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Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2019 / Cilt: 9 - Sayı: 3

A new auxiliary function approach for inequality constrained global optimization problems

Nurullah YİLMAZ
Ahmet SAHİNER
Pages
31–38
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, we illustrate the efficiency of the algorithm on some numerical examples.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we deal with the nonlinear constrained global optimization problems.
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Key Findings & Data:First, we introduce a new smooth exact penalty function for solvingconstrained optimization problems.
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Conclusion & Impact:Finally, we illustrate the efficiency of the algorithm on some numerical examples.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, we deal with the nonlinear constrained global optimization problems. First, we introduce a new smooth exact penalty function for solvingconstrained optimization problems. We combine the exact penalty functionwith the auxiliary function in regard to constrained global optimization. Wepresent a new auxiliary function approach and the adapted algorithm in orderto solve non-linear inequality constrained global optimization problems. Finally, we illustrate the efficiency of the algorithm on some numerical examples.

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Cite This Article

YİLMAZ, N., SAHİNER, A. (2022). A new auxiliary function approach for inequality constrained global optimization problems. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 9 - Sayı: 3, 31–38. https://ajindex.com/articles/440588

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