A Class of Non-Limiting Factor Filling Functions for Global Minimization

IF 0.5 Q3 MATHEMATICS

Asian-European Journal of Mathematics Pub Date : 2023-09-26 DOI:10.1142/s1793557123502054

Ridwan Pandiya, None Salmah, None Widodo, Irwan Endrayanto

引用次数: 0

Abstract

This study aims to provide a non-limiting factor auxiliary function in a general form. This function, under some assumptions, is proven to fulfill the properties of filling functions. The properties of the proposed method, which include continuously differentiable and the absence of any limiting factor, provide an advantage during numerical experiments for solving some global optimization problems. A numerical comparison was performed, and the results confirmed that our filling function has several advantages compared with other filling functions. Moreover, numerical computational results demonstrate the reliability and effectiveness of the proposed filling function.

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一类全局最小化的非极限因子填充函数

本研究旨在提供一个一般形式的非限制因子辅助函数。在一定的假设条件下，证明了该函数满足填充函数的性质。该方法具有连续可微和不存在任何限制因素的特点，在数值实验中对求解一些全局优化问题具有优势。通过数值比较，结果证实了我们的填充函数与其他填充函数相比具有几个优点。数值计算结果验证了所提填充函数的可靠性和有效性。

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

Asian-European Journal of Mathematics MATHEMATICS-

CiteScore

1.30

自引率

12.50%

发文量

169

期刊介绍： Asian-European Journal of Mathematics is an international journal which is devoted to original research in the field of pure and applied mathematics. The aim of the journal is to provide a medium by which new ideas can be discussed among researchers from diverse fields in mathematics. It publishes high quality research papers in the fields of contemporary pure and applied mathematics with a broad range of topics including algebra, analysis, topology, geometry, functional analysis, number theory, differential equations, operational research, combinatorics, theoretical statistics and probability, theoretical computer science and logic. Although the journal focuses on the original research articles, it also welcomes survey articles and short notes. All papers will be peer-reviewed within approximately four months.