The Improved Equilibrium Optimization Algorithm with Levy Flight

It is still remaining the enthusiasm for new algorithms to solve the functions formulated by scientists describing the real world. In this paper, we improve the newly raised equilibrium optimization algorithm called here with Levy flight. Three traditional ways are discussed and the Levy flight to the best candidate in the equilibrium pool for each iteration is proved to perform better and other two proved to be failed. Simulation experiments on representatives of the unimodal and multimodal benchmark functions are carried out and another scalable experiment was carried out. Results showed that the improved algorithm with Levy flight could improve the EOA performance. However, some of the classical benchmark functions such as the Schwefel function remain difficulty to be solved.