Title of article :
Unimodality Tests for Global Optimization of Single Variable Functions Using Statistical Methods
Author/Authors :
bin Mohd, Ismail Universiti Malaysia Terengganu (UMT) - Faculty of Science and Technology - Department of Mathematics, Malaysia , Ningsih, Siska Candra Universiti Malaysia Terengganu (UMT) - Faculty of Science and Technology - Department of Mathematics, Malaysia , Dasril, Yosza Universiti Malaysia Terengganu (UMT) - Faculty of Science and Technology - Department of Mathematics, Malaysia
Abstract :
This paper discusses the randomness and normality tests to the set of points which are obtained by splitting an interval under consideration into several subintervals for verifying that the optimization problem constitutes a Wiener process. Then, by using the optimization probabilistic algorithm, a best subinterval can be chosen for unimodality test and will be continued with a simple local search method, starting at any point in the such chosen best interval. Furthermore, numerical results are given to illustrate the tests
Keywords :
Global optimization , probability , randomness test , normality test , and unimodality test
Journal title :
Malaysian Journal of Mathematical Sciences
Journal title :
Malaysian Journal of Mathematical Sciences
