A Convergent Differential Evolution Algorithm with Hidden Adaptation Selection for Engineering Optimization

Algorithm 1

Pseudocode of SaCDEhaS (SaCDEhaS/rand/1/bin).

initialize parameters 𝑁𝑃, 𝐹, CR, 𝑃_ac and population 𝑋

while! termination_condition do

 for  𝑔=0 to 𝑔_𝑚𝑎𝑥

  for  𝑖=0  to  𝑁𝑃

   update 𝐹, CR according to formulas (6) and (7)

   𝑣^𝑔_𝑖 = mutation_DE/rand/1 (𝑋, 𝐹)

   𝑢^𝑔_𝑖 = crossover_DE/*/bin (𝑥^𝑔_𝑖, 𝑣^𝑔_𝑖, 𝐶𝑅)

   𝑤^𝑔_𝑖 = uniform_mutation (𝑢^𝑔_𝑖, 𝑃_ac)

   𝑥^𝑔_𝑖 = connotatively_adaptive_selection (𝑥^𝑔_𝑖, 𝑤^𝑔_𝑖, 𝑃_ac)

   𝑖=𝑖+1

  end for

   𝑔=𝑔+1

 end for

end while