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
Abstract :
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.
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.
