Recently modern optimization methods are often met heuristics and they are very promising in solving NP-difficult optimization problems. The firefly algorithm (FA) from the met heuristics algorithms have become an increasingly important tool of Swarm Intelligence that has been applied in almost all areas of optimization, in addition to engineering practice. Many problems from different fields have been successfully solved using the firefly algorithm and its variants. In this paper, we aim to extend the firefly algorithm (EFA) by mixed it with Polyak's log-sigmoid function and The second and third algorithms were using the hybridization of the penalty function with Polyak's log-sigmoid function (H1FA) and the latter with a augmented Lagrangian function (H2FA) The latest algorithm was given a new style by splitting Polyak's log-sigmoid function on penalty function All the algorithms proposed in the search to solve nonlinear and engineering problems. We have analyzed it similarities and difference with particle swarm optimization. These algorithms were implemented and compared to get a good numerical results.
Publication Date
5/25/2018
Publisher
International Journal of Enhanced Research in Science, Technology & Engineering