Initialisation

Basic initialisation (i0)

Population size vs Dimension

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)$of the previous simplex. As no one has been defined yet, we simply set it to 0: UNIQ69a446678ceaeca2-MathJax-3-QINU === Population cost === Evaluate the$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.