Solve The Optimization Problem By Orthogonal Range Shrinkage Technology

Optimality problem is an important principle in the scientific research and planning decisions,we propose an easy method to solve Optimality problem. With the ideological of one half of the approximation solving equations,We propose the method interval contrac-tion to solve extreme values of function by the orthogonal Optimal benign. The general algebraic problem is transferred into statistical problems.Generally, partial derivative or other algebraic methods can be used to solve the extremum of the function.But sometimes the partial derivative or algebraic method is more difficult.If the function is unknown or does not exist partial derivatives. extremal problem with conventional algebraic methods can not be resolved. The proposed method in this paper can solve the extreme value of function in a given interval.We give practical examples to verify the effectiveness and feasibility of this method in SAS (see Appendix).The method has no relationship with the function itself. When the function is unknown,we can use automated model techniques to obtain the model.and then use the interval contraction method to solve the extremum problems.It can also used in mix-design problems and nonlinear program etc.