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

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.

• Periodical: Applied Mechanics and Materials (Volumes 198-199)
• Pages: 833-838
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.198-199.833
• Online since: September 2012
• Authors: Yue Hua Cai, Wu Jun Zeng
• Keywords: Background Value, GM(1,1) Model, Grey System, Initial Condition, New Information Principle, Non-Equidistant Interval, Precision

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