基于三参数的新灰色Verhulst离散直接建模模型

A New Grey Verhulst Discrete Direct Model Based on Three Parameters

首先,基于灰色Verhulst的直接建模模型,对原始数据进行倒数生成,利用离散思想和序列累减,构建了倒数序列与倒数的一次累减序列间的关系式,并利用最小二乘法求解三参数;其次,从新关系式出发,构建了基于相邻的原始序列的新灰色Verhulst的离散直接建模模型,将三参数值代入即可求解模拟预测值;通过实例计算,表明模型的可操作性和优越性.

Firstly, in this paper, to generate the reciprocal sequence for grey Verhulst direct model, it uses the discrete idea and 1-IAGO method, constructs the relationship between the reciprocal sequence and the reciprocal 1-IAGO, the three parameters are solved by the least squares methods;Secondly, this paper constructs a new grey Verhulst model based on adjacent primitive sequence, and takes values of three parameters to the new model;Lastly, the new model is verified the feasibility and superiority through the calculation of an example.