The Programming and Application of Integer Optimazation(Grid Method )
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摘要: 目前,在機械優化設計中,離散量或混合量的優化設計程序尚少,而在設計變量中包含有離散變量時,如齒輪的齒數、模數、鋼板厚度等,則應選用整數優化程序。因此,本文以網格法為基礎,根據設計變量變化的性質,分別采用連續量和離散量進行迭代計算,以獲得較理想的最優化解。本文用ALGOL語言編寫了整數優化計算程序,并進行了實例計算。程序簡單易懂,使用方便靈活,特別對求解小型混合量優化設計課題是有參考意義的。Abstract: At present there are still few programs for calculating either discrete quantities or discrete quantities and continuous quantities optimal design. However, if there are discrete quantities in the design variables, such as the numbers of gear teeth, gear modulus and the thichness of the steel plate, one needs a program for integer variables. This article describes a method based on the grid method which calculates iterative-ly according to the variations of design variables using continuous quantities or discrete quantities respectively to find the ideal optimal solution. Based on this method, a program has been developed for integer variables in optimal design using ALGOL, and some examples are also attached. This program is easy to understand and quite flexible. It could be helpful in calculating the solutions to small scale questions with discrete and continuous variables.
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