NDLI: Research on ill-conditioned problem and modeling precision in GM(1,1) model

Content Provider	IEEE Xplore Digital Library
Author	Xin-ping Xiao Shu-hua Mao
Copyright Year	2005
Description	Author affiliation: Coll. of Sci., Wuhan Univ. of Technol., China (Xin-ping Xiao; Shu-hua Mao)
Abstract	To solve the ill-conditioned problem and the modeling precision in grey prediction control GM(1,1) model, a new simple and effective method is presented. This method is based on multiple transformation to original series and center parallel moving transformation to AGO series, that is, a new grey optimization model based on affine transformation is proposed. Firstly, the parameter relationships and properties of the new model are discussed. Secondly, Based on the condition number and the modeling precision, a multi-objective optimization model is set up. By solving the model and choosing coefficients M and p, the condition number of coefficient matrix can be controlled, meanwhile, the prediction accuracy of the original grey model is improved. Finally, we use an application example for our case study to test the efficiency and accuracy of the proposed method.
Starting Page	622
Ending Page	627
File Size	1020235
Page Count	6
File Format	PDF
ISBN	0780392981
DOI	10.1109/ICSMC.2005.1571216
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-10-12
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Predictive models Differential equations Educational institutions Electronic mail Optimization methods Accuracy Testing Stability Control systems Modeling Precision Grey Model Affined Transformation Ill-Conditioned Matrix
Content Type	Text
Resource Type	Article

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