求解全局优化问题的填充函数法

全局优化问题在许多工程和实际生产中有着广泛的应用,对其方法的研究是当前优化理论方面的一个热点。本文主要研究涉及多峰函数的无约束全局优化问题的方法,以期对解决实际问题提供算法帮助。通过构造一个新的不含指数项的填充函数求解无约束优化问题的全局最优解,首先给出了该填充函数的定义,其次分析了这种填充函数的一些解析性质,设计了一种涉及这种填充函数的算法,最后给出了数值测试例子;与存在的算法的数值试验比较表明,该文提出的算法是有效的。

A Filled Function for Finding Global Optimization Problem

Global optimal problems have a wide application in many engineering and practical manufacturing,studying their methods are a hot research field.In this paper,the methods involving multi-modal function are studied for the unconstrained global optimal problem so as to solve practical problems.By constructing a new filled function without exponential term,a global optimal solution to unconstraint optimization problem is studied.Firstly the definition for this kind of filled function is given,then some analytical properties are proposed for this novel kind of given filled function,and the algorithm involving this function is proposed.Finally the numerical experiments are given.The effectiveness of the proposed algorithm is proven by comparing with the numerical experiments of other existed algorithms.