Abstract
An approximation method for cutting off a moment hierarchy in moment-calculations by the master equation is studied based on a Poisson distribution.
A condition of requiring a Poisson distribution is presented in terms of transition rates. This report proposes a simple model for transition rates that are quadratic in terms of a random variable and permit transitions only between each state (0, 1, 2, …) and the nearest. Using this model, the method is explained. The first two order moments are obtained for the steady state as time t tends to infinity. The approach is applied to the study of a traffic flow.
