摘要
把产品系统设计要求的可靠性指标逐层分配到下一级系统或零部件是产品设计与管理的一个非常重要环节。从底层部件的工艺设计与顾客重要度偏好出发,考虑一种可靠性工艺水平对应一个实际生产成本,而不是一个精确的'成本-可靠性'函数关系。基于离散'重要度-可靠性-成本'数据集,以系统最低可靠性要求为基本约束条件,以底层部件工艺方案选取标识0与1为二元决策变量,应用非线性整数规划方法,建立成本与重要性权衡值最小时系统可靠性分配的0-1整数规划决策模型,分别给出等效串联与并联单一结构下部件优选方案及其等价的线性规划,以及等效串-并与并-串混合结构下部件优选方案及其线性松弛规划。为快速搜索混合结构产品的非线性规划的最优解,建立线性松弛规划的寻优路径及遗传算法流程。给出混合结构产品的算例分析,验证了决策方案的可行性及算法的有效性。
The requested reliability of products is allocated to the next level systems or components,is very important on the design of products and management.It is often more reasonable to consider the technological design and customer preference of the bottom components,and describe importance-reliability-cost relationships via discrete data sets,not via functions to relate cost and reliability.Considering such situations,where each component with different importance is available at several reliability levels with corresponding costs.Based on the discrete ＂importance-reliability-cost＂ data set and the minimum cost of production,the requested reliability is considered as the basic constraint conditions,and the selection identifications 0 and 1 of the bottom components are considered as the binary decision variable,the 0-1 integer programming models for reliability assignment is studied by means of the nonlinear integer programming.The optimal scheme of components which comprise the equivalent series and parallel structure system and its equivalent linear programming,and the equivalent series-parallel and parallel-series system and their linear relaxation-programming,are presented respectively.For quickly searching the optimal solutions of nonlinear programming,the search path and genetic algorithm for linear relaxations programming are given.Numerical examples are also given to illustrate the feasibility of decision program and effectiveness of presented algorithm.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2015年第18期204-212,共9页
Journal of Mechanical Engineering
基金
国家自然科学基金委员会与中国民用航空局联合(U1333119
U1333118
60979019
60572171)
国防基础科研计划(JCKY201360513002)
工信部民机专项(MFF-2011-33)资助项目
关键词
可靠性分配
重要度
线性松弛
0-1整数规划
遗传算法
reliability assignment
important value
linear relaxations
0-1 integer programming
genetic algorithm
