%0 Journal Article
%T Research on Extension of Discrete Grey Model and Its Optimize Formula<br>离散灰色模型的拓展及其最优化求解
%A XIE Nai-ming
%A LIU Si-feng
%A <br>谢乃明
%A 刘思峰
%J 系统工程理论与实践
%D 2006
%I 
%X Objective: To discuss the problem that different iterative datum value caused different simulative and predicative result in Grey forecasting model and its resolvent.To research on discrete grey model of non-homogenous index sequence.Methods:Adopt the methods of theoretical proving and graphic analyzing.We compare the different infections caused by three different iterative datum value:starting-point,middle-point and ending-point.We construct several new grey forecasting model and parameter formula.Results:different iterative datum value influence the simulative and predicative results undoubtedly.We construct optimized discrete grey model and unconstrained optimize parameter formula.And we establish the discrete grey model of non-homogenous index sequence.Conclusions:The optimized discrete grey model can solve the problem that different infections caused by different iterative datum value: starting-point and it can substitute GM(1,1) model and discrete grey model to simulate and forecast.Discrete grey model is extended and it can be used in non-homogenous index sequence.
%K discrete grey model
%K unconstrained optimize model
%K non-homogenous sequence
%K iterative datum value
%K error<br>离散灰色模型
%K 无约束优化模型
%K 非齐次序列
%K 迭代基值
%K 误差
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=01BA20E8BA813E1908F3698710BBFEFEE816345F465FEBA5&cid=962324E222C1AC1D&jid=1D057D9E7CAD6BEE9FA97306E08E48D3&aid=026A5DB56DB52C65&yid=37904DC365DD7266&vid=96C778EE049EE47D&iid=B31275AF3241DB2D&sid=6270DC1B5693DDAF&eid=4BB057F167CF3A60&journal_id=1000-6788&journal_name=系统工程理论与实践&referenced_num=0&reference_num=15