| 基于数论的总体优化随机搜索算法 |
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| 引用本文： | 钟良,钟守楠,章晓燕. 基于数论的总体优化随机搜索算法[J]. 数学杂志, 2006, 26(1): 75-82 |
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| 作者姓名： | 钟良 钟守楠 章晓燕 |
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| 作者单位： | 武汉大学数学与统计学院,湖北,武汉,430072 |
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| 基金项目： | 国家自然科学基金资助项目(70171016)，亚大运筹中心资助项目，中国科学院管理决策与信息系统开放研究室资助项目. |
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| 摘 要： | 本文研究了多峰函数的总体优化问题.提出了基于数论的总体优化随机搜索算法,证明了算法依概率1收敛到总体极值点,并给出了计算示例.
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| 关 键 词： | 总体优化 随机搜索 数论 |
| 文章编号： | 0255-7797（2006）01-0075-08 |
| 收稿时间： | 2004-08-26 |
| 修稿时间： | 2004-08-262005-04-08 |
GLOBAL OPTIMIZATION RANDOM SEARCHING ALGORITHM BASED ON NUMBER-THEORY |
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| ZHONG Liang,ZHONG Shou-nan,ZHANG Xiao-yan. GLOBAL OPTIMIZATION RANDOM SEARCHING ALGORITHM BASED ON NUMBER-THEORY[J]. Journal of Mathematics, 2006, 26(1): 75-82 |
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| Authors: | ZHONG Liang ZHONG Shou-nan ZHANG Xiao-yan |
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| Affiliation: | School of Math. and Statistics , Wuhan University, Wuhan 430072,China |
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| Abstract: | In this paper, the glob a l optimization problems of the multim odal function are studied. A new glob al optimization random searching al gorithm based on number-theory is proposed. Practice makes out that is an effective algorithm. The correlativ e theory analysis is made and calcula ting examples are given. |
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| Keywords: | global optimization random searching number-theoretic. |
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