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灰色模型GM(1,1)直接优化建模

程毛林

苏州科技大学学报(自然科学版)2018,Vol.35Issue(2):6-10,5.
苏州科技大学学报(自然科学版)2018,Vol.35Issue(2):6-10,5.DOI:10.12084/j.issn.2096-3289.2018.02.002

灰色模型GM(1,1)直接优化建模

Grey model GM(1,1) direct optimization modeling

程毛林1

作者信息

  • 1. 苏州科技大学 数理学院,江苏 苏州 215009
  • 折叠

摘要

Abstract

The gray model GM(1,1) is a commonly used model in prediction,but it has rather big errors some-times,because its basic form (used to estimate parameters) is not consistent with that of whitenization equation (used for prediction). In order to improve prediction accuracy of models,this paper started with whitenization equation and optimized its solution (time response function ) directly according to some criteria ,such as the mini-mum criterion of average absolute relative errors. This paper selected three-harmony and three-point methods to optimize the initial value of functions. The examples indicate that the directly optimized gray model GM (1,1) has very high accuracy in modeling.

关键词

灰色模型/白化方程/时间响应函数/优化/预测

Key words

grey model/whitenization equation/time response function/optimization/prediction

分类

自科综合

引用本文复制引用

程毛林..灰色模型GM(1,1)直接优化建模[J].苏州科技大学学报(自然科学版),2018,35(2):6-10,5.

基金项目

国家自然科学基金资助项目(11401418) (11401418)

苏州科技大学学报(自然科学版)

2096-3289

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