基于费用因素的相关性失效系统的可靠度最优分配  

Optimal reliability allocation based on relative failure system considering the cost

作　　者：李露彤 何平[1] LI Lutong;HE Ping(College of Mathematics,Southwest Jiaotong University,Chengdu 611756,China)

机构地区：[1]西南交通大学数学学院,四川成都611756

出　　处：《湖北大学学报（自然科学版）》2019年第3期258-263,共6页Journal of Hubei University：Natural Science

基　　金：国家重点研发计划任务(2016YFB1200401-102A);中国铁路总公司科技研究开发计划重大课题(2016J007-B)资助

摘　　要：针对零部件失效相互影响的系统,首先引入Copula相关性理论,给出系统可靠度的预计模型.其次,在满足系统可靠性指标的条件下,结合相对失效概率的思想,对各部件的可靠度进行合理分配.然后考虑所花费用最低的情况,基于乘子罚函数,建立数学优化模型,从而得到满足约束条件的最优解.最后,结合算例表明该理论的可行性.Copula correlation theory is used in the system considering failure correlation,it presents the system reliability prediction model. Secondly,under the condition of satisfying the system reliability index there is a rational distribution of reliability of components. Then,the mathematical optimization model considering the lowest cost is established based on the multiplier penalty function. Finally,a practical case calculation illustrates the feasibility of the above theory.

关 键 词：可靠度分配 Copula相关性理论 相对失效概率 广义Lagrange乘子 

分 类 号：TB114.3[理学—概率论与数理统计] O213.2[理学—数学]