State of art of optimisation and meta heuristic a comparative study of the Harmony Search Algorithm

Over the years the science has developed rapidly. And the Optimization science also has been developed to solve the difficult problems. Now the optimization science is the tendency to solve several problems by applying algorithms and optimization methods (Meta heuristics Algorithms). In the previous decades, the researchers have worked and solved their problems with limited optimization methods (deterministic methods), that provide exact solution. But now these methods are not effective for the very complex problems, and this obstacle push the researchers to build other methods. In this paper a big state of art, and a very important comparative study are proposed. We talk about the state of art to more understand the methods and algorithms of optimization, also their procedure. For the comparative study we propose some algorithms of optimization next to the Harmony Search Algorithm (HS), we applied this algorithms on some tests functions to prove why Harmony search is successful.