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约束优化问题测试函数的一个构造方法
引用本文:雍龙泉,邬弢,李亚娟.约束优化问题测试函数的一个构造方法[J].新乡学院学报(自然科学版),2010,27(2):8-10.
作者姓名:雍龙泉  邬弢  李亚娟
作者单位:雍龙泉,YONG Long-quan(陕西理工学院,数学系,陕西,汉中,723001);邬弢,WU Tao(河南建筑职业技术学院,基础部,郑州,450007);李亚娟,LI Ya-juan(安康学院,电子与信息工程系,陕西,安康,725000) 
基金项目:陕西省教育厅自然科学研究项目 
摘    要:给出了约束优化问题测试算例的一个构造方法,分别给出了非凸规划、凸规划测试函数的构造方法,构造的约束优化问题在可行域边界达到最优解。并就构造的算例分别用非线性规划求解软件进行了验证,结果表明构造方法是有效的。

关 键 词:约束优化问题  测试函数  非凸规划  凸规划  全局最优解

A Constructing Method for Testing Functions Using Constrained Optimization Problems
Authors:YONG Long-quan  WU Tao  LI Ya-juan
Institution:1. Department of Mathematics, Shanxi University of Technology, Hanzhong 723001, China; 2. Department of Basic Courses, Henan Technical College of Construction, Zhengzhou 450007, China; 3. Department of Electronic and Information Engineering, Ankang College, Ankang 725000, China)
Abstract:A constructing method of testing constrained optimization problems is presented. Test functions for general non-convex programming and convex programming problems whose global optimal solution over the given domain occurs on its edge are presented. These test problems were validated by software of nonlinear programming, numerical results were reported which demonstrated this method was effective.
Keywords:constrained optimization problems  test functions  non-convex programming  convex programming  global optimal solution
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