A New Logistic Dynamic Particle Swarm Optimization Algorithm Based on Random Topology

Table 1

Definition of benchmark functions.

Benchmark function	Formula
Sphere	𝐹(𝑥)=∑^𝑛𝑖=1𝑥^2𝑖
Schaffer's F6	𝐹(𝑥)=0.5+sin^2𝑥^2+𝑦^2−0.51.0+0.001𝑥^2+𝑦^22
Rastrigin	𝐹(𝑥)=10∗𝑛+∑^𝑛𝑖=1(𝑥^2𝑖−10cos(2𝜋𝑥𝑖))
Schwefel	𝐹(𝑥)=418.9829∗𝑛+∑^𝑛𝑖=1𝑥𝑖sin(|𝑥𝑖|)
Ackley	𝐹(𝑥)=−20⋅exp−0.21𝑛⋅∑^𝑛𝑖=1𝑥^2𝑖1−exp𝑛⋅∑^𝑛𝑖=1cos2𝜋𝑥𝑖+20+exp(1)