摘要
研究了初值修正项为ax^((1))(1)(其中α为修正参数)的灰色Verhuslt模型的修正参数估计方法.针对相关文献中,修正参数α求解无现成公式情况,通过最小化原始序列的一次累加序列与模拟序列之差,建立并求解一个非约束优化模型,获得了初值修正参数α的一个简单有效的计算公式,完善了相关文献中建立的初值修正灰色Verhuslt模型.最后,通过计算实例验证了修正参数公式可以有效提高初值修正灰色Verhuslt模型的精度.
In this paper,we discuss the method for estimating parameter of modified initial value grey Verhulst model,which modified initial value isαx^（（1））（1）.There has been no existing formula of modified initial value parameter in the related reference,and by minimizing the differences between the 1-AGO sequence and simulation sequence of raw sequence and building and solving an unconstrained programming model,we obtain a simple and effective formula of modified parameter,and the modified initial value grey Verhulst model in the related reference is perfected naturally.Lastly,the calculation example indicates that the formula of modified initial value proposed in this paper is feasible and effective,which can enhance the precision of grey Verhulst model.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第10期93-98,共6页
Mathematics in Practice and Theory
基金
河南省教育厅科学技术研究重点项目(12B110027)
郑州航空工业管理学院青年科研基金(2011113001
2011113003)
