Modified Biogeography-Based Optimization with Local Search Mechanism

Algorithm 2

Pseudocode of modified migration operator.

(1)   Begin

(2)   For   i = 1 to NP

(3)    Select 𝐻_𝑖 according to immigration rate 𝜆_𝑖 using sinusoidal migration model

(4)    If   𝐻_𝑖 is selected

(5)     For   j = 1 to NP

(6)      Generate fourmutually different integers 𝑟1,𝑟2,𝑟3,and𝑟4 in {1… NP}

(7)      Select according to emigration rate 𝜇_𝑗

(8)       If rand(0,1)<𝜇_𝑗

(9)       𝐻_𝑖(𝑆𝐼𝑉)=𝐻_𝑗(𝑆𝐼𝑉)

(10)    Else

(11)     𝐻_𝑖(𝑆𝐼𝑉)=𝐻_best(𝑆𝐼𝑉)+𝐹⋅𝐻_𝑟1(𝑆𝐼𝑉)−𝐻_𝑟2(𝑆𝐼𝑉)+𝐹⋅𝐻_𝑟3(𝑆𝐼𝑉)−𝐻_𝑟4(𝑆𝐼𝑉)

(12)    EndIf

(13)   EndFor

(14)  EndIf

(15) EndFor

(16) End