Unconstrained Global Optimization Method Based on a Novel Filled Function Approach


Authors : Emad Fathi Hussien QASIM; Idris ABDULHAMID; Abdalmola MOHAMED

Volume/Issue : Volume 6 - 2021, Issue 12 - December

Google Scholar : http://bitly.ws/gu88

Scribd : https://bit.ly/3JKjliP

DOI : https://doi.org/10.5281/zenodo.6198734

In this paper, we propose a new single-factor filled function only where this new filled function is not only easily decomposable but also uniformly approximated by a continuously differentiable function. Therefore, a thumbnail of the proposed filled function can be obtained simply by using the local optimization algorithm. Then, the obtained minimizer is taken as a prime number to reduce the objective function, and by repeating this process, a better miniature is found. And we will finally have a global minimizer. Through the numerical results of the proposed new filled function, it becomes clear to us the effectiveness of this method

Keywords : Global Optimization; Filled Function Method; Global Minimize; Local Minimizer; Strict Local Maximizer; Smoothing Technique.

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