Abstract: Studying the evolution process of grey prediction model modeling can better understand the essential characteristics and state changes of the model. Inertial grey model mainly studies the evolution process of grey prediction model modeling to understand the state of system change. In this paper, the mechanical properties of data and the matrix analysis method are used to study the modeling steps of the inertial grey model, simplify the structural parameters and component parameters of the inertial model in reference ［1］, summarize the mechanical transformation formulas for solving various data sequences, and obtain the modeling mechanism of various inertial grey models. Finally, the evolution process of system state is studied through examples, the inertial gray GM(1,1) model is applied to the determination of traffic flow state, and the corresponding relationship between three-phase traffic flow and three inertial gray GM(1,1) models is obtained. At the same time, the simulation results of the three inertial models are used to accurately judge the state of the traffic flow, reveal the real-time characteristics of the traffic system, and provide a reliable theoretical basis for traffic planning, control and optimization.

Key words: grey inertial model; force decomposition transformation; matrix analysis; three-phase traffic flow