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本文将三个设计变量的基础优化设计问题分离为先决定基础层数,再决定其底面积尺寸,避免了层数的整数变量进入优化过程,减少了优化过程的设计变量数,缩小了可行域,易于选择初值。针对题目特点,选择序列线性规划法,并利用线性规划的对偶理论求最优解,效果较好。本文将列出其数学模型式。在约束条件中去掉了分母中的变量,简化了线性展开式,加快了收敛速度,应用是成功的。
In this paper, the basic optimization design problems of three design variables are separated into first determine the number of base layers, and then determine the size of the bottom area, to avoid the number of layers of integer variables into the optimization process, reducing the number of design variables in the optimization process, reducing the feasible region , Easy to choose the initial value. According to the characteristics of the topic, select the sequence linear programming method, and use the duality theory of linear programming to find the optimal solution, the effect is better. This article will list its mathematical model. Remove the variables in the denominator from the constraints, simplify the linear expansion, speed up the convergence rate, the application is successful.