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首先给出了离散变量结构优化设计的数学模型,然后将总组合数按照设计变量的取值分类,把原规划问题分解成若干个维数更低、许用离散集更少的子问题;在算法设计过程中,将离散变量定界组合算法的思想应用于该问题,给出了定界的新方法. 若干算例表明,该方法可以大大减少组合搜索的次数,提高解题效率.
Firstly, the mathematical model of the discrete variable structure optimization design is given. Then the total number of combinations is classified according to the value of the design variables, and the original planning problem is decomposed into several sub-problems with lower dimensions and fewer allowable discrete sets; In the process of algorithm design, the idea of discrete variable delimitation combination algorithm is applied to this problem, and a new method of delimitation is given. Several examples show that this method can greatly reduce the number of combinatorial searches and improve the efficiency of problem solving.