Enhancing the Zebra Optimization Algorithm with Chaotic Sinusoidal Map for Versatile Optimization

Abstract

In this study, the Chaotic Sinusoidal Map (CSM)-enhanced Zebra Optimization Algorithm (CZOA)is introduced. CZOA combines CSM's integration strengths with ZOA's optimization skills. ZOA already exhibitsgreat optimization capabilities, but the addition of CSM increases its potential even more. This addition greatlystrengthens ZOA's exploration and exploitation skills and increases its flexibility for various optimization tasks.CZOA outperforms both the original ZOA and contemporary optimisation methods on 23 benchmark functions,including high-dimensional (FD), multimodal (MM), and unimodal (UM) challenges. Using the chaos of CSM toinvestigate regional optimal and determine better convergence and exploration-exploitation equilibrium are shownby CZOA, which also shows more profitable solution locations. CZOA demonstrates its resilience and versatilitythrough multiple benchmark activities, underscoring its potential as an adaptable optimisation tool. CZOAbecomes a potent metaheuristic by combining biological inspiration and chaotic dynamics to solve difficultoptimisation problems. Inspired by the natural behaviour of zebras, the Zebra Optimisation Algorithm (ZOA) is arelatively new optimisation technique. It makes use of a herd behaviour mechanism and the ideas of leadership andfollowing, in which members of the population—zebras in this case—cooperate to solve optimisation issues in thebest possible ways