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Combined Kriging model construction method based on combined prediction method

A technology that combines prediction and construction methods, applied in CAD numerical modeling, special data processing applications, instruments, etc., can solve the problems of incomplete sample information, unfavorable to ensure the prediction accuracy of Kriging model, loss of sample information, etc., and achieve prediction performance. Stable, high practical application value, and the effect of improving integrity

Inactive Publication Date: 2016-12-07
XIJING UNIV
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Problems solved by technology

From the perspective of combined forecasting, using a single and inappropriate correlation function to construct the Kriging model will make the sample information obtained by the model one-sided, resulting in the loss of some sample information and incomplete sample information, which is not conducive to ensuring the Kriging model prediction. precision

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  • Combined Kriging model construction method based on combined prediction method
  • Combined Kriging model construction method based on combined prediction method
  • Combined Kriging model construction method based on combined prediction method

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Embodiment Construction

[0017] The present invention will be further described below in conjunction with the accompanying drawings and embodiments.

[0018] refer to figure 1 , a method for constructing a combined Kriging model based on a combined forecasting method, comprising the following steps:

[0019] 1) Let the known sample point design variable X={x 1 ,x 2 ,...,x n}, and its corresponding response is Y={y(x 1 ),y(x 2 ),…,y(x n )};

[0020] Consider a two-dimensional function shown in formula (1), which corresponds to a set of sample points The corresponding response value is Its original response surface is as figure 2 as shown,

[0021] f ( x ) = ( x 2 - 5.1 x 1 2 ...

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Abstract

The invention relates to a combined Kriging model construction method based on a combined prediction method. Firstly, seven different types of related functions are used for respectively constructing seven single related function Kriging approximate models; then by using the minimum average absolute relative error as the optimization objective, an optimization model of a weight value of each single related function Kriging model is constructed, and an optimal weight value is obtained; and finally, by utilizing the optimal weight value and the seven single related function Kriging approximate models constructed on the basis of seven different types of related functions, a combined Kriging model is constructed. The combined Kriging model disclosed by the invention has the characteristics of high prediction accuracy and more stable prediction performance, and has high practical value in the field of engineering optimization design of value simulation calculation of a computer.

Description

technical field [0001] The invention belongs to the technical field of engineering design optimization, in particular to a method for constructing a combined Kriging model based on a combined prediction method. technical background [0002] In recent years, high-precision numerical simulation technology has been widely used in engineering design and optimization. Using numerical simulation technology can accurately simulate the mechanical characteristics and working performance of engineering structures under different stress states and working conditions. Engineering designers provide design basis to reduce design cost while improving engineering design efficiency. In order to obtain more accurate simulation calculation results, it is usually necessary to build a more refined simulation model, which increases the calculation scale of the numerical simulation model, increases the time consumption of numerical simulation calculation, and reduces the efficiency of engineering ...

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/20G06F2111/10
Inventor 解欢曾威赵慧娟蔺国民仝崇楼
Owner XIJING UNIV
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