Improvement and Application of Initial Value of Non-Equidistant New Information GM(1,1) Model

Author:

Cai Yue Hua1,Zeng Wu Jun1

Affiliation:

1. Hunan University of Arts and Science

Abstract

Considering the problems in determining the initial value of the non-equidistant new information GM(1,1) model, the author analyzed its modeling mechanism to find out the causes of the problem. A new method for initiating value for the model is proposed to minimize the quadratic sum of the fitting error, and a initiating formula is deduced. The model with the proposed formula enjoys a high precision and adaptability, and its practicability and reliability have been validated by examples.

Publisher

Trans Tech Publications, Ltd.

Reference12 articles.

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3. LUO Y X, WU X, LI M. Function-transfer method of parameters estimation of grey GM(1, 1) model and its application[J]. Journal of Mechanical Strength, 2002, 24(3): 450-452.

4. WANG Y M, DANG Y G, WANG Z X. The optimization of background value in non-Equidistant GM(1, 1) model[J]. Chinese Journal of Management Science, 2008, 16(4): 159-162.

5. DANG Y G, LIU S F, LIU B. The GM models that x^(1)(n)be taken as initial value[J]. Chinese Journal of Management Science, 2005, 13(1): 132-135.

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