A global optimization approach to Berge equilibrium based on a regularized function

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-07-30 DOI:10.1007/s11590-024-02141-w

G. Battur, S. Batbileg, R. Enkhbat

引用次数: 0

Abstract

This work deals with a Berge equilibrium problem (BEP). Based on the existence results of Berge equilibrium of Nessah et al. (Appl Math Lett 20(8):926–932. 2007), we consider BEP with concave objective functions. The existence of Berge equilibrium has been proven. BEP reduces to nonsmooth optimization problem. Then using a regularized function, we reduce a problem of finding Berge equilibrium to a nonconvex global optimization problem with a differentiable objective functions. The later allows to apply optimization methods and algorithms to solve the original problem.

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基于正则函数的 Berge 平衡全局优化方法

本研究涉及 Berge 平衡问题 (BEP)。基于 Nessah 等人的 Berge 平衡存在性结果（Appl Math Lett 20(8):926-932.2007）的基础上，我们考虑了具有凹目标函数的 BEP。Berge 平衡的存在已被证明。BEP 简化为非光滑优化问题。然后，利用正则化函数，我们将寻找 Berge 平衡的问题简化为具有可微目标函数的非凸全局优化问题。之后，我们就可以应用优化方法和算法来解决原始问题。

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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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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