摘要
以产品各单元组合后系统总可靠度满足规定值为约束条件,并对各单元花费函数进行加权求和,将各单元花费的多目标函数转化为单目标函数,建立了关于系统可靠度分配的数学模型。然后利用内点惩罚函数法将系统可靠度分配过程中的非线性规划问题转化为无约束优化问题,将可靠性设计和优化设计相结合,对系统可靠度指标进行分配。为产品设计过程中系统各单元最佳可靠度的确定提出了一种优化算法,并通过实例对该算法的可行性和有效性进行了验证。
The condition that the general reliability of the system after assemblage of all the units satisfies the prescription is taken as the constraint.With the weighted sum method,the multi-objective function of cost function of each unit is transformed into single objective function.Then the mathematical model for system reliability allocation is established.The internal penalty function method is adopted to transform the nonlinear programming problem in the system reliability allocation into the unconstrained optimization problem.The optimal design and the reliability design are integrated so that the reliability of the system is allocated to each unit.This paper provides an optimization algorithm for the determination of the reliability of each unit in the product designing.The feasibility and effectiveness of the algorithm is verified by an example.
出处
《机械科学与技术》
CSCD
北大核心
2010年第12期1710-1712,共3页
Mechanical Science and Technology for Aerospace Engineering
关键词
可靠度分配
内点惩罚函数法
目标函数
约束条件
reliability allocation
internal penalty function method
objective function
constraint
