The stationary analysis for the system with transaction lost

Abstract

The purpose of this paper is to theoretically identify that there exist stationary distributions in the system with transaction lost. In order to examine this type of system, we formulate and analyze the input/output process as the counting process based on point process. Accordingly, we make clear that this stationary distributions are the geometrical distributions as well. We, also analyze the average transit time in the stationary. We presented the simulation results in order to evaluate this system.