Non parameter-filled function for global optimization

Pandiya, Ridwan and Widodo, Widodo and Salmah, Salmah and Endrayanto, Irwan (2021) Non parameter-filled function for global optimization. APPLIED MATHEMATICS AND COMPUTATION, 391. ISSN 0096-3003

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Abstract

It has been generally recognized that most of the existing parametric filled function meth-ods used for finding the global mininizer of unconstrained global optimization problems have computational weaknesses. In this paper, a new non parameter-filled function is proposed. This type of auxiliary function behaves as a bridge that can deliver one minimizer to another local minimizer, if one exists. To prove that the proposed filled function satisfies the filling properties required by the filled function definition, the analytical properties are explored. Through several test examples, the capability of this proposed method is demonstrated and the computational weaknesses of the parametric filled function are proved to be surmounted by this new non parameter-filled function. (c) 2020 Elsevier Inc. All rights reserved.

Item Type: Article
Uncontrolled Keywords: Global minimizer; Unconstrained global optimization; Filled function method; Parameter-free; Nonlinear programming
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Mathematics and Natural Sciences > Mathematics Department
Depositing User: Sri JUNANDI
Date Deposited: 22 Oct 2024 00:59
Last Modified: 22 Oct 2024 00:59
URI: https://ir.lib.ugm.ac.id/id/eprint/9012

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