以可靠度为目标的机械大系统优化设计的分解法*

摘要

提出了一个三级分解算法，用来求解以可靠度为目标的三级机械大系统优化设计的数学规划模型。首先利用Kuhn-Tucker条件将高维数的系统整体优化模型分解为三级低维数的优化模型，然后给出了联立求解三级优化模型的迭代法。%This paper presents a three-level decomposition method for design optimization of the three-level mechanical system with reliability as the objective. By means of the Kuhn-Tucker conditions, the integrated model of system design optimization is decomposed into three-level optimization models whose dimensions are smaller, and a three-level iterative algorithm to resolve the three-level optimization models simultaneously is developed.