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Optimal design method for design target and design variable

A technology of design variables and design objectives, applied in the field of optimization design where both design objectives and design variables are intervals, it can solve problems such as the inability to solve design variables in intervals, and achieve the effect of improving generalization, small amount of calculation, and high calculation accuracy.

Inactive Publication Date: 2018-01-05
SOUTHWEST JIAOTONG UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0004] To sum up, the existing optimal design methods cannot solve the interval design variables under the requirements of interval design objectives, and the application is greatly limited.

Method used

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  • Optimal design method for design target and design variable
  • Optimal design method for design target and design variable
  • Optimal design method for design target and design variable

Examples

Experimental program
Comparison scheme
Effect test

Embodiment 1

[0106] Problem Solving with Accurate Theoretical Mathematical Models—Verification Models (A)

[0107] Design goal: the optimal design variable interval of the objective function f<50.

[0108] Objective function: f=x 1 2 +2x 2 2 +2x 3 2 +3x 4 2 +x 5 2 +x 1 *x 2 -2x 3 *x 4 -x 3 *x 5 (7)

[0109] Design variable constraint interval:

[0110]

[0111] The solution process for this problem is as follows:

[0112] Step 1: Preliminary selection of design variable intervals. Since the design variable interval has been given in constraint condition formula (8), the initially selected design variable interval is the constraint interval of each design variable.

[0113] Step 2: Adjust the feasible region of design variables. Firstly, the design variable interval is discretely divided into 50 equal parts, so that the total combination of 5 design variables has 50 equal parts. 5 Group, try to calculate the objective function of the discrete point of each design va...

Embodiment 2

[0131] Solving Problems Without Accurate Theoretical Mathematical Models—Validation Models (B)

[0132] Design goal: the optimal design variable interval of the objective function f<50.

[0133] Objective function: unknown black box. The actual reference function is:

[0134] f=x 1 2 +2x 2 2 +2x 3 2 +3x 4 2 +x 5 2 +x 1 *x 2 -2x 3 *x 4 -x 3 *x 5 (10)

[0135] Design variables and initial intervals:

[0136]

[0137] The specific steps to solve this problem are as follows:

[0138] Step 1: Preliminary selection of design variable intervals.

[0139] Since this problem only gives the lower limit of the design variable (shown in formula (11)), in order to carry out the subsequent experimental design, the upper limit of the design variable is also required, so the initial interval of the design variable can be preliminarily drawn as follows:

[0140]

[0141] Step 2: Select the experimental design method. Since the complexity of the problem is not high,...

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Abstract

The present invention discloses an optimal design method for . The method comprises the following steps: S1. primarily selecting a design variable interval; S2. adjusting a design variable feasible region; S3. carrying out experimental design, and determining whether a to-be-analyzed problem is a problem with an accurate theoretical mathematical model, and if yes, directly executing step S5, or selecting an experimental design method according to a design variable attribute, a design variable quantity, a research purpose and a degree of difficulty in simulation / experiment; S4. constructing a function mapping relationship by means of an approximation model; S5. setting a confidence level or a conflict level; and S6. calculating an optimal interval of a design variable at the given confidence level. The optimal design method provided by the present invention is small in calculation amount, fast in speed and high in precision, can accurately solve linear and non-linear function interval mapping problems with constraints by means of an optimization policy to obtain an interval solution of the design variable, and has important practical value for performing error control of a multi-variable system and improving robustness of the system.

Description

technical field [0001] The invention belongs to the technical field of optimization design, in particular to an optimization design method in which both the design target and the design variables are intervals. Background technique [0002] In recent years, with the increasing scale of industrial process systems and the increasingly tense sources of energy demand and supply, producers have become increasingly strict about the yield and cost control of product design and manufacturing, so they have invested a lot of money in correcting the product before it is formed. to the design. At the same time, in order to reduce product manufacturing costs and post-service costs, producers are no longer satisfied with the method system of matching a single design target with a single design variable combination, because the acquisition of the optimal value usually requires more stringent parameter matching, which is not conducive to product quality. Cost control, so it is hoped that, ...

Claims

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Application Information

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IPC IPC(8): G06F17/50G06F17/18G06Q10/04G06Q50/04
CPCY02P90/30
Inventor 丁渭平黄海波杨明亮朱洪林吴昱东张闻见
Owner SOUTHWEST JIAOTONG UNIV
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