| 低阶精确罚函数的一种光滑化逼近(英文) |
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| 引用本文： | 赫振华,白富生.低阶精确罚函数的一种光滑化逼近(英文)[J].运筹学学报,2010,14(2):11-22. |
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| 作者姓名： | 赫振华 白富生 |
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| 作者单位： | 重庆师范大学数学与计算机科学学院,重庆,400047 |
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| 摘 要： | 本文对不等式约束优化问题给出了低阶精确罚函数的一种光滑化逼近.提出了通过搜索光滑化后的罚问题的全局解而得到原优化问题的近似全局解的算法.给出了几个数值例子以说明所提出的光滑化方法的有效性.
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| 关 键 词： | 运筹学 低阶精确罚函数 光滑化逼近 不等式约束优化问题 |
A Smoothing Approximation to the Lower Order Exact Penalty Function |
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| He Zhenhua,Bai Fusheng.A Smoothing Approximation to the Lower Order Exact Penalty Function[J].OR Transactions,2010,14(2):11-22. |
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| Authors: | He Zhenhua Bai Fusheng |
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| Institution: | He Zhenhua Bai Fusheng 1.School of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China |
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| Abstract: | In this paper, we propose a smoothing approximation to the lower order exact penalty functions for inequality-constrained optimization problems. An algorithm is
presented to obtain an approximate global solution of the original optimization problem by searching a global solution of the smoothed penalty problem. Several numerical examples are given to illustrate the effectiveness of the present smoothing method. |
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| Keywords: | Operations research lower order exact penalty function smoothing approximation inequality-constrained optimization problem |
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