<abstract xmlns="http://www.w3.org/1999/xhtml">
<p>The filled function method has recently become very popular in optimization theory, as it is an e cient and e ective method for finding the global minimizer of multimodal functions. However, the fact that the existing filled functions in the literature generally have exponential or logarithmic terms and/or parameter sensitivity reduces the e ectiveness of this method. In this study, we propose a new non parameter and without exponential/logarithmic terms filled function, which is numerically stable, and is successfully used to solve global optimization problems. Furthermore, we have demonstrated how successful this new filled function method in terms of e ciency with numerical experiments and comparisons.</p>
</abstract>

The filled function method has recently become very popular in optimization theory, as it is an e cient and e ective method for finding the global minimizer of multimodal functions. However, the fact that the existing filled functions in the literature generally have exponential or logarithmic terms and/or parameter sensitivity reduces the e ectiveness of this method. In this study, we propose a new non parameter and without exponential/logarithmic terms filled function, which is numerically stable, and is successfully used to solve global optimization problems. Furthermore, we have demonstrated how successful this new filled function method in terms of e ciency with numerical experiments and comparisons.

A New Filled Function for Global Optimization

Deparment of Mathematics and Computer Sciences

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"A New Filled Function for Global Optimization"}

The filled function method has recently become very popular in optimization theory, as it is an e cient and e ective method for finding the global minimizer of...

A New Filled Function for Global Optimization

Publié en ligne: 21 oct. 2023

Pages: 207 - 220

Reçu: 23 sept. 2022

Accepté: 14 févr. 2023

DOI: https://doi.org/10.2478/auom-2023-0039

Mots clés
Global optimization, Filled function method, Auxiliary function, Bezier curve

© 2023 Ahmet Şahiner et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

A New Filled Function for Global Optimization

Publié en ligne: 21 oct. 2023

Pages: 207 - 220

Reçu: 23 sept. 2022

Accepté: 14 févr. 2023

DOI: https://doi.org/10.2478/auom-2023-0039

Mots clésGlobal optimization, Filled function method, Auxiliary function, Bezier curve

© 2023 Ahmet Şahiner et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
Global optimization, Filled function method, Auxiliary function, Bezier curve