A Free Search Krill Herd Algorithm for Functions Optimization

Algorithm 1

Krill herd algorithm.

Begin

  Initialization. Set the generation counter 𝑖𝑡𝑒𝑟=1; initialize the population 𝑃 of NP krill individuals randomly and each

      krill corresponds to a potential solution to the given problem; set the foraging speed 𝑉_𝑓, maximum diffusion

      speed 𝐷^max, and maximum induced speed 𝑁^max;

  Fitness evaluation. Evaluate each krill individual according to its position.

     While the termination criterion is not satisfied or 𝑖𝑡𝑒𝑟<𝑖𝑡𝑒𝑟𝑀𝑎𝑥 Generation do

      Sort the population krill from best to worst.

       for  𝑖=1∶NP (all krill) do

        Perform the following motion calculation.

          Motion induced by the presence of other individuals

          Foraging motion

          Physical diffusion

        Implement the genetic operators.

        Update the krill individual position in the search space.

        Evaluate each krill individual according to its new position.

       end for

       Sort the population krill from best to worst and find the current best.

        𝑖𝑡𝑒𝑟=𝑖𝑡𝑒𝑟+1.

   End While

     Post-processing the results and visualization.

End