Information Technology Journal1812-56381812-5646Asian Network for Scientific Information10.3923/itj.2014.1240.1245LiLingfang LiuQiyuan LuoYouxin CheXiaoyi 62014136Applying the problem of lower precision as well as lower adaptability in non-equidistant multivariable MGM(1,n)model, based on index characteristic of grey model GM(1,1), the characteristic of integral, the function with non-homogeneous exponential law was used to fit the accumulated sequence and the formula of background value was given, taking the mean relative error as objective function and taking the modified values of response function initial value as design variables, based on accumulated generating operation of reciprocal number a non-equidistant multivariable optimizing MGRM(1,n) model was put forward which was taken the first component as the initialization. The new non-equidistant multivariable optimizing MGRM(1,n) model can be used in non-equal interval and equal interval time series and has the characteristic of high precision as well as high adaptability. Example validates the practicability and reliability of the proposed model.]]>Luo, Y.X. and J.Y. Li,20092009pp: 40234027Zhai, J., J.M. Sheng and Y.J. Feng,199715109113He, Z.M. and Y.X. Luo,20092009Luo, Y.X. and W.Y. Xiao,20092009Wang, F.X.,20079388390Xiong, P.P., Y.G. Dang and H. Zhu,2011264953Xiong, P.P., Y.G. Dang and Y. Yang,20102010pp: 277281Wang, Y.M., Y.G. Dang and Z.X. Wang,200816159162Dai, W.Z. and J.F. Li,2005258993Wang, Z.X., Y.G. Dang and S.F. Liu,2008286167Zhou, H. and X.G. Wang,2008278486Youxin, L. and C. Xiaoyi,2008335861