Modelling and Simulation in Engineering

Research Article

Investigation on Evolutionary Computation Techniques of a Nonlinear System

Pseudocode 2

Pseudocode of DE.
1. Input: 𝐷 , 𝐺 m a x , 𝑁 𝑃 ≥ 4 , 𝐹 ∈ ( 0 , 1 + ) , 𝐶 𝑅 ∈ [ 0 , 1 ] , and initial bounds: 𝑥 ( 𝑙 𝑜 ) , 𝑥 ( ℎ 𝑖 ) .
2. Initialize: ∀ 𝑖 ≤ 𝑁 𝑃 ∧ ∀ 𝑗 ≤ 𝐷 ∶ 𝑥 𝑖 , 𝑗 , 𝐺 = 0 = 𝑥 𝑗 ( 𝑙 𝑜 ) + 𝑟 𝑎 𝑛 𝑑 𝑗 [ 0 , 1 ] • ( 𝑥 𝑗 ( ℎ 𝑖 ) − 𝑥 𝑗 ( 𝑙 𝑜 ) ) 𝑖 = { 1 , 2 , … , 𝑁 𝑃 } , 𝑗 = { 1 , 2 , … , 𝐷 } , 𝐺 = 0 , 𝑟 𝑎 𝑛 𝑑 𝑗 [ 0 , 1 ] ∈ [ 0 , 1 ]
⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ 3 . W h i l e 𝐺 < 𝐺 m a x ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩ ∀ 𝑖 ≤ 𝑁 𝑃 4 . M u t a t e a n d r e c o m b i n e ∶ 4 . 1 𝑟 1 , 𝑟 2 , 𝑟 3 ∈ { 1 , 2 , . . . . , 𝑁 𝑃 } , r a n d o m l y s e l e c t e d , e x c e p t ∶ 𝑟 1 ≠ 𝑟 2 ≠ 𝑟 3 ≠ 𝑖 4 . 2 𝑗 𝑟 𝑎 𝑛 𝑑 ∈ { 1 , 2 , … , 𝐷 } , r a n d o m l y s e l e c t e d o n c e e a c h 𝑖 4 . 3 ∀ 𝑗 ≤ 𝐷 , 𝑢 𝑗 , 𝑖 , 𝐺 + 1 = ⎧ ⎪ ⎨ ⎪ ⎩ 𝑥 𝑗 , 𝑟 3 , 𝐺 + 𝐹 ⋅ ( 𝑥 𝑗 , 𝑟 1 , 𝐺 − 𝑥 𝑗 , 𝑟 2 , 𝐺 ) i f ( 𝑟 𝑎 𝑛 𝑑 𝑗 [ 0 , 1 ] < 𝐶 𝑅 ∨ 𝑗 = 𝑗 𝑟 𝑎 𝑛 𝑑 ) 𝑥 𝑗 , 𝑖 , 𝐺 o t h e r w i s e 5 . S e l e c t 𝑥 𝑖 , 𝐺 + 1 = 𝑢 𝑖 , 𝐺 + 1 i f 𝑓 ( 𝑢 𝑖 , 𝐺 + 1 ) ≤ 𝑓 ( 𝑥 𝑖 , 𝐺 ) 𝑥 𝑖 , 𝐺 o t h e r w i s e 𝐺 = 𝐺 + 1