Advanced Smoothing Approaches for Global Minimization: Algorithmic Design and Applications
Mathematics, cilt.14, sa.15, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 14 Sayı: 15
- Basım Tarihi: 2026
- Doi Numarası: 10.3390/math14152751
- Dergi Adı: Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, zbMATH, Directory of Open Access Journals, Academic Search Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Anahtar Kelimeler: auxiliary function, global optimization, non-convex optimization, smoothing techniques, truss structure
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
This paper addresses the unconstrained global minimization of continuously differentiable functions by introducing a novel global optimization framework based on the auxiliary function approach. First, a robust auxiliary function that remains unaffected by parameter variations is proposed. Building upon this formulation, two new local-search-based algorithms are developed, and their numerical stabilization is thoroughly analyzed. To validate the efficiency and real-world applicability of the proposed approach, the algorithms are evaluated on standard benchmark functions as well as the challenging 25-bar space truss weight optimization problem. Comparative analyses with state-of-the-art methods demonstrate that the proposed algorithms offer superior performance and robustness.