Research On Filling Function Method For Solving Global Optimization Problem

With the development of the society and the computer technology, optimization method has been involved in transportation, economic planning, production management, engineering design and many other aspects. And it attracts more and more people’s attention.In the first chapter, some basic knowledge of global optimization is given.Several global optimization algorithms are introduced, and some instructions are given according to the algorithm, which provides some ideas and guidance for the following chapters.In the second chapter, according to the definition of the filled function, a new filled function was constructed. And we give a filled function algorithm. Numerical experiments show that the algorithm is effective.The third chapter introduces the cut-peak function definition. A new cut-peak function and relevant properties were given. Combined with the function, a corresponding algorithm was given. Numerical experiments show that the algorithm is feasible.In the fourth chapter, according to the definition of stretching function, we construct a new stretching function, and give the relevant properties. Combined with the function, a new algorithm was given. Numerical experiments show that the algorithm is effective.