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Author: Admin | 2025-04-28

To improve the original spiral search strategy, which avoids the reduced accuracy caused by long search steps. Each position dimension of a whale is generated by (11) instead of (10). X ( q + 1 ) = X * ( q ) + ( D p + b · l ) e b l cos ( 2 π l ) (11) Figure 3 shows the Archimedean spiral curve and the logarithmic spiral curve, where the blue solid line is the Archimedean spiral curve, and the red dashed line is the logarithmic spiral curve. It can be seen that the Archimedean spiral curve is characterized by equal pitch, and the search step can be set by setting the pitch.In the process of WOA, the strategy selection probability is set to 50% to choose encircling prey or the spiral updating position: X ( q + 1 ) = X * ( q ) − A · D ˜ , p 0.5 X * ( q ) + ( D p + b · l ) e b l cos ( 2 π l ) , p ≥ 0.5 (12) where p is a random value between (0, 1).If p is less than 50%, encircling prey is chosen. Otherwise, the Archimedean spiral strategy is chosen, and the whale position is updated by (11). In encircling prey, the prey is selected to pass by A. If | A | 1 , the optimal individual in the population is selected as the prey to execute encircling prey by (4) and (5). If | A | ≥ 1 , an individual is randomly selected as the prey, and the positions of population are updated by (8) and (9). By following the above three mechanisms, the whale swarm can gradually approach the optimal position. 3.2.5. Refraction LearningRL

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