The hybrid simplex artificial bee colony algorithm which combines artificial bee colony algorithm with the Nelder-Mead simplex search method for improving the search efficiency in computation is proposed.

A methodology of inversion analysis combining the Nelder-Mead algorithm and finite element.

Study on Establishment of Polymorphic Site Index Model by Modified Simplex Method;

Based on the index formula of pollution harm for atmosphere quality assessment proposed by Li Zuoyong,the new index formula of pollution harm for atmosphere quality assessment suitable to multipollutant was derived and its parameters were optimized by modified simplex method.

Through optimizing the related parameters by modified simplex method, an optimizing conversion formula between hardness and strength for steels has been obtained, and the accurate conversion formula can be described as: σb=208.

Meanwhile,through the revised simplex method,optimal control condition is found when the concentration of the carbon dioxide is up to 99.

Based on the Gaussian elimination technique and its relevant theory of the matrix decomposition, a variant of the revised simplex method that possesses better numerical stability is discussed.

Realization of improved simplex method using MATLAB;

By means of improved simplex method and in combination with economic theory,an analysis scheme and algorithm have been presented in the light of recovery electric heating system.