Generate a set of habitats for a problem

Evaluate the fitness value or HSI for each habitat

while stopping criterion is not met

Determine immigrating rate $\lambda$ and emigrating rate $\mu$ for each habitat

Modify the habitats based on $\lambda$ and $\mu$

for$i=1$: N (population size) do

Use $\lambda$ to probabilistically decide whether to modify to emigration

if rand (0, 1) < ${\lambda }_i$

Select Habitat $H_j$ through roulette wheel method to emigration

Perform migration on $H_i$ and $H_j$

Evaluate the fitness value or his

Replace the new solution with $H_i$

end if

if rand (0, 1) < $P_{Mutation}$

Apply mutation on $H_i$

Evaluate the fitness value or HSI for the newly generated solution

end if

end for

Update habitats’ population

end while