A NOVEL MODELING AND SMOOTHING TECHNIQUE IN GLOBAL OPTIMIZATION

ŞAHİNER A. , YILMAZ N. , KAPUSUZ G.

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, vol.15, no.1, pp.113-130, 2019 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 1
  • Publication Date: 2019
  • Doi Number: 10.3934/jimo.2018035
  • Title of Journal : JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION
  • Page Numbers: pp.113-130
  • Keywords: Global optimization, blending surface, data modeling, smoothing technique, FILLED FUNCTION-METHOD, MINIMIZATION, SURFACES, NONSMOOTH, CURVES, CMARS

Abstract

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.