参数非凸微分编程中的最优性条件和敏感性分析

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-04-08 DOI:10.1007/s10898-024-01388-y

D. T. V. An, N. H. Hung, D. T. Ngoan, N. V. Tuyen

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引用次数: 0

摘要

在本文中，我们将对参数非凸最小线性规划问题进行最优性条件和敏感性分析。我们的目的是利用莫尔杜霍维奇（极限）次微分来研究必要的最优性条件，并给出所考虑问题中最优值函数的莫尔杜霍维奇次微分的上估计值。通过使用最大函数的莫尔杜霍维奇子微分的上估计值，可以获得最优性条件和敏感性分析。然后将最优性条件的结果应用于参数多目标优化问题。举例说明我们的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Optimality conditions and sensitivity analysis in parametric nonconvex minimax programming

In this paper, we perform optimality conditions and sensitivity analysis for parametric nonconvex minimax programming problems. Our aim is to study the necessary optimality conditions by using the Mordukhovich (limiting) subdifferential and to give upper estimations for the Mordukhovich subdifferential of the optimal value function in the problem under consideration. The optimality conditions and sensitivity analysis are obtained by using upper estimates for Mordukhovich subdifferentials of the maximum function. The results on optimality conditions are then applied to parametric multiobjective optimization problems. An example is given to illustrate our results.

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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.

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