Method based on integral-level set in multi-objective optimization algorithm

doi:10.3778/j.issn.1002-8331.2008.35.018

Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (35): 59-61.DOI: 10.3778/j.issn.1002-8331.2008.35.018

• 理论研究 • Previous Articles Next Articles

Method based on integral-level set in multi-objective optimization algorithm

FANG Xiao-wei

Department of Mathematics，School of Science，Huzhou Teachers College，Huzhou，Zhejiang 313000，China

Received:2007-12-25 Revised:2008-03-07 Online:2008-12-11 Published:2008-12-11
Contact: FANG Xiao-wei

积分水平集的多目标规划

方晓伟

湖州师范学院理学院数学系，浙江湖州 313000

通讯作者: 方晓伟

Abstract

Abstract: An integral method for solving multi-objective optimization is proposed and the optimality conditions is given，but it is only a theoretic algorithm.The deterministic uniform distribution numerical integration，in number theory is applied to approach the level value and the level set，then an actual algorithm and its stop criterion are gotten.At last，several numerical examples are presented，which show that this algorithm is effective.

Key words: multi-objective optimization, integral-level set, numerical integration

摘要： 给出了一种基于积分水平集的求解多目标规划的概念性算法。用数论中确定性的一致分布的数值积分来逼近水平值和水平集，从而得到了实现性算法和算法终止准则。最后给出数值例子证明了算法的有效性。

关键词: 多目标规划, 积分水平集, 数值积分

FANG Xiao-wei. Method based on integral-level set in multi-objective optimization algorithm[J]. Computer Engineering and Applications, 2008, 44(35): 59-61.

方晓伟. 积分水平集的多目标规划[J]. 计算机工程与应用, 2008, 44(35): 59-61.

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Method based on integral-level set in multi-objective optimization algorithm

积分水平集的多目标规划

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