| 由任意初始点求解离散型约束全局优化问题 |
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| 引用本文： | 徐语论,赵德芬,王薇.由任意初始点求解离散型约束全局优化问题[J].数学杂志,2011,31(3):539-546. |
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| 作者姓名： | 徐语论 赵德芬 王薇 |
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| 作者单位： | 华东理工大学数学系,上海,200237 |
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| 摘 要： | 本文研究了带约束离散型非线性全局优化的求解问题.利用0-1变量提出了一个离散填充函数算法.该算法可由任意初始点出发,不断求得更好的局部极小点,以期得到离散全局最小点.文章同时讨论了所构造的填充函数的性质,给出了数值试验结果.
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| 关 键 词： | 离散全局优化 约束问题 离散填充函数 特殊边界点 |
SOLVING DISCRETE GLOBAL OPTIMIZATION PROBLEM WITH CONSTRAINTS FROM ANY INITIAL POINT |
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| XU Yu-lun,ZHAO De-fen,WANG Wei.SOLVING DISCRETE GLOBAL OPTIMIZATION PROBLEM WITH CONSTRAINTS FROM ANY INITIAL POINT[J].Journal of Mathematics,2011,31(3):539-546. |
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| Authors: | XU Yu-lun ZHAO De-fen WANG Wei |
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| Institution: | (Dept.of Math.,East China University of Science and Technology,Shanghai 200237,Chian) |
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| Abstract: | The purpose of this article is to present a method of solution for the discrete global optimization problem with constraints.A discrete filled function with the 0-1 variable is proposed.The better minimum can be gotten by the filled function from any initial point so as to find a global minimizer.Also the properties on the filled function are discussed and the results of numerical experiments are listed at the end. |
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| Keywords: | discrete global optimization constrained problem discrete filled function special boundary point |
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