工程结构混合离散变量优化的模拟退火方法

本文针对工程结构优化设计中普遍存在的混合离散变量的现象，探索了应用模拟退火算法直接获得最优解的方法，从而不再对离散变量作“规格化”后处理。文中根据混合离散变量的特点，提出了几种邻域状态的产生函数和迭代方案，给出了适宜的模拟退火过程的冷却进度表。算例表明该方法能有效地解决工程结构混合离散变量的优化问题。

A SIMULATED ANNEALING METHOD FOR STRUCTURAL ENGINEERING OPTIMIZATION WITH MIXED-DISCRETE VARIABLES

In this paper,aiming at the phenomenon of mixed-discrete variables which generally exists in engineering structural optimization,a simulated annealing approach is introduced to directly search the optimal solution without ‘specializing’treatment. According to the property of mixed-discrete variable problem,an adjacent producing function states is proposed, and a suitable annealing schedule to this optimzation is given.The results of two examples show that the simulated annealing approach can efficiently solve the engineering structural optimization with mixed-discrete variables.