| 求解有约束最优化问题的不连续罚函数积分总极值法 |
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| 引用本文： | 吴斌,崔洪泉,郑权.求解有约束最优化问题的不连续罚函数积分总极值法[J].上海大学学报(英文版),2005,9(5):385-390. |
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| 作者姓名： | 吴斌 崔洪泉 郑权 |
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| 作者单位： | [1]Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China [2]Columbus State University, Columbus, GA 31907, U.S.A. |
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| 摘 要： | 1IntroductionLetXbe a topological space ,Sa nonempty subsetofXandf:X→Ra real-valued function.Consider thefollowing constrained opti mization problem:c*=infx∈Sf(x) , (1)and the set of global mini mizers :H*={x∈S|f(x) =c*} (2)under the assumptions (see Refs .1] and 2]) :(A) :fis lower semi-continuous ,Sis closed andthere is a real numberbsuch that the setHb={x∈S|f(x)≤b} is a nonempty compact set ;(R) :fis upper robust onS,i.e.,{x∈S|f(x)
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| 关 键 词： | 积分极小化 非连续处罚函数 约束性 优化条件 |
| 文章编号： | 1007-6417（2005）05-0385-06 |
| 收稿时间： | 2004-06-16 |
| 修稿时间： | 2004-07-09 |
Integral global minimization of constrained problems with discontinuous penalty functions |
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| Wu?Bin,Cui?Hong-quan,Zheng?Quan.Integral global minimization of constrained problems with discontinuous penalty functions[J].Journal of Shanghai University(English Edition),2005,9(5):385-390. |
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| Authors: | Wu Bin Cui Hong-quan Zheng Quan |
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| Institution: | Shanghai University |
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| Abstract: | A class of discontinuous penalty functions was proposed to solve constrained minimization problems with the integral approach to global optimization, m-mean value and v-variance optimality conditions of a constrained and penalized minimization problem were investigated. A nonsequential algorithm was proposed. Numerical examples were given to illustrate the effectiveness of the algorithm. |
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| Keywords: | integral global minimization constrained minimization problems discontinuous penalty functions |
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