As a matter of fact, optimization approaches are widely used in lots of fields to find the best solutions for certain issues in recent years. In reality, the optimization refers to the use of optimization algorithms or models to find the overall or local optimal goal of the optimization problem under certain constraints. The optimization principle has been widely applied in various practical fields, such as power system engineering design, internet fields, production management, logistics planning, financial investment. With this in mind, this article will introduce and analyze the principle of optimization and applications of optimization principles in some fields. To be specific, the equations, solutions as well as the effectiveness of the applications will be analyzed and demonstrated. According to the analysis, the current limitations as well as the prospects will be given at the same time. Overall, these results shed light on guiding further exploration of implementation for optimization.