Solving one-dimensional unconstrained global optimization problem using parameter free filled function method

Ismail Bin Mohd, Yosza Dasril, Ridwan Pandiya, Herlina Napitupulu

Abstract


It is generally known that almost all filled function methods for one-dimensional unconstrained global optimization problems have computational weaknesses. This paper introduces a relatively new parameter free filled function, which creates a non-ascending bridge from any local isolated minimizer to other first local isolated minimizer with lower or equal function value. The algorithm’s unprecedented function can be used to determine all extreme and inflection points between the two considered consecutive local isolated minimizers. The proposed method never fails to carry out its job. The results of the several testing examples have shown the capability and efficiency of this algorithm while at the same time, proving that the computational weaknesses of the filled function methods can be overcomed.

Keywords


curvature; filled function; global optimization; local optima; Newton’s method;

Full Text:

PDF


DOI: http://dx.doi.org/10.12928/telkomnika.v17i4.10885

Article Metrics

Abstract view : 76 times
PDF - 24 times

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.