Journal of Systems Engineering and Electronics ›› 2012, Vol. 34 ›› Issue (1): 217-220.doi: 10.3969/j.issn.1001-506X.2012.01.40

• 可靠性 • 上一篇    

n/k(G)表决冗余多阶段任务系统可靠性优化模型

胡涛, 俞建   

  1. 海军工程大学管理工程系, 湖北 武汉 430033
  • 出版日期:2012-01-13 发布日期:2010-01-03

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

HU Tao, YU Jian   

  1. Department of Management, Naval University of Engineering, Wuhan 430033, China
  • Online:2012-01-13 Published:2010-01-03

摘要:

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。

Abstract:

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.