A New Class of Multivariable Grey MNGM(1,n,k)Model and Its Optimization

Since each sequence in the original sequence matrix obeyed the non-homogeneous exponential growth rule,the prediction result of using the traditional multivariable grey MGM(1,n)model was not good.A multivariable grey MNGM(1,n,k)model was proposed,together with the corresponding time response formula.To further improve the prediction accuracy of the new model,its background value was optimized.Finally,an example was illustrated to verify the improved effect,the results show that the prediction accuracies of the traditional MGM(1,n)model,the proposed MNGM(1,n,k)model and its optimized version are in the increasing order.This confirms the validity and practicability of the new model and its optimized version.