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Multivariable MGRM (1, N) Model with Non Equidistance Based on Reciprocal Accumulated Generating Operation

Lijun YANG, Zhiheng DENG, Xueliang JIANG

Abstract


The first-order accumulated generating sequence was fit with homogeneous exponential functions according to the exponent characteristics and integration features of grey model GM(1, 1). A constructing method of the background values of non-equidistant MGRM (1, n) model was proposed, and the background value constructing formula was given. The multivariable non-equidistant MGRM(1, n) model was presented with the first component of the original data taken as the initial condition of the grey differential equations based on reciprocal accumulated generating operation. This model, with high precision and great adaptability, is suitable for both equidistant and non-equidistant modeling. And the applicability and the reliability of the model were proven by real cases.

Keywords


Multivariable, Background Value, Reciprocal Accumulated Generating Operation, Non-Equidistant, Non-Equidistant MGRM (1, N) Model.

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