A Comparison of Selected Modifications of the Particle Swarm Optimization Algorithm

Algorithm 1

Original PSO algorithm.

(1)    initialize the position and velocity of all particles

(2)   repeat

(3)         for  each particle 𝑖=1  to  𝑆  do

(4)                if  𝑓𝐗_𝐢<𝑓𝐏_𝐢  then

(5)                       𝐏_𝐢=𝐗_𝐢

(6)                end if

(7)                𝐆=min𝐏_𝟎,𝐏_𝟏,…,𝐏_𝐒

(8)                for  each dimension 𝑑=1  to  Dim  do

(9)                       𝐯^𝐢_𝐝=𝐯^𝐢_𝐝+𝑐₁⋅𝑟₁⋅𝐩^𝐢_𝐝−𝐱^𝐢_𝐝+𝑐₂⋅𝑟₂⋅𝐠_𝐝−𝐱^𝐢_𝐝

(10)                     𝐱^𝐢_𝐝=𝐱^𝐢_𝐝+𝐯^𝐢_𝐝

(11)              end for

(12)       end for

(13) until termination criteria is met