| 求有约束总极值的水平值估计方法 |
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| 引用本文： | 俞武扬,邬冬华,吕瑜佩. 求有约束总极值的水平值估计方法[J]. 上海大学学报(英文版), 2004, 8(2): 128-131. DOI: 10.1007/s11741-004-0026-2 |
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| 作者姓名： | 俞武扬 邬冬华 吕瑜佩 |
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| 作者单位： | DepartmentofMathematics,CollegeofSciences,ShanghaiUniversity,Shanghai2000436,China |
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| 摘 要： | The penalty method is a popular method for solving constrained optimization problems,which can change the constrained optimization to the unconstrained optimization.With the integral-level set method,a new approach was proposed,which i sbriefer than the penalty method,to achivev the unconstrained optimization and a nonlinear equality.By studying the properties of the function.a level-value estimate algorithm and an implementation algorithm were given by means of the uniform distribution of the good point set.
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| 关 键 词： | 水平值估计 积分水平集 总极值 约束最优化 全局最小化 |
| 收稿时间： | 2003-04-07 |
A level-value estimate method for solving constrained global optimization |
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| Yu Wu-yang,Wu Dong-hua,Lü Yu-pei. A level-value estimate method for solving constrained global optimization[J]. Journal of Shanghai University(English Edition), 2004, 8(2): 128-131. DOI: 10.1007/s11741-004-0026-2 |
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| Authors: | Yu Wu-yang Wu Dong-hua Lü Yu-pei |
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| Affiliation: | Department of Mathematics, College of Sciences, Shanghai University, Shanghai 2000436, China |
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| Abstract: | The penalty method is a popular method for solving constrained optimization problems, which can change the constrained optimization to the unconstrained optimization. With the integral-level set method, a new approach was proposed, which is briefer than the penalty method, to achieve the transform by constructing a simple function, then a level-value function was introduced to construct the equivalence between the unconstrained optimization and a nonlinear equality. By studying the properties of the function, a level-value estimate algorithm and an implementation algorithm were given by means of the uniform distribution of the good point set. |
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| Keywords: | global optimization constrained optimization integral-level set level-value estimate |
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