| 非线性比式和问题的全局优化算法 |
| |
| 引用本文： | 焦红伟,郭运瑞,陈永强. 非线性比式和问题的全局优化算法[J]. 数学季刊, 2008, 23(4) |
| |
| 作者姓名： | 焦红伟 郭运瑞 陈永强 |
| |
| 作者单位： | Department;Mathematics;Henan;Institute;Science;Technology;Xinxiang;453003;China;College;Information;Normal;University;453007; |
| |
| 基金项目： | Supported by the National Natural Science Foundation of China(10671057);;Supported by the Natural Science Foundation of Henan Institute of Science and Technology(06054) |
| |
| 摘 要： | In this paper,a global optimization algorithm is proposed for nonlinear sum of ratios problem(P).The algorithm works by globally solving problem(P1) that is equivalent to problem(P),by utilizing linearization technique a linear relaxation programming of the (P1) is then obtained.The proposed algorithm is convergent to the global minimum of(P1) through the successive refinement of linear relaxation of the feasible region of objective function and solutions of a series of linear relaxation programming.Nume...
|
| 关 键 词： | 非线性比式 问题解析 全局优化算法 非线性数学 |
Global Optimization Algorithm for Nonlinear Sum of Ratios Problems |
| |
| JIAO Hong-wei,GUO Yun-rui,CHEN Yong-qiang. Global Optimization Algorithm for Nonlinear Sum of Ratios Problems[J]. Chinese Quarterly Journal of Mathematics, 2008, 23(4) |
| |
| Authors: | JIAO Hong-wei GUO Yun-rui CHEN Yong-qiang |
| |
| Affiliation: | [1]Department of Mathematics, Henan Institute of Science and Technology, Xinxiang 453003, China [2]College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China |
| |
| Abstract: | In this paper,a global optimization algorithm is proposed for nonlinear sum of ratios problem(P).The algorithm works by globally solving problem(P1)that is equivalent to problem(P),by utilizing linearization technique a linear relaxation programming of the(P1)is then obtained.The proposed algorithm is convergent to the global minimum of(P1)through the successive refinement of linear relaxation of the feasible region of objective function and solutions of a series of linear relaxation programming.Numerical results indicate that the proposed algorithm is feasible and can be used to globally solve nonlinear sum of ratios problems(P). |
| |
| Keywords: | global optimization nonlinear sum of ratios linearization technique |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
