A comparative study of distance dependent survival selections for sequential DE

Many of the conventional Differential Evolutions (DEs) have employed the discrete generation model that uses two populations, namely, old one and new one. Recently, a new DE based on the continuous generation model is proposed. In the continuous generation model, only one population is used. The new DE is sometimes called Sequential DE (SDE). Besides better convergence, SDE has some advantages. For instance, it becomes easy to introduce various survival selections into SDE. Therefore, four survival selections depending on the distance between two individuals are presented for SDE. Furthermore, in order to compare the effects of the distance dependent survival selections on SDE, not only the numerical experiment but also the statistical test is conducted on various benchmark problems.