基于图像空间分析的多目标优化问题最优性条件

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-05-12 DOI:10.1080/01630563.2023.2208867

Yingrang Xu, S. Li

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引用次数: 0

摘要

摘要利用图像空间分析方法，研究了多目标优化问题(弱)有效解的最优性条件。用有向距离函数构造了一类强分离函数。同时，通过强分离函数类引入了广义拉格朗日函数。然后，建立了广义Karush-Kuhn-Tucker(简称KKT)必要最优性条件，不考虑约束条件和正则性条件。在适当的假设下，还刻画了拉格朗日型充分最优性条件。并对强分离和弱分离方法的区别进行了说明。

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Optimality Conditions for Multiobjective Optimization Problems via Image Space Analysis

Abstract In this article, optimality conditions on (weak) efficient solutions in multiobjective optimization problems are investigated by using the image space analysis. A class of strong separation functions is constructed by oriented distance functions. Simultaneously, a generalized Lagrange function is introduced by the class of strong separation functions. Then, generalized Karush-Kuhn-Tucker (KKT for short) necessary optimality conditions are established without constraint qualifications or regularity conditions. Under the suitable assumptions, Lagrangian-type sufficient optimality conditions are also characterized. Moreover, the difference between strong separation and weak separation methods is explained.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.