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.