procedure
The 'Bubble-net attacking method' (exploitation phase) of the Whale Optimization Algorithm employs two approaches: (1) 'Shrinking encircling,' where the step size reduces as iterations progress by decreasing the parameter 'a' from 2 to 0, which decreases the coefficient vector 'A' within the interval [-a, a]; and (2) 'Spiral updating,' which models the spiral movement of a whale towards prey using the distance between the prey and the whale, a constant 'b' defining the shape of the logarithmic spiral, and a random number 'l' in the range [-1, 1]. A probabilistic approach is used to select between these two models during the exploitation phase.

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