Algorithm Designs About One Kind Of Optimization Programming

Optimization is a very useful subject. It can be used in the field of aeronautics and astronautics, life science, engineering science and financial science. In this thesis we investigate a special kind of constrained optimization.In this article we propose a new type of function, which is called a semi-positive function. We use this function to make another function, then we can turn the original problem into another one. We give algorithms and numerical results. Then we investigate the sub-problem. Also we propose the definition of quasi-filled function. We propose a quasi-filled function and design algorithm. It mainly contains the following six chapters:In the first Chapter, we give a brief introduction for the research background and current situation.Chapter 2 is a summarization of local optimization algorithms and global optimization algorithms.Chapter 3, firstly, we propose the definition of semi-positive function, then we use this function construct algorithms and do numerical experiments.Chapter 4, in this part, we use filled function to solve sub-problem. We construct an algorithm.Chapter 5, in this part, we propose the definition of quasi-filled function, and give a quasi-filled function.Chapter 6, a conclusion is simply given. Some deficiencies in our work are pointed out and a future investigation is also discussed.