability computation model of n/k(G) redundancy module in phased mission systems, the reliability computation model of the whole n/k(G) redundancy phased mission systems is put forward. Based on this, taking minimum cost as an objective to build the reliability redundancy optimization model of phased-mission systems, a particle swarm optimization algorithm is used to solve the model. The proposed solutions are verified and illustrated through a three-phased n/k(G) redundant system. And the results of the example validate the model's rationality and the arithmetic's validity.