| 解决多维全局最优问题的一种新方法 |
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| 引用本文： | 孟德宇,王文剑.解决多维全局最优问题的一种新方法[J].计算机工程与设计,2004,25(11):2061-2062,2073. |
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| 作者姓名： | 孟德宇 王文剑 |
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| 作者单位： | 1. 西安交通大学,理学院信息与系统科学研究所,陕西,西安,710049
2. 西安交通大学,理学院信息与系统科学研究所,陕西,西安,710049;山西大学,计算机科学系,山西,太原,030006 |
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| 摘 要： | 对一种新的全局优化方法(称为APSAM方法)进行了研究，将模拟退火方法的随机搜索策略与局部寻优算法POWELL相结合，使得求解过程可以跳出局部最优值的区域，最终获得全局最优解。最后通过对一些典型的多极值方程进行优化，比较了APSAM方法与模拟退火法、POWELL法和PSAM方法的优化结果，仿真结果说明提出的算法优化能力较强，效果稳定可靠。
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| 关 键 词： | 局部寻优 全局最优 仿真结果 局部最优 算法 多维 POWELL法 求解过程 方程 能力 |
| 文章编号： | 1000-7024(2004)11-2061-02 |
New method of global optimization solving multi-dimensional problems |
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| MENG De-yu,WANG Wen-jian.New method of global optimization solving multi-dimensional problems[J].Computer Engineering and Design,2004,25(11):2061-2062,2073. |
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| Authors: | MENG De-yu WANG Wen-jian |
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| Abstract: | A new method to solve global optimization problems (namely, APSAM) is proposed. The random research strategy of simulated annealing method is put into the Powell algorithm. It can prevent optimizing process from trapping into the domain near local minima and can obtain the global minimum. By optimizing some typical algebraic equations with many local minima, the presented method is compared with simulated annealing method, powell method and PSAM method. Simulating results illustrate that the algorithm presented in this paper is very effective, stable and reliable. |
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| Keywords: | global optimization powell method simulated annealing method |
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