A New Filled Function for Global Optimization


Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, vol.31, no.3, pp.207-220, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 3
  • Publication Date: 2023
  • Doi Number: 10.2478/auom-2023-0039
  • Journal Name: Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.207-220
  • Keywords: Auxiliary function, Bezier curve, Filled function method, Global optimization
  • Eskisehir Osmangazi University Affiliated: Yes


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.