A NOVEL MODELING AND SMOOTHING TECHNIQUE IN GLOBAL OPTIMIZATION
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, cilt.15, sa.1, ss.113-130, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 15 Sayı: 1
- Basım Tarihi: 2019
- Doi Numarası: 10.3934/jimo.2018035
- Dergi Adı: JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.113-130
- Anahtar Kelimeler: Global optimization, blending surface, data modeling, smoothing technique, FILLED FUNCTION-METHOD, MINIMIZATION, SURFACES, NONSMOOTH, CURVES, CMARS
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this paper, we introduce a new methodology for modeling of the given data and finding the global optimum value of the model function. First, a new surface blending technique is offered by using Bezier curves and a smooth objective function is obtained with the help of this technique. Second, a new global optimization method followed by an adapted algorithm is presented to reach the global minimizer of the objective function. As an application of this new methodology, we consider energy conformation problem in Physical Chemistry as a very important real-world problem.