Mathematical Modeling and Discrete Firefly Algorithm to Optimize Scheduling Problem with Release Date, Sequence-Dependent Setup Time, and Periodic Maintenance

Algorithm 1

Classic Firefly Algorithm (FA).

Parameter Initialization for the algorithm & define the objective function )

Generation of the initial population .

while i ≤ number of fireflies do

Evaluation of the light intensity

i++;

End

while x ≤ Maximum number of iterations do

i← 1;

while i ≤ number of fireflies do

j← 1;

while j ≤ number of fireflies do

if

Calculate the distance between two fireflies

Firefly with less luminous moves to the brighter once

Attractiveness varies with distance r via ;

Evaluation of the light intensities of new solutions and update the light

intensity;

j++;

End

Rank the fireflies and obtain the current best;

i++;

End

x ++;

end