The invention relates to a
zoning-based combined approximate
model building method which has high adaptability to unknown linear and nonlinear problems. The
zoning-based combined approximate
model building method is characterized in that a combined approximate model is built under the condition that the input values and the output values of a certain number groups are given to approximate the input and output
analytic relation of a
system, and the output of the
system is forecasted under the condition that the input of the
system is given. The
zoning-based combined approximate
model building method is mainly applied to approximation of the
functional relation between optimization objectives and variables during
optimal design. As for the problem that the strong linear or nonlinear features of local areas cannot be well captured because traditional approximate models adopt modeling on the whole test area, the concept of modeling by dividing the whole test area is adopted. On one hand, the precision forecasting
advantage of the combined approximate model to a single approximate model is utilized, and on the other hand, the purpose of improving the forecasting precision to the local area is achieved, so that the overall forecasting precision of the model is improved. Therefore, the computing time and resources, consumed by iterative optimal solution solving, can be greatly shortened and reduced in the optimization process.