A Filled Function Method Based on Dimensionality Reduction

This paper presents a filled function method based on reducing dimension technology.The method will be used for the nonlinear global optimization problems with box constraints.Firstly,a reducing transformation is used to convert an n-variable problem into a one-variable problem.Secondly,the one-variable problem is solved by filled function method.The paper proves the theoretical characteristic of filled function,gives the algorithm and lists the experimental results at last.