A New Filled Function for Global Optimization

ŞAHİNER A., ERMİŞ T., Awan M. W.

Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, cilt.31, sa.3, ss.207-220, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 3
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2478/auom-2023-0039
  • Dergi Adı: Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.207-220
  • Anahtar Kelimeler: Auxiliary function, Bezier curve, Filled function method, Global optimization
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

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.