Random walk model based statistical analysis and application on transport simulation

In this work, A simulation model of the random walk in the two dimensional space of Brown motion, which is proposed and implemented. The simulation model generates the mass action of nodes group, and the distribution probability in four quadrants of the random nodes with position change of the nodes is studied. And on this basis, using the data analysis method of mathematical statistics, such as quadrant probability, fitting curve and correlation analysis, it do a detailed analysis of the data, algorithm and test result of random motion. In terms of statistic theorems, the experimental analysis of the mass action of the group has been carried out. The effectiveness of the proposed method is verified through two application examples. The application experiments of the proposed method indicates that the random walk model based Brownian motion might provide accurate and reliable vehicle motion pattern to the transport simulation.