Algorithm 1 the firefly algorithm

Initialize the parameters(α, β, γ, n)

Initialize randomly a population of n fireflies

Evaluate the fitness of the initial population at xi by       objective function

While (k < MaxGen) do

For i =1:n

For j = 1:n

If Firefly j is better than i

Firefly i moves towards j

End if

End for

Evaluate the new solution

End for

Rank and update the best solution found so far

Update iteration counter k;

Update α

End while