Grey discrete parameters model and its application

Abstract

To solve the problem that the growth of prediction of discrete grey model is constant, the paper establishes a new grey discrete parameters prediction model by instructing quadratic time-varying parameters, which is called as quadratic time-varying discrete grey model(referred to as QDGM(1,1)). We discuss the affine properties of QDGM model. The paper employed a majorization principle to optimizing the iterative starting value of the new model, and introduced the steps of using QDGM (1, 1) to predict. Finally, there is an instance that demonstrates the new model has the best results in the four discrete grey models. It was proved that the new model greatly improves the simulation and prediction precision.