Relaxed Cutting Plane Method with Convexification to Solve Nonlinear Semi-Infinite Programming Problems

机译：凸松弛割平面法求解非线性半无限规划问题。

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We present an algorithm to solve the nonlinear semi-infinite programming problem (NSIP) in this paper. To deal with the nonlinear constraint, we use the u000bBB method, which has been used widely in global optimization, to construct numerous concave functions to approximate the nonlinear constraint function.

机译：本文提出了一种解决非线性半无限规划问题的算法。为了处理非线性约束，我们使用已在全局优化中广泛使用的u000bBB方法构造许多凹函数来逼近非线性约束函数。

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来源
《The 8th international conference on optimization: Techniques and Applications》|2010年|95|共1页
会议地点 Shanghai(CN)
作者
Ting-Jang Shiu; Soon-Yi Wu;
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作者单位

Department of Mathematics, National Cheng Kung University, Tainan, Taiwan;

Department of Mathematics, National Cheng Kung University, Tainan, Taiwan;

National Center for Theoretical Sciences, Taiwan;

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会议组织
原文格式 PDF
正文语种 eng
中图分类系统优化;
关键词
Nonlinear semi-infinite programming; convexification approximation; cutting plane method;

机译：非线性半无限规划；凸逼近；切平面法;

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专利

1. Relaxed cutting plane method with convexification for solving nonlinear semi-infinite programming problems [J] . Shiu T.-J., Wu S.-Y. Computational optimization and applications . 2012,第1期

机译：求解非线性半无限规划问题的凸凸松弛切面法
2. Relaxed cutting plane method with convexification for solving nonlinear semi-infinite programming problems [J] . Ting-Jang Shiu, Soon-Yi Wu Computational Optimization and Applications . 2012,第1期

机译：求解非线性半无限规划问题的凸凸松弛切面法
3. Relaxed cutting plane method for solving linear semi-infinite programming problems [J] . Wu SY., Lin CJ., Fang SC. Journal of Optimization Theory and Applications . 1998,第3期

机译：求解线性半无限规划问题的松弛割平面方法
4. Relaxed Cutting Plane Method with Convexification to Solve Nonlinear Semi-Infinite Programming Problems [C] . Ting-Jang Shiu, Soon-Yi Wu International conference on optimization: Techniques and Applications . 2010

机译：凸透凸面脱落平面方法解决非线性半无限规划问题
5. Disjunctive cutting planes and algorithms for convex Mixed Integer Nonlinear Programming. [D] . Kilinc, Mustafa Rasim. 2011

机译：凸混合整数非线性规划的分离剖切面和算法。
6. Analytic center cutting plane methods for variational inequalities over convex bodies [O] . Renying Zeng -1

机译：凸体变分不等式的解析中心剖切面方法
7. Relaxed Cutting Plane Method for Solving Linear Semi-Infinite Programming Problems [O] . Wu, S. Y., Fang, S. C., Lin, C. J. 1998

机译：求解线性半无限规划问题的宽松切割平面法
8. Using an Interior Point Cutting Plane Method to Solve Integer Programming Problems. [R] . Mitchell, J. E. 1992

机译：用内点切割平面法求解整数规划问题。

Relaxed Cutting Plane Method with Convexification to Solve Nonlinear Semi-Infinite Programming Problems

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