In 2012, Amir Hossein Gandomi and Amir Hossein Alavi presented the Krill Herd algorithm (KH), a revolutionary biologically inspired method for addressing optimization tasks. On the other hand, another new and powerful metaheuristic algorithm called FOX was proposed by Hardi Mohammed and Tarik Rashid in 2022, to address engineering difficulties, such as pressure vessel design and electrical power generating tasks, for example, economic load dispatch. The Dragonfly optimization algorithm, Particle Swarm Optimization algorithm, Fitness Dependent Optimizer algorithm, Grey Wolf Optimization algorithm, Whale optimization algorithm, Chimp optimization algorithm, Butterfly optimization algorithm, and Genetic Algorithm are also evaluated against the FOX algorithm. This paper demonstrates how the KH and Fox Algorithms are implemented, and it uses them as a model in a case study to minimize a fitness function. As a consequence, the KH and FOX algorithms successfully enhanced the original population and found the best option.
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