n/k(G)表决冗余多阶段任务系统可靠性优化模型

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

提出采用多阶段任务系统(phased mission systems,PMS)冗余故障树模型和PMS冗余二元决策图(binary decision diagram,BDD)模型来描述冗余多阶段任务系统;通过递归法实现PMS冗余故障树模型到PMS冗余BDD模型的转换,从而得到整个PMS的最小割集;在分析n/k(G)表决冗余模块在PMS中可靠度计算模型的基础上得到整个PMS的可靠性计算模型。以费用最小为目标,构建多阶段任务系统可靠性冗余优化模型,并应用微粒群算法对模型进行求解。算例通过一个三个阶段n/k(G)表决系统来阐述该方法的应用,并验证了模型的合理性及算法的有效性。

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.