Application of Artificial Bee Colony Algorithm for numerical optimization technique

Artificial Bee Colony Algorithm is a nature-inspired evolutionary algorithm that imitates the intelligent behavior of honey bee swarm. It is one of the recent algorithms that imitate the foraging behavior of bees. A bee swarm optimization to solve various numerical problems has been presented in this paper. The paper describes an algorithm for implementation of different mathematical problems, such as single integration, eigen value and vector, etc., using Artificial Bee Colony Algorithm. Results with different number of bees are shown and best suited range of the number of bees, giving best solution to solve all problems has been shown and concluded. The results have shown that the Artificial Bee Colony algorithm has helped to achieve a near optimum solution of the problem defined and thus is successful in solving the mathematical problems with good accuracy.