In this paper, we propose an analytical numerical model to describe the parameters related to capacity factors inspired by renormalization methods in statistical physics and a modified cellular automata model. We demonstrate the validity of our model compared with the simulating results from a cellar automata model in the configuration of this problem. We also address an efficient way to implement numerical computation using our paradigm. Additionally, our work shows an interesting relationship between the statistical scaling and the traffic modelling, which can be discussed and applied in other similar configurations.