Save Global Optimization With Method Of Center

In real life, many important problems are involved in selecting the bestgoal, or choose some parameters or determine some values to achieve thisgoal. These problems can come down to optimization problems. Globaloptimization problem is an important ranch of optimization problem andit is a kind of widely-apply problem. In particular, it applies engineering,economics, finance, national defense and management science, and manyother important areas. It is an important and challenging task in modernoptimization theory and methods.An eficient algorithm, named as method of center, for solving globaloptimization problems is discussed in the pater. The main contents areorganized as follows:In chapter 1, some deFInitions and optimization models about the op-timization problem are introduced, so that we can fully understand theoptimization of knowledge. Global optimization problems and some of itsmain methods are brieffy introduced.In chapter 2, to understand method of center, Huard algorithm andmethod of center of the general nonlinear programming algorithm are in-troduced.In chapter 3, the method of center of single objective problem of globaloptimization is proposed. We use aggregate function to approximate andsmooth the distance function in algorithm, and discussed the origin andsome of its simple properties on aggregate function.In chapter 4, six examples are calculated, using the method of centerof global optimization problem. We compare the results with their exactsolutions or the optimal solutions. These examples are proved to demon-strate the effectiveness and feasibility of proposed method.