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Hybrid whale optimisation and β-hill climbing algorithm for continuous optimisation problems

The whale optimisation algorithm (WOA) is an efficient optimisation algorithm inspired by the bubble-net hunting strategy of humpback whale. As any optimisation algorithm, WOA may prematurely converge to suboptimal solutions. This paper introduces a new hybrid WOA algorithm (WOABHC) that efficiently combines the WOA algorithm with the β-hill climbing algorithm (BHC) to control the diversity of the search space. The β-hill climbing algorithm is called at each iteration of WOABHC based on the probability function used in simulated annealing to reduce the number of computations required to achieve a good solution. WOABHC was tested and compared to well-known optimisation algorithms using 25 standard benchmark functions. The experimental results confirm the efficiency of the proposed method in improving the accuracy of the results compared to WOA and other well-known optimisation algorithms.