IDEL: An Improved Differential Evolution with Lissajous Mutation

Differential Evolution (DE) represents an advanced evolutionary algorithm due to its continuous innovation and advances around its operators and applications. In general, the mutation operator is designed to enhance the performance of Differential Evolution (DE) algorithms. The mutation operator is a vital component in enhancing the effectiveness of DE algorithms. The proposed mutation operator, the Lissajous Mutation (LM) is specifically designed to improve the balance between exploration and exploitation through the geometric origin of the Lissajous curves. This paper introduces an up-to-date version of Differential Evolution with Lissajous Mutation, Multi-crossover, and Dynamic selection (IDEL). This new DE variation presents changes in all the fundamental stages, well-known as Mutation, Crossover, and Selection. Through a series of meticulously designed experiments and rigorous comparisons with existing DE variants, the effectiveness of IDEL is demon-strated. IDEL showcases notable improvements in convergence speed, exploration-exploitation equilibrium, and solution quality across diverse benchmark scenarios. This paper contributes to the ongoing growth of DE and presents a novel way to enhance its overall performance.