High-efficiency Latin hypercube experimental design method

A Latin hypercube and test point technology, applied in computing, special data processing applications, instruments, etc., can solve the problems of poor versatility and low sampling efficiency, and achieve high sampling efficiency and good characteristics

Inactive Publication Date: 2012-10-03
BEIJING INSTITUTE OF TECHNOLOGYGY
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Problems solved by technology

[0005] The purpose of the present invention is to solve the problem of low sampling efficiency and poor versatility in the prior art of engineering design, and propose a high-efficiency Latin Hypercube Design (Efficient maximin Latin Hypercube Design without optimization process for n-dimensional problems, ELHD) method

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  • High-efficiency Latin hypercube experimental design method

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Embodiment Construction

[0037] In order to further illustrate the purpose and advantages of the present invention, the present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.

[0038] figure 1 It is a flowchart of the efficient Latin Hypercube Experimental Design (ELHD) method of the present invention.

[0039] Taking the two-dimensional problem as an example, the technical solution of the ELHD method is explained in detail.

[0040] In a two-dimensional design space (n=2), the sampling problem can be described as a chess piece problem. Scatter m chess pieces (sampling points) on an m×m square chessboard (two-dimensional design space) to ensure the maximization of the smallest distance between any two chess pieces. In order to ensure the spatial uniformity and projection uniformity of the sampling points, in the ELHD method, m unit supervolumes are divided according to adjacent columns, that is, the first column, the second column, ....

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Abstract

The invention relates to a high-efficiency Latin hypercube experimental design method, belonging to the technical field of engineering optimization designs. For realizing the purpose that users extract m experimental design points from an n-dimensional design space in actual engineering, the method comprises the following steps of: presetting the first experimental design point by establishing a space hypercube; determining the second experimental design point in a second unit hypercube by utilizing the first experimental design point; determining the sth experimental design point in the sth unit hypercube by utilizing the obtained s-1 (s is equal to 3, 4, 5,......, m-1) experimental design points until the (m-1) experimental design points are determined; and uniquely determining the mth point meeting the design condition in the mth unit hypercube. The design method can obtain the experimental design points meeting the characteristic requirements of space uniformity and projection uniformity without an optimization process, thereby having high sampling efficiency; and the obtained experimental design points have good properties and are suitable for the optimization fields of any engineering designs and the like with huge operation.

Description

technical field [0001] The invention relates to an efficient Latin hypercube test design method, which belongs to the technical field of engineering optimization design. Background technique [0002] Nowadays, many engineering design problems are becoming more and more complex. In order to improve the analysis accuracy and reliability, many high-precision analysis models are widely used in engineering design. While improving the accuracy and reliability of the analysis, the high-precision analysis model also brings the difficulty of time-consuming calculations. Although today's computer hardware and software technology has made great progress, it is still extremely consuming to call the high-precision analysis model to complete an analysis. Sometimes, for example, it takes several hours or even tens of hours to complete an aerodynamic simulation analysis using a CFD model. Second, modern engineering design problems often involve multiple coupled disciplines. For example, a...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/50
Inventor 刘莉朱华光龙腾
Owner BEIJING INSTITUTE OF TECHNOLOGYGY
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