Geoscience Reference
In-Depth Information
Fig. 1.
Strategically located initial population.
population of points was proposed in a previous study.
8
Figure 1 shows
the locations of points of initial population, suggested by the proposed
scheme, for a 2-dimensional (2D) search space. The strategically located
initial population was shown to increase the exploratory capability of the
search algorithm.
In this study, with the aim of improving the exploitative capability,
a modification to the simplex search method is presented. In the simplex
search method employed in the original SCE-UA, the new points are gen-
erated by reflecting (or contracting) the worst point (
X
w
in Fig. 2) in a
simplex about the centroid of the remaining points (
X
c
). We propose to
shift the newly generated reflected (or contracted) point towards the best
Fig. 2.
The reflection and contraction steps when
θ
=0
.
5.