Initialisation
From Adaptive Population based Simplex
Basic initialisation (i0)
Draw at random $N$ agents (positions) in the search space, according to an uniform distribution.
$N=\max\left(40+2\sqrt{D},\sqrt{40^{2}+\left(D+2\right)^{2}}\right)\tag{1}$
where $D$ is the dimension of the search space. Note that $N$ needs to be at least equal to $D+
We will need the volume $V(0)$ of the previous simplex. As no one has been defined yet, we simply set it to 0:
UNIQ2161aedf30d59536-MathJax-3-QINU
=== Population cost ===
Evaluate the $N$ individuals. Save the best one as $Best$.
The sum of all values (they are all supposed to be positive, which is always possible), is the initial ''population cost'' $C$. We are trying here to minimise it.
