在工程设计中,常遇到连续变量和离散变量同时存在的错综复杂问题。人们尝试过采用经典的数学解析和最优化理论来解决这类问题,然而均难以取得圆满结果;而采用离散变量处理方法为较好地解决这类问题找到了途径。本文论述了这一处理方法的最优检验和求解过程。实例证明,这一方法具有程序简单、计算速度快、精度高的优点,对工程设计中混合型变量优化问题的处理具有实用意义。 In engineering design, often encounter the intricacies of continuous variables and discrete variables. People tried to use classical mathematical analysis and optimization theory to solve such problems, however, it is difficult to achieve satisfactory results; and discrete variable processing methods to solve these problems to find a way. This article discusses the optimal testing and solving process of this method. The example proves that this method has the advantages of simple procedure, fast calculation speed and high accuracy. It is of practical significance to deal with the optimization problem of hybrid variables in engineering design.