非齐次GM(1,1)幂模型及其应用  

Nonhomogeneous GM(1,1)Power Model and Its Application

作　　者：马光红 魏勇 Ma Guanghong;Wei Yong(College of Mathematics and Information,China West Normal University,Nanchong 637002,China)

机构地区：[1]西华师范大学数学与信息学院,四川南充637002

出　　处：《洛阳师范学院学报》2020年第5期5-10,17,共7页Journal of Luoyang Normal University

基　　金：四川省应用基础研究资助项目(2008JY0112);四川省高等教育人才培养质量和教学改革资助项目(P09264)。

摘　　要：为了扩展灰色模型的适用范围及提高建模精度,在GM(1,1)模型及Verhulst模型的基础上,对具有非齐次指数特性的数据建立非齐次的GM(1,1)幂模型,通过微分方程及数据变换求解其时间响应式,最后通过实例表明模型的实用性及有用性.In order to extend the applicability of the gray model and its modeling accuracy,a non-homogeneousGM(1,1)power model was established for the data with non-homogeneous exponential characteristics based on the GM(1,1)model and the Verhulst model.The time response formula is solved by differential equation.Finally,an example is given to illustrate the practicability and usefulness of the model.

关 键 词：GM(1 1)幂模型 非齐次 建模精度 

分 类 号：N941[自然科学总论—系统科学]