Abstract
In this paper, after to show the model of pedestrian flows in matrix is examined, we investigate the natures of eigen values and vectors of the transition matrix used in the model of pedestrian flows. We prove the application of transition matrix useful to analyze and calculate the pedestrian flows. Conclusions are as follows. 1) Showing the model of pedestrian flows in matrix, the model becomes very easy to handle. 2) By using the eigen values and vectors of transition matrix, computational steps were made simple. 3) The first eigen vector of transition matrix means the ratio of pedestrian flows on each node at steady-state condition. The other eigen values mean the speed of convergence. 4) The eigen vectors of the positive eigen values express mainly geographical factor, and the eigen vectors of the negative values express mainly the attractive factor.
