Based on the problem of simulation and prediction of the non-equidistant raw data series for the multi-variable
with interaction, the multi-variable MGM(1,??) model in the case of non-equidistance is modeled and the non-equidistance
MGM(1,??) model is constructed in order to improve the accuracy of simulation and prediction. The simulation and
prediction accuracy is proved to be higher in multi-variable non-equidistant MGM(1,??) model than in single-variable non-
equidistant GM(1,1) models according to an application. The proposed model is suitable in non-equidistant modeling and
equidistant modeling, thus, non-equidistant model has broad applying value.