In order to further improve the exploration and exploitability of Differential Evolution (DE) algorithm, Bessel mutation strategy based on grid entropy is proposed to improve iLSHADE-RSP algorithm. The new algorithm is called BiLSHADE-RSP. It has the following features: (1) A grid entropy for observing the convergence of the population is proposed to be used as a signal of applying Bessel mutation strategy; (2) A mutation strategy based on Bessel curve is designed to enhance the exploitability of DE. BiLSHADE-RSP is compared with five algorithms, namely iLSHADE-RSP, LSHADE-RSP, L-SHADE, DCDE and FNADE. We use CEC2017 test suit to verify the performance of the proposed algorithm. Experimental results show that the improvement in BiLSHADE-RSP algorithm has achieved the best effect on complex test functions, and its solution accuracy is better than the current popular DE variants.
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